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Title: Basis light front quantization for the charged light mesons with color singlet Nambu–Jona-Lasinio interactions

Abstract

We apply the basis light front quantization (BLFQ) approach to describe the valence structures of the charged light meson ground states. Specifically, the light front wave functions of π ±, ρ ±, K ± and K∗ ± are obtained as the eigenvectors of the light front effective Hamiltonians with confinement potentials supplemented by the color singlet Nambu–Jona-Lasinio (NJL) interactions. We adjust our model such that the spectrum of these ground states and the charge radii of the pseudoscalar states agree with experimental results. We present the elastic form factors and parton distribution amplitudes (PDAs) as illustrations of the internal structures of the pseudoscalar pions and kaons in terms of valence quarks.

Authors:
ORCiD logo [1]; ORCiD logo [1]
  1. Iowa State Univ., Ames, IA (United States)
Publication Date:
Research Org.:
Iowa State Univ., Ames, IA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1498739
Alternate Identifier(s):
OSTI ID: 1546175
Grant/Contract Number:  
FG02-87ER40371; SC0018223; SC0015376
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 99; Journal Issue: 3; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; light front quantization; meson structure

Citation Formats

Jia, Shaoyang, and Vary, James P. Basis light front quantization for the charged light mesons with color singlet Nambu–Jona-Lasinio interactions. United States: N. p., 2019. Web. doi:10.1103/PhysRevC.99.035206.
Jia, Shaoyang, & Vary, James P. Basis light front quantization for the charged light mesons with color singlet Nambu–Jona-Lasinio interactions. United States. doi:10.1103/PhysRevC.99.035206.
Jia, Shaoyang, and Vary, James P. Mon . "Basis light front quantization for the charged light mesons with color singlet Nambu–Jona-Lasinio interactions". United States. doi:10.1103/PhysRevC.99.035206.
@article{osti_1498739,
title = {Basis light front quantization for the charged light mesons with color singlet Nambu–Jona-Lasinio interactions},
author = {Jia, Shaoyang and Vary, James P.},
abstractNote = {We apply the basis light front quantization (BLFQ) approach to describe the valence structures of the charged light meson ground states. Specifically, the light front wave functions of π±, ρ±, K± and K∗ ± are obtained as the eigenvectors of the light front effective Hamiltonians with confinement potentials supplemented by the color singlet Nambu–Jona-Lasinio (NJL) interactions. We adjust our model such that the spectrum of these ground states and the charge radii of the pseudoscalar states agree with experimental results. We present the elastic form factors and parton distribution amplitudes (PDAs) as illustrations of the internal structures of the pseudoscalar pions and kaons in terms of valence quarks.},
doi = {10.1103/PhysRevC.99.035206},
journal = {Physical Review C},
number = 3,
volume = 99,
place = {United States},
year = {2019},
month = {3}
}

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P.; Cloët, Ian C.; Thomas, Anthony W.</span> </li> <li> Physical Review C, Vol. 94, Issue 3</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.1103/PhysRevC.94.035201" class="text-muted" target="_blank" rel="noopener noreferrer">10.1103/PhysRevC.94.035201<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> <hr/> </div><div> <h2 class="title" style="margin-bottom:0;" data-apporder=""> <a href="https://doi.org/10.1103/PhysRevLett.24.181" target="_blank" rel="noopener noreferrer" class="name">Connection of Elastic Electromagnetic Nucleon Form Factors at Large <math display="inline"> <mrow> <msup> <mrow> <mi>Q</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> </mrow> </math> and Deep Inelastic Structure Functions Near Threshold<span class="fa fa-external-link" aria-hidden="true"></span></a> <small class="text-muted" style="text-transform:uppercase; font-size:0.75rem;"><br/> <span class="type">journal</span>, <span class="date" data-date="1970-01-01">January 1970</span></small> </h2> <ul class="small references-list" style="list-style-type:none; margin-top: 0.5em; padding-left: 0; line-height:1.8em;"> <li> <span style="color:#5C7B2D;"> Drell, Sidney D.; Yan, Tung-Mow</span> </li> <li> Physical Review Letters, Vol. 24, Issue 4</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.1103/PhysRevLett.24.181" class="text-muted" target="_blank" rel="noopener