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Title: Hadron Spectra, Decays and Scattering Properties Within Basis Light Front Quantization

Abstract

Not provided.

Authors:
; ; ; ORCiD logo; ; ; ; ; ; ; ; ;
Publication Date:
Research Org.:
College of William and Mary, Williamsburg, VA (United States); Iowa State Univ., Ames, IA (United States); Univ. of California, Oakland, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1537695
DOE Contract Number:  
FG02-04ER41302; FG02-87ER40371; AC02-05CH11231
Resource Type:
Journal Article
Journal Name:
Few-Body Systems
Additional Journal Information:
Journal Volume: 59; Journal Issue: 4; Journal ID: ISSN 0177-7963
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
Physics

Citation Formats

Vary, James P., Adhikari, Lekha, Chen, Guangyao, Jia, Shaoyang, Li, Meijian, Li, Yang, Maris, Pieter, Qian, Wenyang, Spence, John R., Tang, Shuo, Tuchin, Kirill, Yu, Anji, and Zhao, Xingbo. Hadron Spectra, Decays and Scattering Properties Within Basis Light Front Quantization. United States: N. p., 2018. Web. doi:10.1007/s00601-018-1356-0.
Vary, James P., Adhikari, Lekha, Chen, Guangyao, Jia, Shaoyang, Li, Meijian, Li, Yang, Maris, Pieter, Qian, Wenyang, Spence, John R., Tang, Shuo, Tuchin, Kirill, Yu, Anji, & Zhao, Xingbo. Hadron Spectra, Decays and Scattering Properties Within Basis Light Front Quantization. United States. doi:10.1007/s00601-018-1356-0.
Vary, James P., Adhikari, Lekha, Chen, Guangyao, Jia, Shaoyang, Li, Meijian, Li, Yang, Maris, Pieter, Qian, Wenyang, Spence, John R., Tang, Shuo, Tuchin, Kirill, Yu, Anji, and Zhao, Xingbo. Sat . "Hadron Spectra, Decays and Scattering Properties Within Basis Light Front Quantization". United States. doi:10.1007/s00601-018-1356-0.
@article{osti_1537695,
title = {Hadron Spectra, Decays and Scattering Properties Within Basis Light Front Quantization},
author = {Vary, James P. and Adhikari, Lekha and Chen, Guangyao and Jia, Shaoyang and Li, Meijian and Li, Yang and Maris, Pieter and Qian, Wenyang and Spence, John R. and Tang, Shuo and Tuchin, Kirill and Yu, Anji and Zhao, Xingbo},
abstractNote = {Not provided.},
doi = {10.1007/s00601-018-1356-0},
journal = {Few-Body Systems},
issn = {0177-7963},
number = 4,
volume = 59,
place = {United States},
year = {2018},
month = {4}
}

