{"title":"用相对论通量管模型研究底介子和双底重子的统一光谱","authors":"Pooja Jakhad, Ajay Kumar Rai","doi":"10.1103/m2xt-pkxm","DOIUrl":null,"url":null,"abstract":"Using the relativistic flux tube model with spin-dependent corrections, we present a unified investigation of the mass spectra for singly bottom mesons (B</a:mi></a:mrow></a:math>, <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:msub><c:mi>B</c:mi><c:mi>s</c:mi></c:msub></c:math>) and doubly bottom baryons (<e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:msub><e:mi mathvariant=\"normal\">Ξ</e:mi><e:mrow><e:mi>b</e:mi><e:mi>b</e:mi></e:mrow></e:msub></e:math>, <h:math xmlns:h=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><h:msub><h:mi mathvariant=\"normal\">Ω</h:mi><h:mrow><h:mi>b</h:mi><h:mi>b</h:mi></h:mrow></h:msub></h:math>). Within this framework, the calculated masses for established <k:math xmlns:k=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><k:mi>B</k:mi></k:math> and <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><m:msub><m:mi>B</m:mi><m:mi>s</m:mi></m:msub></m:math> meson states show excellent agreement with experimental data. Leveraging these reliable predictions for low-lying states, we propose spectroscopic assignments for several higher excitations: we identify the <o:math xmlns:o=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><o:msubsup><o:mi>B</o:mi><o:mi>J</o:mi><o:mo>*</o:mo></o:msubsup><o:mo stretchy=\"false\">(</o:mo><o:mn>5732</o:mn><o:mo stretchy=\"false\">)</o:mo></o:math> resonance as an excellent candidate for the <s:math xmlns:s=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><s:mn>1</s:mn><s:mi>P</s:mi><s:mo stretchy=\"false\">(</s:mo><s:msup><s:mn>1</s:mn><s:mo>+</s:mo></s:msup><s:mo stretchy=\"false\">)</s:mo></s:math> state; further, we assign the <w:math xmlns:w=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><w:msub><w:mi>B</w:mi><w:mi>J</w:mi></w:msub><w:mo stretchy=\"false\">(</w:mo><w:mn>5840</w:mn><w:mo stretchy=\"false\">)</w:mo></w:math> resonance as the first radial excitation (2</ab:mn>S</ab:mi></ab:math>), and the <cb:math xmlns:cb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><cb:msub><cb:mi>B</cb:mi><cb:mi>J</cb:mi></cb:msub><cb:mo stretchy=\"false\">(</cb:mo><cb:mn>5970</cb:mn><cb:mo stretchy=\"false\">)</cb:mo></cb:math> resonance as a <gb:math xmlns:gb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><gb:mn>1</gb:mn><gb:mi>D</gb:mi></gb:math>-wave orbital excitation. In the bottom-strange sector, we predict that the recently observed <ib:math xmlns:ib=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><ib:msub><ib:mi>B</ib:mi><ib:mrow><ib:mi>s</ib:mi><ib:mi>J</ib:mi></ib:mrow></ib:msub><ib:mo stretchy=\"false\">(</ib:mo><ib:mn>6063</ib:mn><ib:mo stretchy=\"false\">)</ib:mo></ib:math> and <mb:math xmlns:mb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mb:msub><mb:mi>B</mb:mi><mb:mrow><mb:mi>s</mb:mi><mb:mi>J</mb:mi></mb:mrow></mb:msub><mb:mo stretchy=\"false\">(</mb:mo><mb:mn>6114</mb:mn><mb:mo stretchy=\"false\">)</mb:mo></mb:math> resonances belong to the <qb:math xmlns:qb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><qb:mn>1</qb:mn><qb:mi>D</qb:mi></qb:math>-wave multiplet. Extending our model to doubly bottom baryons, we present comprehensive predictions for the spectra of the <sb:math xmlns:sb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><sb:msub><sb:mi mathvariant=\"normal\">Ξ</sb:mi><sb:mrow><sb:mi>b</sb:mi><sb:mi>b</sb:mi></sb:mrow></sb:msub></sb:math> and <vb:math xmlns:vb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><vb:msub><vb:mi mathvariant=\"normal\">Ω</vb:mi><vb:mrow><vb:mi>b</vb:mi><vb:mi>b</vb:mi></vb:mrow></vb:msub></vb:math> baryons, identifying their ground and excited states. These theoretical insights serve as valuable benchmarks, offering guidance for future experimental searches targeting yet-to-be-discovered bottom mesons and doubly bottom baryons.","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"41 1","pages":""},"PeriodicalIF":5.3000,"publicationDate":"2025-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Unified spectroscopic study of bottom mesons and doubly bottom baryons using a relativistic flux-tube model\",\"authors\":\"Pooja Jakhad, Ajay Kumar Rai\",\"doi\":\"10.1103/m2xt-pkxm\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Using the relativistic flux tube model with spin-dependent corrections, we present a unified investigation of the mass spectra for singly bottom mesons (B</a:mi></a:mrow></a:math>, <c:math xmlns:c=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><c:msub><c:mi>B</c:mi><c:mi>s</c:mi></c:msub></c:math>) and doubly bottom baryons (<e:math xmlns:e=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><e:msub><e:mi mathvariant=\\\"normal\\\">Ξ</e:mi><e:mrow><e:mi>b</e:mi><e:mi>b</e:mi></e:mrow></e:msub></e:math>, <h:math xmlns:h=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><h:msub><h:mi