noreferrer">10.1103/PhysRevLett.24.181<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> <hr/> </div><div> <h2 class="title" style="margin-bottom:0;" data-apporder=""> <a href="https://doi.org/10.1103/PhysRevLett.86.4768" target="_blank" rel="noopener noreferrer" class="name">Direct Measurement of the Pion Valence-Quark Momentum Distribution, the Pion Light-Cone Wave Function Squared<span class="fa fa-external-link" aria-hidden="true"></span></a> <small class="text-muted" style="text-transform:uppercase; font-size:0.75rem;"><br/> <span class="type">journal</span>, <span class="date" data-date="2001-05-01">May 2001</span></small> </h2> <ul class="small references-list" style="list-style-type:none; margin-top: 0.5em; padding-left: 0; line-height:1.8em;"> <li> <span style="color:#5C7B2D;"> Aitala, E. M.; Amato, S.; Anjos, J. C.</span> </li> <li> Physical Review Letters, Vol. 86, Issue 21</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.1103/PhysRevLett.86.4768" class="text-muted" target="_blank" rel="noopener noreferrer">10.1103/PhysRevLett.86.4768<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> <hr/> </div><div> <h2 class="title" style="margin-bottom:0;" data-apporder=""> <a href="https://doi.org/10.1103/PhysRevC.78.045203" target="_blank" rel="noopener noreferrer" class="name">Charged pion form factor between <math display="inline"> <mrow> <msup> <mi>Q</mi> <mrow> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mn>0</mn> <mo>.</mo> <mn>60</mn> </mrow> </math> and <math display="inline"> <mrow> <mn>2</mn> <mo>.</mo> <mn>45</mn> <mi> </mi> <mi mathvariant="normal">GeV</mi> <msup> <mi/> <mrow> <mn>2</mn> </mrow> </msup> </mrow> </math> . II. Determination of, and results for, the pion form factor<span class="fa fa-external-link" aria-hidden="true"></span></a> <small class="text-muted" style="text-transform:uppercase; font-size:0.75rem;"><br/> <span class="type">journal</span>, <span class="date" data-date="2008-10-01">October 2008</span></small> </h2> <ul class="small references-list" style="list-style-type:none; margin-top: 0.5em; padding-left: 0; line-height:1.8em;"> <li> <span style="color:#5C7B2D;"> Huber, G. M.; Blok, H. P.; Horn, T.</span> </li> <li> Physical Review C, Vol. 78, Issue 4</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.1103/PhysRevC.78.045203" class="text-muted" target="_blank" rel="noopener noreferrer">10.1103/PhysRevC.78.045203<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> <hr/> </div><div> <h2 class="title" style="margin-bottom:0;" data-apporder=""> <a href="https://doi.org/10.1103/RevModPhys.64.649" target="_blank" rel="noopener noreferrer" class="name">The Nambu—Jona-Lasinio model of quantum chromodynamics<span class="fa fa-external-link" aria-hidden="true"></span></a> <small class="text-muted" style="text-transform:uppercase; font-size:0.75rem;"><br/> <span class="type">journal</span>, <span class="date" data-date="1992-07-01">July 1992</span></small> </h2> <ul class="small references-list" style="list-style-type:none; margin-top: 0.5em; padding-left: 0; line-height:1.8em;"> <li> <span style="color:#5C7B2D;"> Klevansky, S. P.</span> </li> <li> Reviews of Modern Physics, Vol. 64, Issue 3</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.1103/RevModPhys.64.649" class="text-muted" target="_blank" rel="noopener noreferrer">10.1103/RevModPhys.64.649<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> <hr/> </div><div> <h2 class="title" style="margin-bottom:0;" data-apporder=""> <a href="https://doi.org/10.1103/PhysRevD.66.094501" target="_blank" rel="noopener noreferrer" class="name">Lattice calculation of heavy-light decay constants with two flavors of dynamical quarks<span class="fa fa-external-link" aria-hidden="true"></span></a> <small class="text-muted" style="text-transform:uppercase; font-size:0.75rem;"><br/> <span class="type">journal</span>, <span class="date" data-date="2002-11-01">November 2002</span></small> </h2> <ul class="small references-list" style="list-style-type:none; margin-top: 0.5em; padding-left: 0; line-height:1.8em;"> <li> <span style="color:#5C7B2D;"> Bernard, C.; Datta, S.; DeGrand, T.</span> </li> <li> Physical Review D, Vol. 66, Issue 9</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.1103/PhysRevD.66.094501" class="text-muted" target="_blank" rel="noopener noreferrer">10.1103/PhysRevD.66.094501<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> <hr/> </div><div> <h2 class="title" style="margin-bottom:0;" data-apporder=""> <a href="https://doi.org/10.1103/PhysRevD.91.105009" target="_blank" rel="noopener noreferrer" class="name">Basis light-front quantization approach to positronium<span class="fa fa-external-link" aria-hidden="true"></span></a> <small class="text-muted" style="text-transform:uppercase; font-size:0.75rem;"><br/> <span class="type">journal</span>, <span class="date" data-date="2015-05-01">May 2015</span></small> </h2> <ul class="small references-list" style="list-style-type:none; margin-top: 0.5em; padding-left: 0; line-height:1.8em;"> <li> <span style="color:#5C7B2D;"> Wiecki, Paul; Li, Yang; Zhao, Xingbo</span> </li> <li> Physical Review D, Vol. 91, Issue 10</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.1103/PhysRevD.91.105009" class="text-muted" target="_blank" rel="noopener noreferrer">10.1103/PhysRevD.91.105009<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> <hr/> </div><div> <h2 class="title" style="margin-bottom:0;" data-apporder=""> <a href="https://doi.org/10.1103/PhysRevC.90.045202" target="_blank" rel="noopener noreferrer" class="name">Role of diquark correlations and the pion cloud in nucleon elastic form factors<span class="fa fa-external-link" aria-hidden="true"></span></a> <small class="text-muted" style="text-transform:uppercase; font-size:0.75rem;"><br/> <span class="type">journal</span>, <span class="date" data-date="2014-10-01">October 2014</span></small> </h2> <ul class="small references-list" style="list-style-type:none; margin-top: 0.5em; padding-left: 0; line-height:1.8em;"> <li> <span style="color:#5C7B2D;"> Cloët, Ian C.; Bentz, Wolfgang; Thomas, Anthony W.</span> </li> <li> Physical Review C, Vol. 90, Issue 4</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.1103/PhysRevC.90.045202" class="text-muted" target="_blank" rel="noopener noreferrer">10.1103/PhysRevC.90.045202<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> <hr/> </div></div> <div class="pagination-container small"> <a class="pure-button prev page" href="#" rel="prev"><span class="fa fa-angle-left"></span></a><ul class="pagination d-inline-block" style="padding-left:.2em;"></ul><a class="pure-button next page" href="#" rel="next"><span class="fa fa-angle-right"></span></a> </div> </div> </div> <div class="col-sm-3 order-sm-3"> <ul class="nav nav-stacked"> <li class="active"><a href="" class="reference-type-filter tab-nav" data-tab="biblio-references" data-filter="type" data-pattern="*"><span class="fa fa-angle-right"></span> All References</a></li> <li class="small" style="margin-left:.75em; 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float:none;">[ × clear filter / sort ]</a> </div> </form> </div> </div> </div> </section> <section id="biblio-related" class="tab-content tab-content-sec " data-tab="biblio"> <div class="row"> <div class="col-sm-9 order-sm-9"> <section id="biblio-similar" class="tab-content tab-content-sec active" data-tab="related"> <div class="padding"> <p class="lead text-muted" style="font-size: 18px; margin-top:0px;">Similar records in OSTI.GOV collections:</p> <aside> <ul class="item-list" itemscope itemtype="http://schema.org/ItemList" style="padding-left:0; list-style-type: none;"> <li> <div class="article item document" itemprop="itemListElement" itemscope itemtype="http://schema.org/WebPage"><meta itemprop="position" content="0" /><div class="item-info"> <h2 class="title" itemprop="name headline"><a href="/pages/biblio/1466449-radiative-transitions-between-heavy-quarkonia-light-front" itemprop="url">Radiative transitions between <math> <msup> <mn> 0 </mn> <mrow> <mo> - </mo> <mo> + </mo> </mrow> </msup> </math> and <math> <msup> <mn> 1 </mn> <mrow> <mo> - </mo> <mo> - </mo> </mrow> </msup> </math> heavy quarkonia on the light front</a></h2> <div class="metadata"> <small class="text-muted" style="text-transform:uppercase;display:block;line-height:2.5em;">Journal Article</small><span class="authors"> <span class="author">Li, Meijian</span> ; <span class="author">Li, Yang</span> ; <span class="author">Maris, Pieter</span> ; <span class="author">...