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P.</span> </li> <li> Physical Review D, Vol. 37, Issue 10</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.1103/PhysRevD.37.3010" class="text-muted" target="_blank" rel="noopener noreferrer">10.1103/PhysRevD.37.3010<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/10.1016/j.physletb.2003.12.049" target="_blank" rel="noopener noreferrer" class="name">Kinks in discrete light cone quantization<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="2004-03-01">March 2004</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:#7cb342;"> Chakrabarti, Dipankar; Harindranath, A.; Martinovič, L'ubomir</span> </li> <li> Physics Letters B, Vol. 582, Issue 3-4</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.1016/j.physletb.2003.12.049" class="text-muted" target="_blank" rel="noopener noreferrer">10.1016/j.physletb.2003.12.049<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/10.1016/j.physletb.2005.05.012" target="_blank" rel="noopener noreferrer" class="name">Ab initio results for the broken phase of scalar light front field theory<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="2005-06-01">June 2005</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:#7cb342;"> Chakrabarti, Dipankar; Harindranath, A.; Martinovič, L'ubomir</span> </li> <li> Physics Letters B, Vol. 617, Issue 1-2</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.1016/j.physletb.2005.05.012" class="text-muted" target="_blank" rel="noopener noreferrer">10.1016/j.physletb.2005.05.012<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.71.125012" target="_blank" rel="noopener noreferrer" class="name">Transition in the spectrum of the topological sector of <math display="inline"> <msubsup> <mi>ϕ</mi> <mn>2</mn> <mn>4</mn> </msubsup> </math> theory at strong coupling<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="2005-06-01">June 2005</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:#7cb342;"> Chakrabarti, Dipankar; Harindranath, A.; Vary, J. P.</span> </li> <li> Physical Review D, Vol. 71, Issue 12</li> <li> <span class="text-muted related-url">DOI: <a href="https://doi.org/10.1103/PhysRevD.71.125012" class="text-muted" target="_blank" rel="noopener noreferrer">10.1103/PhysRevD.71.125012<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; text-transform:capitalize;"><a href="" class="reference-type-filter tab-nav" data-tab="biblio-references" data-filter="type" data-pattern="journal"><span class="fa fa-angle-right"></span> journal<small class="text-muted"> (52)</small></a></li> </ul> <div style="margin-top:2em;"> <form class="pure-form small text-muted reference-search"> <label for="reference-search-text" class="sr-only">Search</label> <input class="search form-control pure-input-1" id="reference-search-text" placeholder="Search" style="margin-bottom:10px;" /> <fieldset> <div style="margin-left:1em; font-weight:normal; line-height: 1.6em;"><input type="radio" class="sort" name="references-sort" data-sort="name" style="position:relative;top:2px;" id="reference-search-sort-name"><label for="reference-search-sort-name" style="margin-left: .3em;">Sort by title</label></div> <div style="margin-left:1em; font-weight:normal; line-height: 1.6em;"><input type="radio" class="sort" name="references-sort" data-sort="date" data-order="desc" style="position:relative;top:2px;" id="reference-search-sort-date"><label for="reference-search-sort-date" style="margin-left: .3em;">Sort by date</label></div> </fieldset> <div class="text-left" style="margin-left:1em;"> <a href="" class="filter-clear clearfix" title="Clear filter / sort" style="font-weight:normal; 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="/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="/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="/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="/biblio/1565419-basis-light-front-quantization-recent-progress-future-prospects" itemprop="url">Basis Light-Front Quantization: Recent Progress and Future Prospects</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">Vary, James P.</span> ; <span class="author">Adhikari, Lekha</span> ; <span class="author">Chen, Guangyao</span> ; <span class="author">...</span> <span class="text-muted pubdata"> - Few-Body Systems</span> </span> </div> <div class="abstract">Light-front Hamiltonian field theory has advanced to the stage of becoming a viable non-perturbative method for solving forefront problems in strong interaction physics. Physics drivers include hadron mass spectroscopy, generalized parton distribution functions, spin structures of the hadrons, inelastic structure functions, hadronization, particle production by strong external time-dependent fields in relativistic heavy ion collisions, and many more. We review selected recent results and future prospects with basis light-front quantization that include fermion-antifermion bound states in QCD, fermion motion in a strong time-dependent external field and a novel non-perturbative renormalization scheme.</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/10.1007/s00601-016-1117-x" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="1565419" data-product-type="Journal Article" data-product-subtype="AC" >10.1007/s00601-016-1117-x</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/1402251-comparison-two-minkowski-space-approaches-heavy-quarkonia" itemprop="url">Comparison of two Minkowski-space approaches to heavy quarkonia</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">Leitão, Sofia</span> ; <span class="author">Li, Yang</span> ; <span class="author">Maris, Pieter</span> ; <span class="author">...</span> <span class="text-muted pubdata"> - European Physical Journal. C, Particles and Fields</span> </span> </div> <div class="abstract">In this work we compare mass spectra and decay constants obtained from two recent, independent, and fully relativistic approaches to the quarkonium bound-state problem: the Basis Light-Front Quantization approach, where light-front wave functions are naturally formulated; and, the Covariant Spectator Theory (CST), based on a reorganization of the Bethe–Salpeter equation. Even though conceptually different, both solutions are obtained in Minkowski space. Comparisons of decay constants for more than ten states of charmonium and bottomonium show favorable agreement between the two approaches as well as with experiment where available. We also apply the Brodsky–Huang–Lepage prescription to convert the CST amplitudes into<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> functions of light-front variables. This provides an ideal opportunity to investigate the similarities and differences at the level of the wave functions. Several qualitative features are observed in remarkable agreement between the two approaches even for the rarely addressed excited states. Leading-twist distribution amplitudes as well as parton distribution functions of heavy quarkonia are also analyzed.</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/10.1140/epjc/s10052-017-5248-0" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="1402251" data-product-type="Journal Article" data-product-subtype="PA" >10.1140/epjc/s10052-017-5248-0</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/1510279-comparison-two-minkowski-space-approaches-heavy-quarkonia" itemprop="url">Comparison of two Minkowski-space approaches to heavy quarkonia</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">Leitão, Sofia</span> ; <span class="author">Li, Yang</span> ; <span class="author">Maris, Pieter</span> ; <span class="author">...</span> <span class="text-muted pubdata"> - European Physical Journal. C, Particles and Fields</span> </span> </div> <div class="abstract">In this work we compare mass spectra and decay constants obtained from two recent, independent, and fully relativistic approaches to the quarkonium bound-state problem: the Basis Light-Front Quantization approach, where light-front wave functions are naturally formulated; and, the Covariant Spectator Theory (CST), based on a reorganization of the Bethe–Salpeter equation. Even though conceptually different, both solutions are obtained in Minkowski space. Comparisons of decay constants for more than ten states of charmonium and bottomonium show favorable agreement between the two approaches as well as with experiment where available. We also apply the Brodsky–Huang–Lepage prescription to convert the CST amplitudes into<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> functions of light-front variables. This provides an ideal opportunity to investigate the similarities and differences at the level of the wave functions. Several qualitative features are observed in remarkable agreement between the two approaches even for the rarely addressed excited states. Leading-twist distribution amplitudes as well as parton distribution functions of heavy quarkonia are also analyzed.</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/10.1140/epjc/s10052-017-5248-0" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="1510279" data-product-type="Journal Article" data-product-subtype="AM" >10.1140/epjc/s10052-017-5248-0</a></span></li> <li class="pure-menu-item"><span class="item-info-ftlink"><a class="misc fulltext-link " href="/servlets/purl/1510279" title="Link to document media" target="_blank" rel="noopener" data-ostiid="1510279" 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> </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 d-block d-inline-small"> <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 d-block d-inline-small"> <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 d-block d-inline-small"> <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="d-none d-sm-inline" style="color:#737373;">/ Important Links</span></a></li> <li class="pure-menu-item"><a href="/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"><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="/css/ostigov.fonts.191107.1502.css" rel="stylesheet"> <script src="/js/ostigov.191107.1502.js"></script><noscript></noscript> <script defer src="/js/ostigov.biblio.191107.1502.js"></script><noscript></noscript> <script defer src="/js/lity.js"></script><noscript></noscript> <script async type="text/javascript" src="/js/Universal-Federated-Analytics-Min.js?agency=DOE" id="_fed_an_ua_tag"></script><noscript></noscript> </body> <!-- OSTI.GOV v.191107.1502 --> </html>