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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]
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  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); University 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. doi:10.1103/PhysRevC.99.035206.
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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
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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.
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@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 = {Mon Mar 11 00:00:00 EDT 2019},
month = {Mon Mar 11 00:00:00 EDT 2019}
}
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https://doi.org/10.1103/PhysRevC.99.035206
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font-size:0.75rem;"><br/> <span class="type">journal</span>, <span class="date" data-date="2019-10-01">October 2019</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;"> Aguilar, Arlene C.; Ahmed, Zafir; Aidala, Christine</span> </li> <li> The European Physical Journal A, Vol. 55, Issue 10</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.1140/epja/i2019-12885-0" class="text-muted" target="_blank" rel="noopener noreferrer">10.1140/epja/i2019-12885-0<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/10.48550/arxiv.1907.08218" target="_blank" rel="noopener noreferrer" class="name">Pion and Kaon Structure at the Electron-Ion Collider<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">text</span>, <span class="date" data-date="2019-01-01">January 2019</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;"> Aguilar, Arlene C.; Ahmed, Zafir; Aidala, Christine</span> </li> <li> arXiv</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.48550/arxiv.1907.08218" class="text-muted" target="_blank" rel="noopener noreferrer">10.48550/arxiv.1907.08218<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="sr-only">Previous Page</span><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="sr-only">Next Page</span><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-filter="type" data-pattern="*"><span class="fa fa-angle-right"></span> All Cited By</a></li> <li class="small" style="margin-left:.75em; 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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/2278974-valence-structures-light-strange-mesons-from-basis-light-front-quantization-framework" itemprop="url">Valence structures of light and strange mesons from the basis light-front quantization framework</a></h2> <div class="metadata"> <small class="text-muted" style="text-transform:uppercase;display:block;line-height:2.5em;">Conference</small><span class="authors"> <span class="author">Jia, Shaoyang</span> ; <span class="author">Vary, James P.</span> <span class="text-muted pubdata"> - Hadron Spectroscopy and Structure</span> </span> </div> <div class="abstract">In this work, we apply the basis light-front quantization (BLFQ) framework to solve for the structures of mesons with light and strange valence quarks. Our approach treats mesons as relativistic bound states with quarks confined in both the transverse direction and the light-front longitudinal direction. The spin-orbit interactions of these confined quarks are further specified by the Nambu–Jona-Lasinio model. We address the U(1)A axial anomaly by including the Kobayashi-Maskawa-’t Hooft interaction regularized by our basis. We present the structures of the pion, the kaon, the eta meson, and the eta-prime meson in terms of their valence light-front wave functions obtained<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> from the eigenvalue problem of our light-front Hamiltonian.</span><a href='#' onclick='$(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/10.1142/9789811219313_0110" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="2278974" data-product-type="Conference" data-product-subtype="" >https://doi.org/10.1142/9789811219313_0110</a></span></li> <li class="pure-menu-item"><span class="item-info-ftlink"><a class="misc fulltext-link " href="/servlets/purl/2278974" title="Link to document media" target="_blank" rel="noopener" data-ostiid="2278974" data-product-type="Conference" data-product-subtype="" >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="/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="3" /><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="4" /><div class="item-info"> <h2 class="title" itemprop="name headline"><a href="/pages/biblio/1835636-generalized-parton-distributions-spin-structures-light-mesons-from-light-front-hamiltonian-approach" itemprop="url">Generalized parton distributions and spin structures of light mesons from a light-front Hamiltonian approach</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">Mondal, Chandan</span> ; <span class="author">Nair, Sreeraj</span> ; <span class="author">...</span> <span class="text-muted pubdata"> - Physical Review D</span> </span> </div> <div class="abstract">We present the generalized parton distributions (GPDs) for the valence quarks of the pion and the kaon in both momentum space and position space within the basis light-front quantization framework. These GPDs are obtained from the eigenvectors of a light-front effective Hamiltonian consisting of the holographic quantum chromodynamics (QCD) confinement potential, a complementary longitudinal confinement potential, and the color-singlet Nambu-Jona–Lasinio interactions for the valence quarks of mesons. We then calculate the generalized form factors of the pion and the kaon from the moments of these GPDs. Combining the tensor form factors with the electromagnetic form factors, we subsequently evaluate the<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> impact parameter dependent probability density of transversely polarized quarks inside the pion and the kaon. The numerical results for the generalized form factors, corresponding charges, as well as those for the probability densities and the transverse shift of the polarized densities are consistent with lattice QCD simulations and with chiral quark models.</span><a href='#' onclick='$(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.104.114019" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="1835636" data-product-type="Journal Article" data-product-subtype="PA" >https://doi.org/10.1103/PhysRevD.104.114019</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;"> <div class="footer-minor"> <div class="container"> <hr class="footer-separator"/> <br/> <div class="col text-center mt-3"> <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="https://www.osti.gov" target="_blank" rel="noopener noreferrer"> <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="col text-center small" style="margin-top: 0.5em;margin-bottom:2.0rem;"> <div class="row justify-content-center" style="color:white"> <div class="pure-menu pure-menu-horizontal" style='white-space:normal'> <ul class="pure-menu-list"> <li class="pure-menu-item"><a href="https://www.osti.gov/disclaim" class="pure-menu-link" target="_blank" ref="noopener noreferrer"><span class="fa fa-institution"></span> Website Policies <span class="d-none d-sm-inline d-print-none" style="color:#737373;">/ Important Links</span></a></li> <li class="pure-menu-item" style='float:none;'><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 mb-1"></li> <li class="pure-menu-item" style='float:none;'><a target="_blank" title="Vulnerability Disclosure Program" class="pure-menu-link" href="https://doe.responsibledisclosure.com/hc/en-us" rel="noopener noreferrer">Vulnerability Disclosure Program</a></li> <li class="d-block d-lg-none mb-1"></li> <li class="pure-menu-item" style="float:none;"><a href="https://www.facebook.com/ostigov" target="_blank" class="pure-menu-link social ext fa fa-facebook" rel="noopener noreferrer"><span class="sr-only" style="background-color: #fff; color: #333;">Facebook</span></a></li> <li class="pure-menu-item" style="float:none;"><a href="https://twitter.com/OSTIgov" target="_blank" class="pure-menu-link social ext fa fa-twitter" rel="noopener noreferrer"><span class="sr-only" style="background-color: #fff; color: #333;">Twitter</span></a></li> <li class="pure-menu-item" style="float:none;"><a href="https://www.youtube.com/user/ostigov" target="_blank" class="pure-menu-link social ext fa fa-youtube-play" rel="noopener noreferrer"><span class="sr-only" style="background-color: #fff; color: #333;">Youtube</span></a></li> </ul> </div> </div> </div> </div> </div> </footer> <link href="/pages/css/pages.fonts.240327.0205.css" rel="stylesheet"> <script src="/pages/js/pages.240327.0205.js"></script><noscript></noscript> <script defer src="/pages/js/pages.biblio.240327.0205.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.240327.0205 --> </html>