Predictions for the isospin-violating decays of $B_{c}(1P)^{+}\to B_{c}^{(*)+}π^{0}$
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912682524803072 |
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| author | Wang, Jun Zhao, Qiang |
| author_facet | Wang, Jun Zhao, Qiang |
| contents | In this work we study the isospin-violating decays of $B_{c}(1P)^{+}\to B_{c}^{(*)+}π^{0}$, 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 $B_{c}(1P)^{+}\to B_{c}^{(*)+}π^{0}$ 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 $B_{c0}^{*+}\to B_{c}^{+}π^{0}$ is about three orders of magnitude larger than that for $B_{c2}^{*+}\to B_{c}^{+}π^{0}$. It implies that $B_{c0}^{*+}$ can be established in the $B_{c}^{+}π^{0}$ decay channel as a single state. Meanwhile, the two axial-vector states $B_{c1}^{+}/B_{c1}'^{+}$ can be possibly identified in $B_{c1}^{+}/B_{c1}'^{+}\to B_{c}^{*+}π^{0}$ with comparable strengths. Although these isospin-violating decays turn out to be small, the theoretical predictions should be useful for guiding future experimental efforts. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_19952 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Predictions for the isospin-violating decays of $B_{c}(1P)^{+}\to B_{c}^{(*)+}π^{0}$ Wang, Jun Zhao, Qiang High Energy Physics - Phenomenology In this work we study the isospin-violating decays of $B_{c}(1P)^{+}\to B_{c}^{(*)+}π^{0}$, 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 $B_{c}(1P)^{+}\to B_{c}^{(*)+}π^{0}$ 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 $B_{c0}^{*+}\to B_{c}^{+}π^{0}$ is about three orders of magnitude larger than that for $B_{c2}^{*+}\to B_{c}^{+}π^{0}$. It implies that $B_{c0}^{*+}$ can be established in the $B_{c}^{+}π^{0}$ decay channel as a single state. Meanwhile, the two axial-vector states $B_{c1}^{+}/B_{c1}'^{+}$ can be possibly identified in $B_{c1}^{+}/B_{c1}'^{+}\to B_{c}^{*+}π^{0}$ with comparable strengths. Although these isospin-violating decays turn out to be small, the theoretical predictions should be useful for guiding future experimental efforts. |
| title | Predictions for the isospin-violating decays of $B_{c}(1P)^{+}\to B_{c}^{(*)+}π^{0}$ |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2507.19952 |