</span> <span class="text-muted pubdata"> - Physical Review D</span> </span> </div> <div class="abstract">We present calculations of radiative transitions between vector and pseudoscalar quarkonia in the light-front Hamiltonian approach. The valence sector light-front wave functions of heavy quarkonia are obtained from the Basis Light-Front Quantization approach in a holographic basis. We study the transition form factor with both the traditional “good current” J <sup>+</sup> and the transverse current<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> $$→\atop{J}_⊥$$ (in particular, J <sup>R</sup> = J <sup>x</sup> + iJ <sup>y</sup>). This allows us to investigate the role of rotational symmetry by considering vector mesons with different magnetic projections (m <sub>j</sub> = 0 , ± 1 ). We use the m <sub>j</sub> = 0 state of the vector meson to obtain the transition form factor, since this procedure employs the dominant spin components of the light-front wave functions and is more robust in practical calculations. While the m <sub>j</sub> = ± 1 states are also examined, transition form factors depend on subdominant components of the light-front wave functions and are less robust. Transitions between states below the open-flavor thresholds are computed, including those for excited states. Comparisons are made with the experimental measurements, as well as with lattice QCD and quark model results. In addition, we apply the transverse current to calculate the decay constant of vector mesons where we obtain consistent results using either m <sub>j</sub> = 0 or m <sub>j</sub> = 1 light-front wave functions. This consistency provides evidence for features of rotational symmetry within the model.</span><a href='#' onclick='$(this).hide().prev().hide().prev().show();return false;' style='margin-left:10px;display:none;'>« less</a></div><div class="metadata-links small clearfix text-muted" style="margin-top:15px;"> <span class="fa fa-book text-muted" aria-hidden="true"></span> Cited by 5<div class="pure-menu pure-menu-horizontal pull-right" style="width:unset;"> <ul class="pure-menu-list"> <li class="pure-menu-item"><span class="item-info-ftlink">DOI: <a class="misc doi-link " href="https://doi.org/10.1103/physrevd.98.034024" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="1466449" data-product-type="Journal Article" data-product-subtype="PA" >10.1103/physrevd.98.034024</a></span></li> </ul> </div> </div> </div> <div class="clearfix"></div> </div> </li> <li> <div class="article item document" itemprop="itemListElement" itemscope itemtype="http://schema.org/WebPage"><meta itemprop="position" content="1" /><div class="item-info"> <h2 class="title" itemprop="name headline"><a href="/pages/biblio/1498960-radiative-transitions-between-heavy-quarkonia-light-front" itemprop="url">Radiative transitions between <math> <msup> <mn> 0 </mn> <mrow> <mo> - </mo> <mo> + </mo> </mrow> </msup> </math> and <math> <msup> <mn> 1 </mn> <mrow> <mo> - </mo> <mo> - </mo> </mrow> </msup> </math> heavy quarkonia on the light front</a></h2> <div class="metadata"> <small class="text-muted" style="text-transform:uppercase;display:block;line-height:2.5em;">Journal Article</small><span class="authors"> <span class="author">Li, Meijian</span> ; <span class="author">Li, Yang</span> ; <span class="author">Maris, Pieter</span> ; <span class="author">...</span> <span class="text-muted pubdata"> - Physical Review D</span> </span> </div> <div class="abstract">We present calculations of radiative transitions between vector and pseudoscalar quarkonia in the light-front Hamiltonian approach. The valence sector light-front wave functions of heavy quarkonia are obtained from the Basis Light-Front Quantization approach in a holographic basis. We study the transition form factor with both the traditional “good current” J <sup>+</sup> and the transverse current<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> $$→\atop{J}_⊥$$ (in particular, J <sup>R</sup> = J <sup>x</sup> + iJ <sup>y</sup>). This allows us to investigate the role of rotational symmetry by considering vector mesons with different magnetic projections (m <sub>j</sub> = 0 , ± 1 ). We use the m <sub>j</sub> = 0 state of the vector meson to obtain the transition form factor, since this procedure employs the dominant spin components of the light-front wave functions and is more robust in practical calculations. While the m <sub>j</sub> = ± 1 states are also examined, transition form factors depend on subdominant components of the light-front wave functions and are less robust. Transitions between states below the open-flavor thresholds are computed, including those for excited states. Comparisons are made with the experimental measurements, as well as with lattice QCD and quark model results. In addition, we apply the transverse current to calculate the decay constant of vector mesons where we obtain consistent results using either m <sub>j</sub> = 0 or m <sub>j</sub> = 1 light-front wave functions. This consistency provides evidence for features of rotational symmetry within the model.