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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); Univ. of Tennessee, Knoxville, TN (United States); Univ. of North Carolina, Chapel Hill, NC (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
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 field theory; meson structure; Hamiltonian; Nambu-jona-Lasinio; BLFQ

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. https://doi.org/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. https://doi.org/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. https://doi.org/10.1103/PhysRevC.99.035206. https://www.osti.gov/servlets/purl/1498739.
@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}
}

Journal Article:

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Cited by: 7 works
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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. 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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 DOE PAGES and 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="/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"><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" >https://doi.org/10.1103/PhysRevC.53.1383</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="/biblio/388468-heavy-quark-solitons-nambu-endash-jona-lasinio-model" itemprop="url">Heavy quark solitons in the Nambu{endash}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">Gamberg, L</span> ; <span class="author">Weigel, H</span> ; <span class="author">Zueckert, U</span> ; <span class="author">...</span> <span class="text-muted pubdata"> - Physical Review, D</span> </span> </div> <div class="abstract">The Nambu{endash}Jona-Lasinio (NJL) model is extended to incorporate heavy quark spin symmetry. In this model baryons containing one heavy quark are analyzed as bound states of light baryons, represented as chiral solitons, and mesons containing one heavy quark. From related studies in Skyrme-type models, the ground-state heavy baryon is known to arise for the heavy meson in a {ital P}-wave configuration. In the limit of an infinitely large quark mass the heavy meson wave function is sharply peaked at the center of the chiral soliton. Therefore, the bound state equation reduces to an eigenvalue problem for the coefficients of the<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> operators contained in the most general {ital P}-wave ansatz for the heavy meson. Within the NJL model a novel feature arises from the coupling of the heavy meson to the various light quark states. In this respect conceptual differences to Skyrme-model calculations are discovered: The strongest bound state is given by a heavy meson configuration, which is completely decoupled from the grand spin zero channel of the light quarks. {copyright} {ital 1996 The American Physical Society.}</span><a href='#' onclick='$(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"><a class="misc doi-link " href="https://doi.org/10.1103/PhysRevD.54.5812" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="388468" data-product-type="Journal Article" data-product-subtype="AC" >https://doi.org/10.1103/PhysRevD.54.5812</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="/biblio/21499307-radiative-decays-radially-excited-mesons-pi-sup-rho-sup-omega-sup-nambu-jona-lasinio-model" itemprop="url">Radiative decays of radially excited mesons {pi}{sup 0'}, {rho}{sup 0'}, and {omega}{sup '} in the Nambu-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">Kuraev, E A</span> ; <span class="author">Volkov, M K</span> ; <span class="author">Arbuzov, A B</span> ; <span class="author">...</span> <span class="text-muted pubdata"> - Physical Review. C, Nuclear Physics</span> </span> </div> <div class="abstract">Radiative decays {pi}{sup 0}({pi}{sup 0'}){yields}{gamma}+{gamma}, {pi}{sup 0'{yields}{rho}0}({omega})+{gamma}, {rho}{sup 0'}({omega}{sup '}){yields}{pi}{sup 0}+{gamma}, and {rho}{sup 0'}({omega}{sup '}){yields}{pi}{sup 0'}+{gamma} are considered in the framework of the SU(2)xSU(2) Nambu-Jona-Lasinio (NJL) model. Radially excited mesons are described with the help of a simple polynomial form factor. In spite of mixing of the ground and excited meson states in this model, the decay widths of {pi}{sup 0{yields}{gamma}}+{gamma} and {rho}{sup 0}({omega}){yields}{pi}{sup 0}+{gamma} are found to be in good agreement with experimental data, as in the standard NJL model. Our predictions for decay widths of radially excited mesons can be verified in future experiments.</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"><a class="misc doi-link " href="https://doi.org/10.1103/PHYSREVC.82.068201" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="21499307" data-product-type="Journal Article" data-product-subtype="" >https://doi.org/10.1103/PHYSREVC.82.068201</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="/biblio/21020183-mesonic-correlation-functions-finite-temperature-density-nambu-jona-lasinio-model-polyakov-loop" itemprop="url">Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop</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">Hansen, H</span> ; <span class="author">Alberico, W M</span> ; <span class="author">Molinari, A</span> ; <span class="author">...</span> <span class="text-muted pubdata"> - Physical Review. D, Particles Fields</span> </span> </div> <div class="abstract">We investigate the properties of scalar and pseudoscalar mesons at finite temperature and quark chemical potential in the framework of the Nambu-Jona-Lasinio (NJL) model coupled to the Polyakov loop (PNJL model) with the aim of taking into account features of both chiral symmetry breaking and deconfinement. The mesonic correlators are obtained by solving the Schwinger-Dyson equation in the RPA approximation with the Hartree (mean field) quark propagator at finite temperature and density. In the phase of broken chiral symmetry, a narrower width for the {sigma} meson is obtained with respect to the NJL case; on the other hand, the pion<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> still behaves as a Goldstone boson. When chiral symmetry is restored, the pion and {sigma} spectral functions tend to merge. The Mott temperature for the pion is also computed.</span><a href='#' onclick='$(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"><a class="misc doi-link " href="https://doi.org/10.1103/PHYSREVD.75.065004" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="21020183" data-product-type="Journal Article" data-product-subtype="" >https://doi.org/10.1103/PHYSREVD.75.065004</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="/biblio/550619-singlet-octet-mixing-scalar-mesons-generalized-nambu-endash-jona-lasinio-model" itemprop="url">Singlet-octet mixing of scalar mesons in a generalized Nambu{endash}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">Celenza, L S</span> ; <span class="author">Li, X</span> ; <span class="author">Shakin, C M</span> <span class="text-muted pubdata"> - Physical Review, C</span> </span> </div> <div class="abstract">We study the nonstrange scalar-isoscalar states of a generalized Nambu{endash}Jona-Lasinio model that includes the {close_quote}t Hooft interaction and a model of confinement. We also include coupling of the q{bar q} states to the two-pion continuum in our analysis. (Our study is limited to energies q{sup 2}{le}1.8GeV{sup 2}, since to go beyond q{sup 2}=2.0GeV{sup 2} we need to change our method of calculation.) After introducing octet-singlet mixing we find two states, {sigma}{sub 1} and {sigma}{sub 2}, at energies of 1.00 and 1.28 GeV, respectively. The first of these is predominantly a SU(3) singlet, while the second state is rather strongly mixed.<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> Of particular interest for nuclear physics is the behavior of the quark-quark T matrix for small spacelike values of q{sup 2}. Because of a strong q{sup 2} dependence of the T matrix at the opening of the two-pion continuum at q{sup 2}=4m{sub {pi}}{sup 2}, the {ital effective} mass that parametrizes scalar-isoscalar exchange in the T matrix is about 520 MeV. Thus, in a model of the nucleon-nucleon interaction, whose ingredients are a T matrix for the interaction of off-mass-shell quarks and valence-quark nucleon form factors, we can provide a basis for the use of a low-mass {ital effective} {sigma} meson in nuclear physics. {copyright} {ital 1997} {ital The American Physical Society}</span><a href='#' onclick='$(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"><a class="misc doi-link " href="https://doi.org/10.1103/PhysRevC.56.3326" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="550619" data-product-type="Journal Article" data-product-subtype="AC" >https://doi.org/10.1103/PhysRevC.56.3326</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.210604.1157.css" rel="stylesheet"> <script src="/pages/js/pages.210604.1157.js"></script><noscript></noscript> <script defer src="/pages/js/pages.biblio.210604.1157.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.210604.1157 --> </html>