B¯0K¯(*)0X, BK(*)X, B¯s0η(η, ϕ)X from the X(3872) molecular perspective

Wei-Hong Liang (Department of Physics, Guangxi Normal University, Guilin 541004, China; Guangxi Key Laboratory of Nuclear Physics and Technology, Guangxi Normal University, Guilin 541004, China) ; Ting Ban (Department of Physics, Guangxi Normal University, Guilin 541004, China) ; Eulogio Oset (Department of Physics, Guangxi Normal University, Guilin 541004, China; Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC Institutos de Investigación de Paterna, Apartado 22085, 46071 Valencia, Spain)

We study the decays B¯0K¯0X, BKX, B¯s0η(η)X, B¯0K¯*0X, BK*X, B¯s0ϕX, with XX(3872), from the perspective of the X(3872) being a molecular state made from the interaction of the D*+D,D*0D¯0, and c.c. components. We consider both the external and internal emission decay mechanisms and find an explanation for the K¯0X and KX production rates, based on the mass difference of the charged and neutral D*D¯ components. We also find that the internal and external emission mechanisms add constructively in the B¯0K¯0X, BKX reactions, while they add destructively in the case of B¯0K¯*0X, BK*X reactions. This feature explains the decay widths of the present measurements and allows us to make predictions for the unmeasured modes of B¯s0η(η)X(3872) and BK*X(3872). The future measurement of these decay modes will help us get a better perspective on the nature of the X(3872) and the mechanisms present in production reactions of that state.