</span><a href='#' onclick='$(this).hide().prev().hide().prev().show();return false;' style='margin-left:10px;display:none;'>« less</a></div><div class="metadata-links small clearfix text-muted" style="margin-top:15px;"> <span class="fa fa-book text-muted" aria-hidden="true"></span> Cited by 5<div class="pure-menu pure-menu-horizontal pull-right" style="width:unset;"> <ul class="pure-menu-list"> <li class="pure-menu-item"><span class="item-info-ftlink">DOI: <a class="misc doi-link " href="https://doi.org/10.1103/physrevd.98.034024" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="1498960" data-product-type="Journal Article" data-product-subtype="AM" >10.1103/physrevd.98.034024</a></span></li> <li class="pure-menu-item"><span class="item-info-ftlink"><a class="misc fulltext-link " href="/pages/servlets/purl/1498960" title="Link to document media" target="_blank" rel="noopener" data-ostiid="1498960" data-product-type="Journal Article" data-product-subtype="AM" >Full Text Available</a></span></li> </ul> </div> </div> </div> <div class="clearfix"></div> </div> </li> <li> <div class="article item document" itemprop="itemListElement" itemscope itemtype="http://schema.org/WebPage"><meta itemprop="position" content="2" /><div class="item-info"> <h2 class="title" itemprop="name headline"><a href="/pages/biblio/1500138-form-factors-generalized-parton-distributions-heavy-quarkonia-basis-light-front-quantization" itemprop="url">Form factors and generalized parton distributions of heavy quarkonia in basis light front quantization</a></h2> <div class="metadata"> <small class="text-muted" style="text-transform:uppercase;display:block;line-height:2.5em;">Journal Article</small><span class="authors"> <span class="author">Adhikari, Lekha</span> ; <span class="author">Li, Yang</span> ; <span class="author">Li, Meijian</span> ; <span class="author">...</span> <span class="text-muted pubdata"> - Physical Review C</span> </span> </div> <div class="abstract">We estimate the electromagnetic (charge, magnetic, and quadrupole) form factors and the associated static moments of heavy quarkonia (charmonia and bottomonia) using the basis light front quantization (BLFQ) approach. For this work, we adopt light front wave functions (LFWFs) generated by a holographic QCD confining potential and a one-gluon exchange interaction with fixed coupling. We compare our BLFQ results with the limiting case of a single BLFQ basis state description of heavy quarkonia and with other available results. These comparisons provide insights into relativistic effects. Using the same LFWFs generated in the BLFQ approach, we also present the generalized parton<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> distributions (GPDs) for selected mesons including those for radially excited mesons such as ψ' and Υ. Our GPD results establish the foundation within BLFQ for further investigating hadronic structure such as probing the spin structure of spin-one hadrons in the off-forward limit.</span><a href='#' onclick='$(this).hide().prev().hide().prev().show();return false;' style='margin-left:10px;display:none;'>« less</a></div><div class="metadata-links small clearfix text-muted" style="margin-top:15px;"> <span class="fa fa-book text-muted" aria-hidden="true"></span> Cited by 2<div class="pure-menu pure-menu-horizontal pull-right" style="width:unset;"> <ul class="pure-menu-list"> <li class="pure-menu-item"><span class="item-info-ftlink">DOI: <a class="misc doi-link " href="https://doi.org/10.1103/PhysRevC.99.035208" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="1500138" data-product-type="Journal Article" data-product-subtype="PA" >10.1103/PhysRevC.99.035208</a></span></li> </ul> </div> </div> </div> <div class="clearfix"></div> </div> </li> <li> <div class="article item document" itemprop="itemListElement" itemscope itemtype="http://schema.org/WebPage"><meta itemprop="position" content="3" /><div class="item-info"> <h2 class="title" itemprop="name headline"><a href="/pages/biblio/1530406-form-factors-generalized-parton-distributions-heavy-quarkonia-basis-light-front-quantization" itemprop="url">Form factors and generalized parton distributions of heavy quarkonia in basis light front quantization</a></h2> <div class="metadata"> <small class="text-muted" style="text-transform:uppercase;display:block;line-height:2.5em;">Journal Article</small><span class="authors"> <span class="author">Adhikari, Lekha</span> ; <span class="author">Li, Yang</span> ; <span class="author">Li, Meijian</span> ; <span class="author">...