{"title":"利用Belle和LHCb数据估计同位旋0通道S波D*K散射长度","authors":"N. N. Achasov, G. N. Shestakov","doi":"10.1103/physrevd.111.076022","DOIUrl":null,"url":null,"abstract":"It is shown that the Belle and LHCb data on the interference of the amplitudes of the S</a:mi></a:mrow></a:math> and <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:mrow><c:mi>D</c:mi></c:mrow></c:math> partial waves in the decays <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:msub><e:mi>D</e:mi><e:mrow><e:mi>s</e:mi><e:mn>1</e:mn></e:mrow></e:msub><e:mo stretchy=\"false\">(</e:mo><e:mn>2536</e:mn><e:msup><e:mo stretchy=\"false\">)</e:mo><e:mo>+</e:mo></e:msup><e:mo stretchy=\"false\">→</e:mo><e:msup><e:mi>D</e:mi><e:mrow><e:mo>*</e:mo><e:mo>+</e:mo></e:mrow></e:msup><e:msubsup><e:mi>K</e:mi><e:mi>S</e:mi><e:mn>0</e:mn></e:msubsup></e:math> and <j:math xmlns:j=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><j:msub><j:mi>D</j:mi><j:mrow><j:mi>s</j:mi><j:mn>1</j:mn></j:mrow></j:msub><j:mo stretchy=\"false\">(</j:mo><j:mn>2536</j:mn><j:msup><j:mo stretchy=\"false\">)</j:mo><j:mo>−</j:mo></j:msup><j:mo stretchy=\"false\">→</j:mo><j:msup><j:mover accent=\"true\"><j:mi>D</j:mi><j:mo stretchy=\"false\">¯</j:mo></j:mover><j:mrow><j:mo>*</j:mo><j:mn>0</j:mn></j:mrow></j:msup><j:msup><j:mi>K</j:mi><j:mo>−</j:mo></j:msup></j:math> allow us to obtain an estimate of the <q:math xmlns:q=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><q:mrow><q:mi>S</q:mi></q:mrow></q:math>-wave <s:math xmlns:s=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><s:msup><s:mi>D</s:mi><s:mo>*</s:mo></s:msup><s:mi>K</s:mi></s:math> scattering length in the channel with isospin <u:math xmlns:u=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><u:mi>I</u:mi><u:mo>=</u:mo><u:mn>0</u:mn></u:math>: <w:math xmlns:w=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><w:mo stretchy=\"false\">|</w:mo><w:msubsup><w:mi>a</w:mi><w:mrow><w:msup><w:mi>D</w:mi><w:mo>*</w:mo></w:msup><w:mi>K</w:mi></w:mrow><w:mrow><w:mo stretchy=\"false\">(</w:mo><w:mn>0</w:mn><w:mo stretchy=\"false\">)</w:mo></w:mrow></w:msubsup><w:mo stretchy=\"false\">|</w:mo><w:mo>=</w:mo><w:mo stretchy=\"false\">(</w:mo><w:mn>0.94</w:mn><w:mo>±</w:mo><w:mn>0.06</w:mn><w:mo stretchy=\"false\">)</w:mo><w:mtext> </w:mtext><w:mtext> </w:mtext><w:mi>fm</w:mi></w:math>. The possibility of explaining the found value by the contribution of the <eb:math xmlns:eb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><eb:msub><eb:mi>D</eb:mi><eb:mrow><eb:mi>s</eb:mi><eb:mn>1</eb:mn></eb:mrow></eb:msub><eb:mo stretchy=\"false\">(</eb:mo><eb:mn>2460</eb:mn><eb:mo stretchy=\"false\">)</eb:mo></eb:math> resonance is discussed. The decay of <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:mn>1</ib:mn></ib:mrow></ib:msub><ib:mo stretchy=\"false\">(</ib:mo><ib:mn>5830</ib:mn><ib:mo stretchy=\"false\">)</ib:mo><ib:mo stretchy=\"false\">→</ib:mo><ib:msup><ib:mi>B</ib:mi><ib:mo>*</ib:mo></ib:msup><ib:mover accent=\"true\"><ib:mi>K</ib:mi><ib:mo stretchy=\"false\">¯</ib:mo></ib:mover></ib:math> is also briefly discussed. <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":5.0000,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Estimate of the S -wave D*K scattering length in the isospin-0 channel from Belle and LHCb data\",\"authors\":\"N. N. Achasov, G. N. Shestakov\",\"doi\":\"10.1103/physrevd.111.076022\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is shown that the Belle and LHCb data on the interference of the amplitudes of the S</a:mi></a:mrow></a:math> and <c:math xmlns:c=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><c:mrow><c:mi>D</c:mi></c:mrow></c:math> partial waves in the decays <e:math