mathvariant=\\\"normal\\\">Ω</h:mi><h:mrow><h:mi>b</h:mi><h:mi>b</h:mi></h:mrow></h:msub></h:math>). Within this framework, the calculated masses for established <k:math xmlns:k=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><k:mi>B</k:mi></k:math> and <m:math xmlns:m=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><m:msub><m:mi>B</m:mi><m:mi>s</m:mi></m:msub></m:math> meson states show excellent agreement with experimental data. Leveraging these reliable predictions for low-lying states, we propose spectroscopic assignments for several higher excitations: we identify the <o:math xmlns:o=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><o:msubsup><o:mi>B</o:mi><o:mi>J</o:mi><o:mo>*</o:mo></o:msubsup><o:mo stretchy=\\\"false\\\">(</o:mo><o:mn>5732</o:mn><o:mo stretchy=\\\"false\\\">)</o:mo></o:math> resonance as an excellent candidate for the <s:math xmlns:s=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><s:mn>1</s:mn><s:mi>P</s:mi><s:mo stretchy=\\\"false\\\">(</s:mo><s:msup><s:mn>1</s:mn><s:mo>+</s:mo></s:msup><s:mo stretchy=\\\"false\\\">)</s:mo></s:math> state; further, we assign the <w:math xmlns:w=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><w:msub><w:mi>B</w:mi><w:mi>J</w:mi></w:msub><w:mo stretchy=\\\"false\\\">(</w:mo><w:mn>5840</w:mn><w:mo stretchy=\\\"false\\\">)</w:mo></w:math> resonance as the first radial excitation (2</ab:mn>S</ab:mi></ab:math>), and the <cb:math xmlns:cb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><cb:msub><cb:mi>B</cb:mi><cb:mi>J</cb:mi></cb:msub><cb:mo stretchy=\\\"false\\\">(</cb:mo><cb:mn>5970</cb:mn><cb:mo stretchy=\\\"false\\\">)</cb:mo></cb:math> resonance as a <gb:math xmlns:gb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><gb:mn>1</gb:mn><gb:mi>D</gb:mi></gb:math>-wave orbital excitation. In the bottom-strange sector, we predict that the recently observed <ib:math xmlns:ib=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><ib:msub><ib:mi>B</ib:mi><ib:mrow><ib:mi>s</ib:mi><ib:mi>J</ib:mi></ib:mrow></ib:msub><ib:mo stretchy=\\\"false\\\">(</ib:mo><ib:mn>6063</ib:mn><ib:mo stretchy=\\\"false\\\">)</ib:mo></ib:math> and <mb:math xmlns:mb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><mb:msub><mb:mi>B</mb:mi><mb:mrow><mb:mi>s</mb:mi><mb:mi>J</mb:mi></mb:mrow></mb:msub><mb:mo stretchy=\\\"false\\\">(</mb:mo><mb:mn>6114</mb:mn><mb:mo stretchy=\\\"false\\\">)</mb:mo></mb:math> resonances belong to the <qb:math xmlns:qb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><qb:mn>1</qb:mn><qb:mi>D</qb:mi></qb:math>-wave multiplet. Extending our model to doubly bottom baryons, we present comprehensive predictions for the spectra of the <sb:math xmlns:sb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><sb:msub><sb:mi mathvariant=\\\"normal\\\">Ξ</sb:mi><sb:mrow><sb:mi>b</sb:mi><sb:mi>b</sb:mi></sb:mrow></sb:msub></sb:math> and <vb:math xmlns:vb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><vb:msub><vb:mi mathvariant=\\\"normal\\\">Ω</vb:mi><vb:mrow><vb:mi>b</vb:mi><vb:mi>b</vb:mi></vb:mrow></vb:msub></vb:math> baryons, identifying their ground and excited states. These theoretical insights serve as valuable benchmarks, offering guidance for future experimental searches targeting yet-to-be-discovered bottom mesons and doubly bottom baryons.\",\"PeriodicalId\":20167,\"journal\":{\"name\":\"Physical Review D\",\"volume\":\"41 1\",\"pages\":\"\"},\"PeriodicalIF\":5.3000,\"publicationDate\":\"2025-10-14\",\"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/m2xt-pkxm\",\"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/m2xt-pkxm","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}
Unified spectroscopic study of bottom mesons and doubly bottom baryons using a relativistic flux-tube model
Using the relativistic flux tube model with spin-dependent corrections, we present a unified investigation of the mass spectra for singly bottom mesons (B, Bs) and doubly bottom baryons (Ξbb, Ωbb). Within this framework, the calculated masses for established B and Bs meson states show excellent agreement with experimental data. Leveraging these reliable predictions for low-lying states, we propose spectroscopic assignments for several higher excitations: we identify the BJ*(5732) resonance as an excellent candidate for the 1P(1+) state; further, we assign the BJ(5840) resonance as the first radial excitation (2S), and the BJ(5970) resonance as a 1D-wave orbital excitation. In the bottom-strange sector, we predict that the recently observed BsJ(6063) and BsJ(6114) resonances belong to the 1D-wave multiplet. Extending our model to doubly bottom baryons, we present comprehensive predictions for the spectra of the Ξbb and Ωbb baryons, identifying their ground and excited states. These theoretical insights serve as valuable benchmarks, offering guidance for future experimental searches targeting yet-to-be-discovered bottom mesons and doubly bottom baryons.
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.