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      "title": "<math><mrow><msup><mrow><mover><mrow><mi>B</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow><mn>0</mn></msup><mo>\u2192</mo><msup><mrow><mover><mrow><mi>K</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow><mrow><mo>(</mo><mo>*</mo><mo>)</mo><mn>0</mn></mrow></msup><mi>X</mi></mrow></math>, <math><mrow><msup><mrow><mi>B</mi></mrow><mrow><mo>\u2212</mo></mrow></msup><mo>\u2192</mo><msup><mrow><mi>K</mi></mrow><mrow><mo>(</mo><mo>*</mo><mo>)</mo><mo>\u2212</mo></mrow></msup><mi>X</mi></mrow></math>, <math><mrow><msubsup><mrow><mover><mrow><mi>B</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow><mrow><mi>s</mi></mrow><mn>0</mn></msubsup><mo>\u2192</mo><mi>\u03b7</mi><mo>(</mo><msup><mrow><mi>\u03b7</mi></mrow><mrow><mo>\u2032</mo></mrow></msup><mo>,</mo><mtext> </mtext><mi>\u03d5</mi><mo>)</mo><mi>X</mi></mrow></math> from the <math><mrow><mi>X</mi><mo>(</mo><mn>3872</mn><mo>)</mo></mrow></math> molecular perspective"
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      "source": "APS", 
      "value": "We study the decays <math><msup><mover><mi>B</mi><mo>\u00af</mo></mover><mn>0</mn></msup><mo>\u2192</mo><msup><mover><mi>K</mi><mo>\u00af</mo></mover><mn>0</mn></msup><mi>X</mi></math>, <math><msup><mi>B</mi><mo>\u2212</mo></msup><mo>\u2192</mo><msup><mi>K</mi><mo>\u2212</mo></msup><mi>X</mi></math>, <math><msubsup><mover><mi>B</mi><mo>\u00af</mo></mover><mi>s</mi><mn>0</mn></msubsup><mo>\u2192</mo><mi>\u03b7</mi><mo>(</mo><msup><mi>\u03b7</mi><mo>\u2032</mo></msup><mo>)</mo><mi>X</mi></math>, <math><msup><mover><mi>B</mi><mo>\u00af</mo></mover><mn>0</mn></msup><mo>\u2192</mo><msup><mover><mi>K</mi><mo>\u00af</mo></mover><mrow><mo>*</mo><mn>0</mn></mrow></msup><mi>X</mi></math>, <math><msup><mi>B</mi><mo>\u2212</mo></msup><mo>\u2192</mo><msup><mi>K</mi><mrow><mo>*</mo><mo>\u2212</mo></mrow></msup><mi>X</mi></math>, <math><msubsup><mover><mi>B</mi><mo>\u00af</mo></mover><mi>s</mi><mn>0</mn></msubsup><mo>\u2192</mo><mi>\u03d5</mi><mi>X</mi></math>, with <math><mi>X</mi><mo>\u2261</mo><mi>X</mi><mo>(</mo><mn>3872</mn><mo>)</mo></math>, from the perspective of the <math><mi>X</mi><mo>(</mo><mn>3872</mn><mo>)</mo></math> being a molecular state made from the interaction of the <math><msup><mi>D</mi><mrow><mo>*</mo><mo>+</mo></mrow></msup><msup><mi>D</mi><mo>\u2212</mo></msup><mo>,</mo><msup><mi>D</mi><mrow><mo>*</mo><mn>0</mn></mrow></msup><msup><mover><mi>D</mi><mo>\u00af</mo></mover><mn>0</mn></msup></math>, and <math><mrow><mi>c</mi><mo>.</mo><mi>c</mi><mo>.</mo></mrow></math> components. We consider both the external and internal emission decay mechanisms and find an explanation for the <math><msup><mover><mi>K</mi><mo>\u00af</mo></mover><mn>0</mn></msup><mi>X</mi></math> and <math><msup><mi>K</mi><mo>\u2212</mo></msup><mi>X</mi></math> production rates, based on the mass difference of the charged and neutral <math><msup><mi>D</mi><mo>*</mo></msup><mover><mi>D</mi><mo>\u00af</mo></mover></math> components. We also find that the internal and external emission mechanisms add constructively in the <math><msup><mover><mi>B</mi><mo>\u00af</mo></mover><mn>0</mn></msup><mo>\u2192</mo><msup><mover><mi>K</mi><mo>\u00af</mo></mover><mn>0</mn></msup><mi>X</mi></math>, <math><msup><mi>B</mi><mo>\u2212</mo></msup><mo>\u2192</mo><msup><mi>K</mi><mo>\u2212</mo></msup><mi>X</mi></math> reactions, while they add destructively in the case of <math><msup><mover><mi>B</mi><mo>\u00af</mo></mover><mn>0</mn></msup><mo>\u2192</mo><msup><mover><mi>K</mi><mo>\u00af</mo></mover><mrow><mo>*</mo><mn>0</mn></mrow></msup><mi>X</mi></math>, <math><msup><mi>B</mi><mo>\u2212</mo></msup><mo>\u2192</mo><msup><mi>K</mi><mrow><mo>*</mo><mo>\u2212</mo></mrow></msup><mi>X</mi></math> reactions. This feature explains the decay widths of the present measurements and allows us to make predictions for the unmeasured modes of <math><msubsup><mover><mi>B</mi><mo>\u00af</mo></mover><mi>s</mi><mn>0</mn></msubsup><mo>\u2192</mo><mi>\u03b7</mi><mo>(</mo><msup><mi>\u03b7</mi><mo>\u2032</mo></msup><mo>)</mo><mi>X</mi><mo>(</mo><mn>3872</mn><mo>)</mo></math> and <math><msup><mi>B</mi><mo>\u2212</mo></msup><mo>\u2192</mo><msup><mi>K</mi><mrow><mo>*</mo><mo>\u2212</mo></mrow></msup><mi>X</mi><mo>(</mo><mn>3872</mn><mo>)</mo></math>. The future measurement of these decay modes will help us get a better perspective on the nature of the <math><mi>X</mi><mo>(</mo><mn>3872</mn><mo>)</mo></math> and the mechanisms present in production reactions of that state."
    }
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Published on:
21 March 2024
Publisher:
APS
Published in:
Physical Review D , Volume 109 (2024)
Issue 5
DOI:
https://doi.org/10.1103/PhysRevD.109.054030
arXiv:
2310.04087
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: