来自 QCD 瞬子真空的核子和单重重子

IF 5.3 2区 物理与天体物理 Q1 Physics and Astronomy
Yongwoo Choi, Hyun-Chul Kim
{"title":"来自 QCD 瞬子真空的核子和单重重子","authors":"Yongwoo Choi, Hyun-Chul Kim","doi":"10.1103/physrevd.111.074023","DOIUrl":null,"url":null,"abstract":"We construct an effective chiral theory for the nucleon, based on the low-energy effect quantum chromodynamics (QCD) partition function from the QCD instanton vacuum. We fully consider the momentum-dependent dynamical quark mass whose value at the zero virtuality of the quark is determined by the gap equation from the instanton vacuum, M</a:mi>0</a:mn></a:msub>=</a:mo>359</a:mn></a:mtext></a:mtext>MeV</a:mi></a:math>. The nucleon emerges as a state of <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:msub><c:mi>N</c:mi><c:mi>c</c:mi></c:msub></c:math> valence quarks bound by the pion mean field, which was created self-consistently by the <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:msub><e:mi>N</e:mi><e:mi>c</e:mi></e:msub></e:math> valence quarks. In the large Euclidean time, the classical nucleon mass is evaluated by minimizing the sum of the <g:math xmlns:g=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><g:msub><g:mi>N</g:mi><g:mi>c</g:mi></g:msub></g:math> discrete-level energies and the Dirac-continuum energy: <i:math xmlns:i=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><i:msub><i:mi>M</i:mi><i:mi>cl</i:mi></i:msub><i:mo>=</i:mo><i:mn>1.2680</i:mn><i:mtext> </i:mtext><i:mtext> </i:mtext><i:mi>GeV</i:mi></i:math>. The pion mean-field solution turns out broader than the local chiral quark-soliton model. The zero-mode quantization furnishes the nucleon with proper quantum numbers such as the spin and isospin. We compute the moment of inertia <k:math xmlns:k=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><k:mi>I</k:mi><k:mo>=</k:mo><k:mn>1.3853</k:mn><k:mtext> </k:mtext><k:mtext> </k:mtext><k:mi>fm</k:mi></k:math> by using the self-consistent mean-field solution, which yields the <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><m:mi mathvariant=\"normal\">Δ</m:mi><m:mo>−</m:mo><m:mi>N</m:mi></m:math> mass splitting <p:math xmlns:p=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><p:msub><p:mi>M</p:mi><p:mrow><p:mi mathvariant=\"normal\">Δ</p:mi><p:mo>−</p:mo><p:mi>N</p:mi></p:mrow></p:msub><p:mo>=</p:mo><p:mn>213.67</p:mn><p:mtext> </p:mtext><p:mtext> </p:mtext><p:mi>MeV</p:mi></p:math>. In the same manner, singly heavy baryons can be described as a bound state of the <s:math xmlns:s=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><s:msub><s:mi>N</s:mi><s:mi>c</s:mi></s:msub><s:mo>−</s:mo><s:mn>1</s:mn></s:math> valence quarks with the corresponding pion mean field, with the heavy quark regarded as a static color source. The mass splitting of the singly heavy baryons is obtained to be <u:math xmlns:u=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><u:msub><u:mi>M</u:mi><u:mrow><u:msub><u:mi mathvariant=\"normal\">Σ</u:mi><u:mi>Q</u:mi></u:msub><u:mo>−</u:mo><u:msub><u:mi mathvariant=\"normal\">Λ</u:mi><u:mi>Q</u:mi></u:msub></u:mrow></u:msub><u:mo>=</u:mo><u:mn>206.20</u:mn><u:mtext> </u:mtext><u:mtext> </u:mtext><u:mi>MeV</u:mi></u:math>, which are in good agreement with the experimental data. The effective chiral theory developed in the present work will provide a solid theoretical framework to investigate gluonic observables of both the light and singly heavy baryons. <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":"23 1","pages":""},"PeriodicalIF":5.3000,"publicationDate":"2025-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Nucleon and singly heavy baryons from the QCD instanton vacuum\",\"authors\":\"Yongwoo Choi, Hyun-Chul Kim\",\"doi\":\"10.1103/physrevd.111.074023\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We construct an effective chiral theory for the nucleon, based on the low-energy effect quantum chromodynamics (QCD) partition function from the QCD instanton vacuum. We fully consider the momentum-dependent dynamical quark mass whose value at the zero virtuality of the quark is determined by the gap equation from the instanton vacuum, M</a:mi>0</a:mn></a:msub>=</a:mo>359</a:mn></a:mtext></a:mtext>MeV</a:mi></a:math>. The nucleon emerges as a state of <c:math xmlns:c=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><c:msub><c:mi>N</c:mi><c:mi>c</c:mi></c:msub></c:math> valence quarks bound by the pion mean field, which was created self-consistently by the <e:math xmlns:e=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><e:msub><e:mi>N</e:mi><e:mi>c</e:mi></e:msub></e:math> valence quarks. In the large Euclidean time, the classical nucleon mass is evaluated by minimizing the sum of the <g:math xmlns:g=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><g:msub><g:mi>N</g:mi><g:mi>c</g:mi></g:msub></g:math> discrete-level energies and the Dirac-continuum energy: <i:math xmlns:i=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><i:msub><i:mi>M</i:mi><i:mi>cl</i:mi></i:msub><i:mo>=</i:mo><i:mn>1.2680</i:mn><i:mtext> </i:mtext><i:mtext> </i:mtext><i:mi>GeV</i:mi></i:math>. The pion mean-field solution turns out broader than the local chiral quark-soliton model. The zero-mode quantization furnishes the nucleon with proper quantum numbers such as the spin and isospin. We compute the moment of inertia <k:math xmlns:k=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><k:mi>I</k:mi><k:mo>=</k:mo><k:mn>1.3853</k:mn><k:mtext> </k:mtext><k:mtext> </k:mtext><k:mi>fm</k:mi></k:math> by using the self-consistent mean-field solution, which yields the <m:math xmlns:m=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><m:mi mathvariant=\\\"normal\\\">Δ</m:mi><m:mo>−</m:mo><m:mi>N</m:mi></m:math> mass splitting <p:math xmlns:p=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><p:msub><p:mi>M</p:mi><p:mrow><p:mi mathvariant=\\\"normal\\\">Δ</p:mi><p:mo>−</p:mo><p:mi>N</p:mi></p:mrow></p:msub><p:mo>=</p:mo><p:mn>213.67</p:mn><p:mtext> </p:mtext><p:mtext> </p:mtext><p:mi>MeV</p:mi></p:math>. In the same manner, singly heavy baryons can be described as a bound state of the <s:math xmlns:s=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><s:msub><s:mi>N</s:mi><s:mi>c</s:mi></s:msub><s:mo>−</s:mo><s:mn>1</s:mn></s:math> valence quarks with the corresponding pion mean field, with the heavy quark regarded as a static color source. The mass splitting of the singly heavy baryons is obtained to be <u:math xmlns:u=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><u:msub><u:mi>M</u:mi><u:mrow><u:msub><u:mi mathvariant=\\\"normal\\\">Σ</u:mi><u:mi>Q</u:mi></u:msub><u:mo>−</u:mo><u:msub><u:mi mathvariant=\\\"normal\\\">Λ</u:mi><u:mi>Q</u:mi></u:msub></u:mrow></u:msub><u:mo>=</u:mo><u:mn>206.20</u:mn><u:mtext> </u:mtext><u:mtext> </u:mtext><u:mi>MeV</u:mi></u:math>, which are in good agreement with the experimental data. The effective chiral theory developed in the present work will provide a solid theoretical framework to investigate gluonic observables of both the light and singly heavy baryons. <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\":\"23 1\",\"pages\":\"\"},\"PeriodicalIF\":5.3000,\"publicationDate\":\"2025-04-18\",\"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.111.074023\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.111.074023","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

