{"title":"Hidden charmed decays of X(3872) within the DD¯* molecular framework","authors":"Hao-Dong Cai, Zhao-Sai Jia, Gang Li, Shi-Dong Liu","doi":"10.1103/gn25-fc9q","DOIUrl":null,"url":null,"abstract":"The dipionic transition of the X</a:mi>(</a:mo>3872</a:mn>)</a:mo></a:math> to the <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:msub><e:mi>η</e:mi><e:mi>c</e:mi></e:msub></e:math> was investigated using an effective Lagrangian approach. In this study, the <g:math xmlns:g=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><g:mi>X</g:mi><g:mo stretchy=\"false\">(</g:mo><g:mn>3872</g:mn><g:mo stretchy=\"false\">)</g:mo></g:math> was assumed to be a <k:math xmlns:k=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><k:mi>D</k:mi><k:msup><k:mover accent=\"true\"><k:mi>D</k:mi><k:mo stretchy=\"false\">¯</k:mo></k:mover><k:mo>*</k:mo></k:msup><k:mo>+</k:mo><k:mi mathvariant=\"normal\">c</k:mi><k:mo>.</k:mo><k:mi mathvariant=\"normal\">c</k:mi><k:mo>.</k:mo></k:math> bound state with the quantum numbers <q:math xmlns:q=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><q:msup><q:mi>J</q:mi><q:mrow><q:mi>P</q:mi><q:mi>C</q:mi></q:mrow></q:msup><q:mo>=</q:mo><q:msup><q:mn>1</q:mn><q:mrow><q:mo>+</q:mo><q:mo>+</q:mo></q:mrow></q:msup></q:math> and to decay via triangle and box loops. It is found that the partial decay widths arising from the box loops are one order of magnitude greater than those from the triangle ones. The decay widths are model-dependent, as characterized by the cutoff parameter introduced in the form factor. Moreover, the charged and neutral <s:math xmlns:s=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><s:mi>D</s:mi><s:msup><s:mover accent=\"true\"><s:mi>D</s:mi><s:mo stretchy=\"false\">¯</s:mo></s:mover><s:mo>*</s:mo></s:msup></s:math> configurations of the <w:math xmlns:w=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><w:mi>X</w:mi><w:mo stretchy=\"false\">(</w:mo><w:mn>3872</w:mn><w:mo stretchy=\"false\">)</w:mo></w:math> and its mass also influence the decay widths. With our model parameters, the decay widths for the X</ab:mi>(</ab:mo>3872</ab:mn>)</ab:mo>→</ab:mo>π</ab:mi>+</ab:mo></ab:msup>π</ab:mi>−</ab:mo></ab:msup>η</ab:mi>c</ab:mi></ab:msub></ab:math> can reach up to several tens of keV. We hope that the current calculations within the molecular interpretation will be helpful for the future experiments. <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":"2025-06-09","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/gn25-fc9q","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
The dipionic transition of the X(3872) to the ηc was investigated using an effective Lagrangian approach. In this study, the X(3872) was assumed to be a DD¯*+c.c. bound state with the quantum numbers JPC=1++ and to decay via triangle and box loops. It is found that the partial decay widths arising from the box loops are one order of magnitude greater than those from the triangle ones. The decay widths are model-dependent, as characterized by the cutoff parameter introduced in the form factor. Moreover, the charged and neutral DD¯* configurations of the X(3872) and its mass also influence the decay widths. With our model parameters, the decay widths for the X(3872)→π+π−ηc can reach up to several tens of keV. We hope that the current calculations within the molecular interpretation will be helpful for the future experiments. 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.