Triangle singularity enhancing isospin violation in Bs0 → J/ψπ0f0(980)

  • We perform calculations for the Bs0→ J/ψπ0f0(980) and Bs0 → J/ψπ0a0(980) reactions, showing that the first is isospin-suppressed while the second is isospin-allowed. The reaction proceeds via a triangle mechanism, with Bs0 →J/ψK* K +c.c., followed by the decay K* →Kπ and a further fusion of KK into the f0(980) or a0(980). We show that the mechanism develops a singularity around the π0 f0(980) or π0a0(980) invariant mass of 1420 MeV, where the π0f0 and π0a0 decay modes are magnified and also the ratio of π0f0 to π0a0 production. Using experimental information for the Bs0 → J/ψK*K +c.c. decay, we are able to obtain absolute values for the reactions studied which fall into the experimentally accessible range. The reactions proposed and the observables evaluated, when contrasted with actual experiments, should be very valuable to obtain information on the nature of the low lying scalar mesons.
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Wei-Hong Liang, S. Sakai, Ju-Jun Xie and E. Oset. Triangle singularity enhancing isospin violation in Bs0 → J/ψπ0f0(980)[J]. Chinese Physics C, 2018, 42(4): 044101. doi: 10.1088/1674-1137/42/4/044101
Wei-Hong Liang, S. Sakai, Ju-Jun Xie and E. Oset. Triangle singularity enhancing isospin violation in Bs0 → J/ψπ0f0(980)[J]. Chinese Physics C, 2018, 42(4): 044101.  doi: 10.1088/1674-1137/42/4/044101 shu
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Received: 2017-11-29
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    Supported by National Natural Science Foundation of China (11565007, 11747307, 11647309, 11735003, 11475227), the Youth Innovation Promotion Association CAS (2016367). This work is also partly supported by the Spanish Ministerio de Economia y Competitividad and European FEDER funds (FIS2011-28853-C02-01, FIS2011-28853-C02-02, FIS2014-57026-REDT, FIS2014-51948-C2-1-P, FIS2014-51948-C2-2-P) and the Generalitat Valenciana in the program Prometeo (II-2014/068)

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Triangle singularity enhancing isospin violation in Bs0 → J/ψπ0f0(980)

    Corresponding author: Wei-Hong Liang,
    Corresponding author: S. Sakai,
    Corresponding author: Ju-Jun Xie,
    Corresponding author: E. Oset,
  • 1. Department of Physics, Guangxi Normal University, Guilin 541004, China
  • 2. Departamento de Fí
  • 3.  Departamento de Fí
  • 4. Departamento de Fí
  • 5. Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
Fund Project:  Supported by National Natural Science Foundation of China (11565007, 11747307, 11647309, 11735003, 11475227), the Youth Innovation Promotion Association CAS (2016367). This work is also partly supported by the Spanish Ministerio de Economia y Competitividad and European FEDER funds (FIS2011-28853-C02-01, FIS2011-28853-C02-02, FIS2014-57026-REDT, FIS2014-51948-C2-1-P, FIS2014-51948-C2-2-P) and the Generalitat Valenciana in the program Prometeo (II-2014/068)

Abstract: We perform calculations for the Bs0→ J/ψπ0f0(980) and Bs0 → J/ψπ0a0(980) reactions, showing that the first is isospin-suppressed while the second is isospin-allowed. The reaction proceeds via a triangle mechanism, with Bs0 →J/ψK* K +c.c., followed by the decay K* →Kπ and a further fusion of KK into the f0(980) or a0(980). We show that the mechanism develops a singularity around the π0 f0(980) or π0a0(980) invariant mass of 1420 MeV, where the π0f0 and π0a0 decay modes are magnified and also the ratio of π0f0 to π0a0 production. Using experimental information for the Bs0 → J/ψK*K +c.c. decay, we are able to obtain absolute values for the reactions studied which fall into the experimentally accessible range. The reactions proposed and the observables evaluated, when contrasted with actual experiments, should be very valuable to obtain information on the nature of the low lying scalar mesons.

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