The Electromagnetic Decays of $B_c^{\pm }(2S)$

Abstract

We calculate the electromagnetic (EM) decay widths of the $B_c^{\pm }(2S)$ meson, which is observed recently by the ATLAS Collaboration. The main EM decay channels of this particle are $1{}^3{S}_1\gamma$ and $1P\gamma$, which, in literature, are estimated to have the branching ratio of about $1/10$. In this work, we get the partial decay widths: $\Gamma (2{}^1{S}_0\to 1{}^3{S}_1\gamma )=0.192$ keV, $\Gamma (2{}^1{S}_0\to 1P_1\gamma )=2.24$ keV and $\Gamma (2{}^1{S}_0\to 1P_1^{\prime }\gamma )=11.4$ keV. In the calculation, the instantaneous approximated Bethe-Salpeter method is used. For the $P$-wave $B_c$ mesons, the wave functions are given by mixing the ${}^3{P}_1$ and ${}^1{P}_1$ states. Within the Mandelstam formalism, the decay amplitude is given, which includes the relativistic corrections.

9 pages, 3 figures, 3 tables

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• Probing the Majorana neutrinos and their CP violation in decays of charged scalar mesons $\pi ,K,D,D_s,B,B_c$
• Spectrum for Heavy Quankonia and Mixture of the Relevant Wave Functions within the Framework of Bethe-Salpeter Equation
• Decay constants of $P$-wave mesons
• Semileptonic $B(B_s,B_c)$ decays in the light-cone QCD sum rules
• Partially Composite Dark Matter

Cited by in corpus (6)

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• The electromagnetic decays of $X(3823)$ as the ${\psi }_2(1^3{D}_2)$ state and its radial excited states
• Radiative decays of heavy-light quarkonia through $M1$, and $E1$ transitions in the framework of Bethe-Salpeter equation
• $E1$ and M1 radiative transitions involving heavy-light axial, pseudoscalar and vector quarkonia in the framework of Bethe-Salpeter equation
• Electromagnetic transitions of $(b\bar{c})$ bound system
• P-wave excited $B_c^{\ast \ast }$ meson photoproduction at the LHeC