摘要

基于量子色动力学(QCD)配分函数,构建了一个有效的核子手性理论。我们充分考虑动量依赖的动态夸克质量,夸克在零虚态处的值由瞬子真空的间隙方程决定,M0=359MeV。核子以Nc价夸克被介子平均场束缚的状态出现,介子平均场是由Nc价夸克自洽地产生的。在大欧几里得时间内,通过最小化Nc离散能级能量和狄拉克连续能级能量的总和来计算经典核子质量:Mcl=1.2680 GeV。π介子平均场解比局部手性夸克-孤子模型更广。零模量子化为核子提供了适当的自旋和同位旋等量子数。我们用自一致的平均场解计算惯性矩I=1.3853 fm,得到Δ−N质量分裂MΔ−N=213.67 MeV。以同样的方式,单重重子可以被描述为具有相应介子平均场的Nc−1价夸克的束缚态,将重夸克视为静态色源。得到单重重子的质量分裂为MΣQ−ΛQ=206.20 MeV,与实验数据吻合较好。本研究建立的有效手性理论将为研究轻重子和单重重子的胶子观测提供一个坚实的理论框架。2025年由美国物理学会出版
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Nucleon and singly heavy baryons from the QCD instanton vacuum
We construct an effective chiral theory for the nucleon, based on the low-energy effect quantum chromodynamics (QCD) partition function from the QCD instanton vacuum. We fully consider the momentum-dependent dynamical quark mass whose value at the zero virtuality of the quark is determined by the gap equation from the instanton vacuum, M0=359MeV. The nucleon emerges as a state of Nc valence quarks bound by the pion mean field, which was created self-consistently by the Nc valence quarks. In the large Euclidean time, the classical nucleon mass is evaluated by minimizing the sum of the Nc discrete-level energies and the Dirac-continuum energy: Mcl=1.2680 GeV. The pion mean-field solution turns out broader than the local chiral quark-soliton model. The zero-mode quantization furnishes the nucleon with proper quantum numbers such as the spin and isospin. We compute the moment of inertia I=1.3853 fm by using the self-consistent mean-field solution, which yields the ΔN mass splitting MΔN=213.67 MeV. In the same manner, singly heavy baryons can be described as a bound state of the Nc1 valence quarks with the corresponding pion mean field, with the heavy quark regarded as a static color source. The mass splitting of the singly heavy baryons is obtained to be MΣQΛQ=206.20 MeV, which are in good agreement with the experimental data. The effective chiral theory developed in the present work will provide a solid theoretical framework to investigate gluonic observables of both the light and singly heavy baryons. Published by the American Physical Society 2025
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Physical Review D
Physical Review D 物理-天文与天体物理
CiteScore
9.20
自引率
36.00%
发文量
0
审稿时长
2 months
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.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信