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Studies of the resonance components in the Bs decays into charmonia plus kaon pair

2019/07/31 by Zhou Rui, Ya Li, Hong Li
Physics and Astronomy · #Branching fraction #Invariant mass #Isospin #Meson #Particle physics theoretical and experimental studies #Polarization (electrochemistry) #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Resonance (particle physics) #Spectral line #hep-ph

paper · pdf · doi:10.1140/epjc/s10052-019-7313-3

published as Eur. Phys. J. C (2019) 79:792 · 18 pages, 3 figures, 5 tables

openalex created_date 2019/07/23 · openalex publication_date 2019/09/01 · arxiv created 2019/09/25 · arxiv updated 2019/09/26 · openalex updated_date 2026/08/05

Abstract

Abstract In this work, the decays of Bs <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>B</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:math> meson to a charmonium state and a K+K- <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>K</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math> pair are carefully investigated in the perturbative QCD approach. Following the latest fit from the LHCb experiment, we restrict ourselves to the case where the produced K+K- <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>K</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math> pair interact in isospin zero S , P , and D wave resonances in the kinematically allowed mass window. Besides the dominant contributions of the φ (1020) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>ϕ</mml:mi><mml:mo>(</mml:mo><mml:mn>1020</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math> resonance in the P -wave and f2'(1525) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msubsup><mml:mi>f</mml:mi><mml:mn>2</mml:mn><mml:mo>′</mml:mo></mml:msubsup><mml:mrow><mml:mo>(</mml:mo><mml:mn>1525</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> in the D -wave, other resonant structures in the high mass region as well as the S -wave components are also included. The invariant mass spectra for most of the resonances in the Bs→ J/ψ K+K- <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>→</mml:mo><mml:mi>J</mml:mi><mml:mo>/</mml:mo><mml:mi>ψ</mml:mi><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>K</mml:mi><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math> decay are well reproduced. The obtained three-body decay branching ratios can reach the order of 10-4 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:math> , which seem to be accessible in the near future experiments. The associated polarization fractions of those vector-vector and vector-tensor modes are also predicted, which are compared with the existing data from the LHCb Collaboration.

Citations