{"title":"Lattice study of J/ψ→γηc using a method without momentum extrapolation","authors":"Yu Meng, Chuan Liu, Teng Wang, Haobo Yan","doi":"10.1103/physrevd.111.014508","DOIUrl":null,"url":null,"abstract":"We present a model-independent method to calculate the radiative transition without the momentum extrapolation for the off shell transition factors. The on shell transition factor is directly obtained from the lattice hadronic function. We apply the method to calculate the charmonium radiative transition J</a:mi>/</a:mo>ψ</a:mi>→</a:mo>γ</a:mi>η</a:mi>c</a:mi></a:msub></a:math>. After a continuous extrapolation under three lattice spacings, we obtain the on shell transition factor as <d:math xmlns:d=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><d:mi>V</d:mi><d:mo stretchy=\"false\">(</d:mo><d:mn>0</d:mn><d:mo stretchy=\"false\">)</d:mo><d:mo>=</d:mo><d:mn>1.90</d:mn><d:mo stretchy=\"false\">(</d:mo><d:mn>4</d:mn><d:mo stretchy=\"false\">)</d:mo></d:math>, where the error is the statistical error that already takes into account the <j:math xmlns:j=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><j:msup><j:mi>a</j:mi><j:mn>2</j:mn></j:msup></j:math> error in the continuous extrapolation. Finally, we determine the branching fraction of <l:math xmlns:l=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><l:mi>J</l:mi><l:mo>/</l:mo><l:mi>ψ</l:mi><l:mo stretchy=\"false\">→</l:mo><l:mi>γ</l:mi><l:msub><l:mi>η</l:mi><l:mi>c</l:mi></l:msub></l:math> as <o:math xmlns:o=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><o:mi>Br</o:mi><o:mo stretchy=\"false\">(</o:mo><o:mi>J</o:mi><o:mo>/</o:mo><o:mi>ψ</o:mi><o:mo stretchy=\"false\">→</o:mo><o:mi>γ</o:mi><o:msub><o:mi>η</o:mi><o:mi>c</o:mi></o:msub><o:mo stretchy=\"false\">)</o:mo><o:mo>=</o:mo><o:mn>2.49</o:mn><o:mo stretchy=\"false\">(</o:mo><o:mn>11</o:mn><o:msub><o:mo stretchy=\"false\">)</o:mo><o:mi>lat</o:mi></o:msub><o:mo stretchy=\"false\">(</o:mo><o:mn>5</o:mn><o:msub><o:mo stretchy=\"false\">)</o:mo><o:mi>exp</o:mi></o:msub><o:mo>%</o:mo></o:math>, where the second error comes from the uncertainty of <x:math xmlns:x=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><x:mi>J</x:mi><x:mo>/</x:mo><x:mi>ψ</x:mi></x:math> total decay width 92.6(1.7) keV. <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":"14 1","pages":""},"PeriodicalIF":5.0000,"publicationDate":"2025-01-22","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.111.014508","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 a model-independent method to calculate the radiative transition without the momentum extrapolation for the off shell transition factors. The on shell transition factor is directly obtained from the lattice hadronic function. We apply the method to calculate the charmonium radiative transition J/ψ→γηc. After a continuous extrapolation under three lattice spacings, we obtain the on shell transition factor as V(0)=1.90(4), where the error is the statistical error that already takes into account the a2 error in the continuous extrapolation. Finally, we determine the branching fraction of J/ψ→γηc as Br(J/ψ→γηc)=2.49(11)lat(5)exp%, where the second error comes from the uncertainty of J/ψ total decay width 92.6(1.7) keV. 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.