xmlns:e=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><e:msub><e:mi>D</e:mi><e:mrow><e:mi>s</e:mi><e:mn>1</e:mn></e:mrow></e:msub><e:mo stretchy=\\\"false\\\">(</e:mo><e:mn>2536</e:mn><e:msup><e:mo stretchy=\\\"false\\\">)</e:mo><e:mo>+</e:mo></e:msup><e:mo stretchy=\\\"false\\\">→</e:mo><e:msup><e:mi>D</e:mi><e:mrow><e:mo>*</e:mo><e:mo>+</e:mo></e:mrow></e:msup><e:msubsup><e:mi>K</e:mi><e:mi>S</e:mi><e:mn>0</e:mn></e:msubsup></e:math> and <j:math xmlns:j=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><j:msub><j:mi>D</j:mi><j:mrow><j:mi>s</j:mi><j:mn>1</j:mn></j:mrow></j:msub><j:mo stretchy=\\\"false\\\">(</j:mo><j:mn>2536</j:mn><j:msup><j:mo stretchy=\\\"false\\\">)</j:mo><j:mo>−</j:mo></j:msup><j:mo stretchy=\\\"false\\\">→</j:mo><j:msup><j:mover accent=\\\"true\\\"><j:mi>D</j:mi><j:mo stretchy=\\\"false\\\">¯</j:mo></j:mover><j:mrow><j:mo>*</j:mo><j:mn>0</j:mn></j:mrow></j:msup><j:msup><j:mi>K</j:mi><j:mo>−</j:mo></j:msup></j:math> allow us to obtain an estimate of the <q:math xmlns:q=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><q:mrow><q:mi>S</q:mi></q:mrow></q:math>-wave <s:math xmlns:s=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><s:msup><s:mi>D</s:mi><s:mo>*</s:mo></s:msup><s:mi>K</s:mi></s:math> scattering length in the channel with isospin <u:math xmlns:u=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><u:mi>I</u:mi><u:mo>=</u:mo><u:mn>0</u:mn></u:math>: <w:math xmlns:w=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><w:mo stretchy=\\\"false\\\">|</w:mo><w:msubsup><w:mi>a</w:mi><w:mrow><w:msup><w:mi>D</w:mi><w:mo>*</w:mo></w:msup><w:mi>K</w:mi></w:mrow><w:mrow><w:mo stretchy=\\\"false\\\">(</w:mo><w:mn>0</w:mn><w:mo stretchy=\\\"false\\\">)</w:mo></w:mrow></w:msubsup><w:mo stretchy=\\\"false\\\">|</w:mo><w:mo>=</w:mo><w:mo stretchy=\\\"false\\\">(</w:mo><w:mn>0.94</w:mn><w:mo>±</w:mo><w:mn>0.06</w:mn><w:mo stretchy=\\\"false\\\">)</w:mo><w:mtext> </w:mtext><w:mtext> </w:mtext><w:mi>fm</w:mi></w:math>. The possibility of explaining the found value by the contribution of the <eb:math xmlns:eb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><eb:msub><eb:mi>D</eb:mi><eb:mrow><eb:mi>s</eb:mi><eb:mn>1</eb:mn></eb:mrow></eb:msub><eb:mo stretchy=\\\"false\\\">(</eb:mo><eb:mn>2460</eb:mn><eb:mo stretchy=\\\"false\\\">)</eb:mo></eb:math> resonance is discussed. The decay of <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:mn>1</ib:mn></ib:mrow></ib:msub><ib:mo stretchy=\\\"false\\\">(</ib:mo><ib:mn>5830</ib:mn><ib:mo stretchy=\\\"false\\\">)</ib:mo><ib:mo stretchy=\\\"false\\\">→</ib:mo><ib:msup><ib:mi>B</ib:mi><ib:mo>*</ib:mo></ib:msup><ib:mover accent=\\\"true\\\"><ib:mi>K</ib:mi><ib:mo stretchy=\\\"false\\\">¯</ib:mo></ib:mover></ib:math> is also briefly discussed. <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\":5.0000,\"publicationDate\":\"2025-04-21\",\"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.111.076022\",\"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.111.076022","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}
Estimate of the S -wave D*K scattering length in the isospin-0 channel from Belle and LHCb data
It is shown that the Belle and LHCb data on the interference of the amplitudes of the S and D partial waves in the decays Ds1(2536)+→D*+KS0 and Ds1(2536)−→D¯*0K− allow us to obtain an estimate of the S-wave D*K scattering length in the channel with isospin I=0: |aD*K(0)|=(0.94±0.06)fm. The possibility of explaining the found value by the contribution of the Ds1(2460) resonance is discussed. The decay of Bs1(5830)→B*K¯ is also briefly discussed. 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.
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