Predictions for the isospin-violating decays of B_c(1P)⁺→ B_c^(*)+π⁰

2025/07/26 by Wang, Jun, Zhao, Qiang
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.2507.19952

Abstract

In this work we study the isospin-violating decays of B_c(1P)⁺→ B_c^(*)+π⁰, which may provide additional information for the determination of the properties of the first orbital excitation states of B_c(1P)⁺. By assuming a dual relation between the U(1) anomaly soft-gluon coupling for B_c(1P)⁺→ B_c^(*)+π⁰ and the intermediate meson loop transitions, we can quantify the isospin-violating decay effects for these four P-wave states. We find that the partial decay width of B_c0^*+→ B_c⁺π⁰ is about three orders of magnitude larger than that for B_c2^*+→ B_c⁺π⁰. It implies that B_c0^*+ can be established in the B_c⁺π⁰ decay channel as a single state. Meanwhile, the two axial-vector states B_c1⁺/B_c1'⁺ can be possibly identified in B_c1⁺/B_c1'⁺→ B_c^*+π⁰ with comparable strengths. Although these isospin-violating decays turn out to be small, the theoretical predictions should be useful for guiding future experimental efforts.

Citations

• Observation of orbitally excited B_c⁺ states
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• Resolving the polarization puzzles in D⁰→ VV
• Covariant tensor formalism for partial wave analyses of psi decay to mesons
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