Study on possible molecular states composed of ΛcD¯ (ΛbB) and ΣcD¯ (ΣbB) within the Bethe-Salpeter framework

Hong-Wei Ke (School of Science, Tianjin University, Tianjin 300072, China) ; Mei Li (School of Science, Tianjin University, Tianjin 300072, China) ; Xiao-Hai Liu (School of Science, Tianjin University, Tianjin 300072, China) ; Xue-Qian Li (School of Physics, Nankai University, Tianjin 300071, China)

Pc(4312) observed by the LHCb collaboration is confirmed as a pentaquark and its structure, production, and decay behaviors attract great attention from theorists and experimentalists. Since its mass is very close to sum of Σc and D¯ masses, it is naturally tempted to be considered as a molecular state composed of Σc and D¯. Moreover, Pc(4312) is observed in the channel with J/ψp final state, requiring that isospin conservation Pc(4312) is an isospin-1/2 eigenstate. In the literature, several groups used various models to estimate its spectrum. We systematically study the pentaquarks within the framework of the Bethe-Salpeter equation; thus Pc(4312) is an excellent target because of the available data. We calculate the spectrum of Pc(4312) in terms of the Bethe-Salpter equations and further study its decay modes. Some predictions on other possible pentaquark states that can be tested in future experiments are made.

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      "title": "Study on possible molecular states composed of <math><mrow><msub><mrow><mi>\u039b</mi></mrow><mrow><mi>c</mi></mrow></msub><mover><mrow><mi>D</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow></math> (<math><mrow><msub><mrow><mi>\u039b</mi></mrow><mrow><mi>b</mi></mrow></msub><mi>B</mi></mrow></math>) and <math><mrow><msub><mrow><mi>\u03a3</mi></mrow><mrow><mi>c</mi></mrow></msub><mover><mrow><mi>D</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow></math> (<math><mrow><msub><mrow><mi>\u03a3</mi></mrow><mrow><mi>b</mi></mrow></msub><mi>B</mi></mrow></math>) within the Bethe-Salpeter framework"
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      "source": "APS", 
      "value": "<math><msub><mi>P</mi><mi>c</mi></msub><mo>(</mo><mn>4312</mn><mo>)</mo></math> observed by the LHCb collaboration is confirmed as a pentaquark and its structure, production, and decay behaviors attract great attention from theorists and experimentalists. Since its mass is very close to sum of <math><msub><mi>\u03a3</mi><mi>c</mi></msub></math> and <math><mover><mi>D</mi><mo>\u00af</mo></mover></math> masses, it is naturally tempted to be considered as a molecular state composed of <math><msub><mi>\u03a3</mi><mi>c</mi></msub></math> and <math><mover><mi>D</mi><mo>\u00af</mo></mover></math>. Moreover, <math><msub><mi>P</mi><mi>c</mi></msub><mo>(</mo><mn>4312</mn><mo>)</mo></math> is observed in the channel with <math><mi>J</mi><mo>/</mo><mi>\u03c8</mi><mi>p</mi></math> final state, requiring that isospin conservation <math><msub><mi>P</mi><mi>c</mi></msub><mo>(</mo><mn>4312</mn><mo>)</mo></math> is an isospin-<math><mn>1</mn><mo>/</mo><mn>2</mn></math> eigenstate. In the literature, several groups used various models to estimate its spectrum. We systematically study the pentaquarks within the framework of the Bethe-Salpeter equation; thus <math><msub><mi>P</mi><mi>c</mi></msub><mo>(</mo><mn>4312</mn><mo>)</mo></math> is an excellent target because of the available data. We calculate the spectrum of <math><msub><mi>P</mi><mi>c</mi></msub><mo>(</mo><mn>4312</mn><mo>)</mo></math> in terms of the Bethe-Salpter equations and further study its decay modes. Some predictions on other possible pentaquark states that can be tested in future experiments are made."
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Published on:
27 January 2020
Publisher:
APS
Published in:
Physical Review D , Volume 101 (2020)
Issue 1
DOI:
https://doi.org/10.1103/PhysRevD.101.014024
arXiv:
1909.12509
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

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