</span> <span class="text-muted pubdata"> - Physical Review C</span> </span> </div> <div class="abstract">We estimate the electromagnetic (charge, magnetic, and quadrupole) form factors and the associated static moments of heavy quarkonia (charmonia and bottomonia) using the basis light front quantization (BLFQ) approach. For this work, we adopt light front wave functions (LFWFs) generated by a holographic QCD confining potential and a one-gluon exchange interaction with fixed coupling. We compare our BLFQ results with the limiting case of a single BLFQ basis state description of heavy quarkonia and with other available results. These comparisons provide insights into relativistic effects. Using the same LFWFs generated in the BLFQ approach, we also present the generalized parton<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> distributions (GPDs) for selected mesons including those for radially excited mesons such as ψ' and Υ. Our GPD results establish the foundation within BLFQ for further investigating hadronic structure such as probing the spin structure of spin-one hadrons in the off-forward limit.</span><a href='#' onclick='$(this).hide().prev().hide().prev().show();return false;' style='margin-left:10px;display:none;'>« less</a></div><div class="metadata-links small clearfix text-muted" style="margin-top:15px;"> <span class="fa fa-book text-muted" aria-hidden="true"></span> Cited by 2<div class="pure-menu pure-menu-horizontal pull-right" style="width:unset;"> <ul class="pure-menu-list"> <li class="pure-menu-item"><span class="item-info-ftlink">DOI: <a class="misc doi-link " href="https://doi.org/10.1103/PhysRevC.99.035208" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="1530406" data-product-type="Journal Article" data-product-subtype="AM" >10.1103/PhysRevC.99.035208</a></span></li> <li class="pure-menu-item"><span class="item-info-ftlink"><a class="misc fulltext-link " href="/pages/servlets/purl/1530406" title="Link to document media" target="_blank" rel="noopener" data-ostiid="1530406" data-product-type="Journal Article" data-product-subtype="AM" >Full Text Available</a></span></li> </ul> </div> </div> </div> <div class="clearfix"></div> </div> </li> <li> <div class="article item document" itemprop="itemListElement" itemscope itemtype="http://schema.org/WebPage"><meta itemprop="position" content="4" /><div class="item-info"> <h2 class="title" itemprop="name headline"><a href="/pages/biblio/279139-sub-ital-breaking-scalar-mesons-nambu-jona-lasinio-model" itemprop="url">U{sub {ital A}}(1) breaking and scalar mesons in the Nambu and Jona-Lasinio model</a></h2> <div class="metadata"> <small class="text-muted" style="text-transform:uppercase;display:block;line-height:2.5em;">Journal Article</small><span class="authors"> <span class="author">Dmitrasinovic, V.</span> <span class="text-muted pubdata"> - Physical Review, C</span> </span> </div> <div class="abstract">We examine the role played by the U{sub {ital A}}(1) symmetry-breaking {close_quote}t Hooft interaction in scalar mesons, using the two- and three-flavor versions of the Nambu and Jona-Lasinio model. We first examine the two-flavor case within the Hartree + random phase approximation in order to (a) develop the formalism necessary for the treatment of the three-flavor case, and (b) to see if the scalar sector can be treated as ideally mixed, i.e., if the {ital u},{ital d} quark mesons completely separate themselves from the ones with strange quarks. Then we calculate the scalar and pseudoscalar meson mass spectra in the<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> three-flavor model within the mean-field approximation and establish relations between the scalar and pseudoscalar meson masses. This analysis leads to a new approximate sum rule that is a consequence of U{sub {ital A}}(1) breaking in the Nambu{endash}Jona-Lasinio (NJL) model: {ital m}{sub {eta}}{sup {prime}}{sup 2}+{ital m}{sub {eta}}{sup 2}{minus}2{ital m}{sup 2}{sub {ital K}}{approx_equal} {minus}{ital m}{sub {ital f}{sub 0}}{sup {prime}}{sup 2}{minus}{ital m}{sub {ital f}{sub 0}}{sup 2} +2{ital m}{sub {ital K}{sub 0}{sup {asterisk}}}{sup 