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Two-body charmed-anticharmed baryonic $B$ decays

Department of Physics and Center for High Energy Physics, Chung Yuan Christian University, Chung-Li, Taiwan 320, Republic of China

Phys. Rev. D 113, 116039 – Published 25 June, 2026

DOI: https://doi.org/10.1103/wyh4-4pzj

Abstract

We study the rates of two-body charmed-anticharmed baryonic $\bar{B} \to B_{c} {\bar{B}}_{c}$ decays using the topological amplitude approach. All amplitudes of $\bar{B} \to B_{c} ({\bar{3}}_{f}) {\bar{B}}_{c} (3_{f})$ , $B_{c} (6_{f}) {\bar{B}}_{c} (3_{f})$ , $B_{c} ({\bar{3}}_{f}) {\bar{B}}_{c} ({\bar{6}}_{f})$ , and $B_{c} (6_{f}) {\bar{B}}_{c} ({\bar{6}}_{f})$ decays are decomposed topologically. SU(3) breaking effects on these amplitudes, depending on the position of the $s$ -quark line, are modeled. Using existing data as input, we obtained the following results: (i) In the low-lying $\bar{B} \to B_{c} ({\bar{3}}_{f}) {\bar{B}}_{c} (3_{f})$ decays, we find that the exchange diagram is sizable. Furthermore, there is a large cancellation between internal $W$ -tree and exchange- $W$ -tree amplitudes. The SU(3) breaking is sizable, 35% SU(3) breaking effects are needed, and they work differently in different amplitudes. Namely, the internal $W$ -tree amplitude is enlarged, while the exchange- $W$ -tree amplitude is reduced. The rates of $\bar{B} \to B_{c} ({\bar{3}}_{f}) {\bar{B}}_{c} (3_{f})$ decays with excited $B_{c} ({\bar{3}}_{f})$ , such as $Λ_{c} (2595)^{+}$ , $Ξ_{c} (2790)^{+, 0}$ , are also studied. (ii) The $\bar{B} \to B_{c} (6_{f}) {\bar{B}}_{c} (3_{f})$ decays, with low-lying ${\bar{B}}_{c} (3_{f})$ and low-lying and excited $B_{c} (6_{f})$ baryons, such as $Σ_{c} (2520)^{+, 0}$ , $Ξ_{c} (2645)^{+, 0}$ , $Ω_{c} (2770)^{0}$ , are studied with some predictions on rates obtained. Furthermore, as the excited states are spin- $3 / 2$ states, some of their rates are highly suppressed by the kinematic factor. (iii) The $\bar{B} \to B_{c} ({\bar{3}}_{f}) {\bar{B}}_{c} ({\bar{6}}_{f})$ decays with low-lying charmed-anticharmed baryons are studied with some predictions on rates obtained. (iv) Uncertainties in most predicted rates are large, reflecting our current poor understanding of the related SU(3) breaking effects. Measuring these rates can provide very useful information about these effects.

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Phys. Rev. D 113, 116039– Published 25 June, 2026

Vol. 113, Iss. 11 — 1 June 2026

Received 22 April 2026
Accepted 2 June 2026

DOI: https://doi.org/10.1103/wyh4-4pzj

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

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Two-body charmed-anticharmed baryonic $B$ decays

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Two-body charmed-anticharmed baryonic B decays

Abstract

Physics Subject Headings (PhySH)

Article Text

References (32)

Two-body charmed-anticharmed baryonic $B$ decays