Joshua Hoffer, Gernot Eichmann, Christian S. Fischer
{"title":"Structure of open-flavor four-quark states in the charm and bottom region","authors":"Joshua Hoffer, Gernot Eichmann, Christian S. Fischer","doi":"10.1103/physrevd.111.054028","DOIUrl":null,"url":null,"abstract":"We present quantitative results for masses and the internal structure of four-quark states with two heavy quarks, i.e., Q</a:mi>Q</a:mi>′</a:mo></a:msup>q</a:mi>¯</a:mo></a:mover>q</a:mi>¯</a:mo></a:mover>′</a:mo></a:msup></a:mrow></a:math> with <g:math xmlns:g=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><g:mi>Q</g:mi><g:mo>,</g:mo><g:msup><g:mi>Q</g:mi><g:mo>′</g:mo></g:msup><g:mo>∈</g:mo><g:mo stretchy=\"false\">{</g:mo><g:mi>c</g:mi><g:mo>,</g:mo><g:mi>b</g:mi><g:mo stretchy=\"false\">}</g:mo></g:math> and <k:math xmlns:k=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><k:mi>q</k:mi><k:mo>,</k:mo><k:msup><k:mi>q</k:mi><k:mo>′</k:mo></k:msup><k:mo>∈</k:mo><k:mo stretchy=\"false\">{</k:mo><k:mi>u</k:mi><k:mo>,</k:mo><k:mi>d</k:mi><k:mo>,</k:mo><k:mi>s</k:mi><k:mo stretchy=\"false\">}</k:mo></k:math>, and <o:math xmlns:o=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><o:msup><o:mi>J</o:mi><o:mi>P</o:mi></o:msup><o:mo>∈</o:mo><o:msup><o:mn>1</o:mn><o:mo>+</o:mo></o:msup></o:math>. The composition of these states in terms of meson-meson and diquark-antidiquark pairs, extracted from a relativistic four-body Faddeev-Yakubowski equation, is dynamically determined from underlying QCD forces. We find states at energy levels in very good agreement with lattice QCD and, where available, with experimental states. Their internal structure, most notably between the <q:math xmlns:q=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><q:msubsup><q:mi>T</q:mi><q:mrow><q:mi>c</q:mi><q:mi>c</q:mi></q:mrow><q:mo>+</q:mo></q:msubsup></q:math>, <s:math xmlns:s=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><s:msub><s:mi>T</s:mi><s:mrow><s:mi>b</s:mi><s:mi>c</s:mi></s:mrow></s:msub></s:math> and <u:math xmlns:u=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><u:msubsup><u:mi>T</u:mi><u:mrow><u:mi>b</u:mi><u:mi>b</u:mi></u:mrow><u:mo>−</u:mo></u:msubsup></u:math>, show significant and sizeable variations. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"25 1","pages":""},"PeriodicalIF":5.3000,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.111.054028","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0
Abstract
We present quantitative results for masses and the internal structure of four-quark states with two heavy quarks, i.e., QQ′q¯q¯′ with Q,Q′∈{c,b} and q,q′∈{u,d,s}, and JP∈1+. The composition of these states in terms of meson-meson and diquark-antidiquark pairs, extracted from a relativistic four-body Faddeev-Yakubowski equation, is dynamically determined from underlying QCD forces. We find states at energy levels in very good agreement with lattice QCD and, where available, with experimental states. Their internal structure, most notably between the Tcc+, Tbc and Tbb−, show significant and sizeable variations. Published by the American Physical Society2025
期刊介绍:
Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics.
PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including:
Particle physics experiments,
Electroweak interactions,
Strong interactions,
Lattice field theories, lattice QCD,
Beyond the standard model physics,
Phenomenological aspects of field theory, general methods,
Gravity, cosmology, cosmic rays,
Astrophysics and astroparticle physics,
General relativity,
Formal aspects of field theory, field theory in curved space,
String theory, quantum gravity, gauge/gravity duality.