Triangle singularity enhancing isospin violation in Bs0 &rarr; J/&psi;&pi;0f0(980)

Wei-Hong Liang; S. Sakai; Ju-Jun Xie; E. Oset

doi:10.1088/1674-1137/42/4/044101

Chinese Physics C> 2018, Vol. 42> Issue(4) : 044101 DOI: 10.1088/1674-1137/42/4/044101

Triangle singularity enhancing isospin violation in B_s⁰ → J/ψπ⁰f₀(980)

Wei-Hong Liang ^1,2,, ,
S. Sakai ^2,, ,
Ju-Jun Xie ^2,3,, ,
E. Oset ^2,,

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

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Abstract：
We perform calculations for the B_s⁰→ J/ψπ⁰f₀(980) and B_s⁰ → 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 B_s⁰ →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 B_s⁰ → 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.
- triangle singularity ,
- light scalar meson ,
- isospin violation ,
- bottom meson decay

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Wei-Hong Liang, S. Sakai, Ju-Jun Xie and E. Oset. Triangle singularity enhancing isospin violation in B_s⁰ → J/ψπ⁰f₀(980)[J]. Chinese Physics C, 2018, 42(4): 044101. doi: 10.1088/1674-1137/42/4/044101

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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 B_s⁰ → J/ψπ⁰f₀(980)

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Triangle singularity enhancing isospin violation in B_s⁰ → J/ψπ⁰f₀(980)

Corresponding author: Wei-Hong Liang,

Corresponding author: S. Sakai,

Corresponding author: Ju-Jun Xie,

Corresponding author: E. Oset,

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