2}, where {eta}{prime},{eta},{ital K} are the observed pseudoscalar mesons, {ital K}{sub 0}{sup {asterisk}} is the strange scalar meson at 1430 MeV, and {ital f}{sub 0},{ital f}{sub 0}{sup {prime}} are {open_quote}{open_quote}the eighth and the ninth{close_quote}{close_quote} scalar mesons. It states that the mass splitting between the scalar singlet and the octet is of the same size as, but of opposite sign to, the corresponding splitting among the pseudoscalars. We discuss the large-{ital N}{sub {ital C}} limit of our results. Two of our partial results leading to the sum rule are consistent with the large-{ital N}{sub {ital C}} limit results of QCD, though one of them is not required by QCD. (Abstract Truncated)</span><a href='#' onclick='$(this).hide().prev().hide().prev().show();return false;' style='margin-left:10px;display:none;'>« less</a></div><div class="metadata-links small clearfix text-muted" style="margin-top:15px;"> <div class="pure-menu pure-menu-horizontal pull-right" style="width:unset;"> <ul class="pure-menu-list"> <li class="pure-menu-item"><span class="item-info-ftlink">DOI: <a class="misc doi-link " href="https://doi.org/10.1103/PhysRevC.53.1383" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="279139" data-product-type="Journal Article" data-product-subtype="AC" >10.1103/PhysRevC.53.1383</a></span></li> </ul> </div> </div> </div> <div class="clearfix"></div> </div> </li> </ul> </aside> </div> </section> </div> <div class="col-sm-3 order-sm-3"> <ul class="nav nav-stacked"> <li class="active"><a class="tab-nav disabled" data-tab="related" style="color: #636c72 !important; opacity: 1;"><span class="fa fa-angle-right"></span> Similar Records</a></li> </ul> </div> </div> </section> </div></div> </div> </div> </section> <footer class="" style="background-color:#f9f9f9; /* padding-top: 0.5rem; */"> <div class="footer-minor"> <div class="container"> <hr class="footer-separator" /> <div class="text-center" style="margin-top:1.25rem;"> <div class="pure-menu pure-menu-horizontal"> <ul class="pure-menu-list" id="footer-org-menu"> <li class="pure-menu-item"> <a href="https://energy.gov" target="_blank" rel="noopener noreferrer"> <img src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" class="sprite sprite-footer-us-doe-min" alt="U.S. Department of Energy" /> </a> </li> <li class="pure-menu-item"> <a href="https://www.energy.gov/science/office-science" target="_blank" rel="noopener noreferrer"> <img src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" class="sprite sprite-footer-office-of-science-min" alt="Office of Science" /> </a> </li> <li class="pure-menu-item"> <a href="/"> <img src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" class="sprite sprite-footer-osti-min" alt="Office of Scientific and Technical Information" /> </a> </li> </ul> </div> </div> <div class="text-center small" style="margin-top:0.5em;margin-bottom:2.0rem;"> <div class="pure-menu pure-menu-horizontal"> <ul class="pure-menu-list"> <li class="pure-menu-item"><a href="/disclaim" class="pure-menu-link"><span class="fa fa-institution"></span> Website Policies <span class="hidden-xs">/ Important Links</span></a></li> <li class="pure-menu-item"><a href="/pages/contact" class="pure-menu-link"><span class="fa fa-comments-o"></span> Contact Us</a></li> <li class="d-block d-md-none"></li> <li class="pure-menu-item"><a href="https://www.facebook.com/ostigov" target="_blank" rel="noopener noreferrer" class="pure-menu-link social"><span class="fa fa-facebook" style=""></span></a></li> <li class="pure-menu-item"><a href="https://twitter.com/OSTIgov" target="_blank" rel="noopener noreferrer" class="pure-menu-link social"><span class="fa fa-twitter" style=""></span></a></li> <li class="pure-menu-item"><a href="https://www.youtube.com/user/ostigov" target="_blank" rel="noopener noreferrer" class="pure-menu-link social"><span class="fa fa-youtube-play" style=""></span></a></li> </ul> </div> </div> </div> </div> </footer> <link href="/pages/css/pages.fonts.200113.2012.css" rel="stylesheet"> <script src="/pages/js/pages.200113.2012.js"></script><noscript></noscript> <script defer src="/pages/js/pages.biblio.200113.2012.js"></script><noscript></noscript> <script defer src="/pages/js/lity.js"></script><noscript></noscript><script async type="text/javascript" src="/pages/js/Universal-Federated-Analytics-Min.js?agency=DOE" id="_fed_an_ua_tag"></script><noscript></noscript></body> <!-- DOE PAGES v.200113.2012 --> </html>