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Study of the dilepton electromagnetic decays of χcJ(1P)

In this paper, the dilepton electromagnetic decays χ cJ ( 1 P ) → J / ψ e + e - and χ cJ ( 1 P ) → J ψ μ + μ - , where χ cJ denotes χ c 0 , χ c 1 and χ c 2 , are calculated systematically in the improved Bethe–Salpeter method. The numerical results of decay widths and the invariant mass distribution...

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Published in:The European physical journal. C, Particles and fields Particles and fields, 2019-12, Vol.79 (12)
Main Authors: Wang, Xuan-He, Jiang, Yue, Wang, Tianhong, Tan, Xiao-Ze, Li, Geng, Wang, Guo-Li
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container_title The European physical journal. C, Particles and fields
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Jiang, Yue
Wang, Tianhong
Tan, Xiao-Ze
Li, Geng
Wang, Guo-Li
description In this paper, the dilepton electromagnetic decays χ cJ ( 1 P ) → J / ψ e + e - and χ cJ ( 1 P ) → J ψ μ + μ - , where χ cJ denotes χ c 0 , χ c 1 and χ c 2 , are calculated systematically in the improved Bethe–Salpeter method. The numerical results of decay widths and the invariant mass distributions of the final lepton pairs are given. The comparison is made with the recently measured experimental data of BESIII. It is shown that for the cases including e + e - , the gauge invariance is decisive and should be considered carefully. For the processes of χ cJ ( 1 P ) → J / ψ e + e - , the branching fraction are: B [ χ c 0 ( 1 P ) → J / ψ e + e - ] = 1 . 06 - 0.18 + 0.16 × 10 - 4 , B [ χ c 1 ( 1 P ) → J / ψ e + e - ] = 2 . 88 - 0.53 + 0.50 × 10 - 3 , and B [ χ c 2 ( 1 P ) → J / ψ e + e - ] = 1 . 74 - 0.21 + 0.22 × 10 - 3 . The calculated branching fractions of χ cJ ( 1 P ) → J / ψ μ + μ - channels are: B [ χ c 0 ( 1 P ) → J / ψ μ + μ - ] = 3 . 80 - 0.64 + 0.59 × 10 - 6 , B [ χ c 1 ( 1 P ) → J / ψ μ + μ - ] = 2 . 04 - 0.38 + 0.36 × 10 - 4 , and B [ χ c 2 ( 1 P ) → J / ψ μ + μ - ] = 1 . 66 - 0.19 + 0.19 × 10 - 4 .
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The numerical results of decay widths and the invariant mass distributions of the final lepton pairs are given. The comparison is made with the recently measured experimental data of BESIII. It is shown that for the cases including e + e - , the gauge invariance is decisive and should be considered carefully. For the processes of χ cJ ( 1 P ) → J / ψ e + e - , the branching fraction are: B [ χ c 0 ( 1 P ) → J / ψ e + e - ] = 1 . 06 - 0.18 + 0.16 × 10 - 4 , B [ χ c 1 ( 1 P ) → J / ψ e + e - ] = 2 . 88 - 0.53 + 0.50 × 10 - 3 , and B [ χ c 2 ( 1 P ) → J / ψ e + e - ] = 1 . 74 - 0.21 + 0.22 × 10 - 3 . 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subjects Astronomy
Astrophysics and Cosmology
Decay
Elementary Particles
Gauge invariance
Hadrons
Heavy Ions
Leptons
Mathematical analysis
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
String Theory
title Study of the dilepton electromagnetic decays of χcJ(1P)
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