Abstract
The discovery of has inspired new interest in studying doubly heavy baryons. In this study, the weak decays of a doubly charmed baryon to a light baryon and a charm meson (either a pseudoscalar or a vector one) are calculated. Following our previous work, we calculate the short distance contributions under the factorization hypothesis, whereas the long distance contributions are modeled as the final state interactions, which are calculated with the one particle exchange model. We find that the decays' branching ratios are obviously larger, as they receive contributions of more polarization states. Among the decays that we investigate, the following have the largest branching fractions: estimated with fs; and with fs; and , , and with fs. By comparing the decay widths of pure color commensurate channels with those of pure bow-tie ones, we find that the bow-tie mechanism plays an important role in charm decays.
Highlights
Studies on doubly heavy baryons that contain two heavy constituent quarks (c or b quark) have been conducted for a long time
The discovery inspired the research of doubly heavy baryons and further questions are proposed: which are the golden discovery channels of the other doubly charmed baryons and what else can we find in the decays of doubly charmed baryons? To answer these questions, further research on the weak decays of doubly heavy baryons is required
We extended the model of final state interactions (FSIs) to baryon decays [25, 26] and suggested the discovery channels for Ξ+cc+ successfully
Summary
Studies on doubly heavy baryons that contain two heavy constituent quarks (c or b quark) have been conducted for a long time. After discovering Ξ+cc+, measuring its lifetime, and confirming the discovery with another decay, the LHCb collaboration focused on the weak decays of Ξ+cc+ with a charm meson in the final state [27]. Motivated by these theoretical questions and experimental efforts, we study the two body nonleptonic decays of a doubly charmed baryon Bcc → BD(∗), where Bcc represents a doubly charmed baryon, B denotes a light baryon, and D(∗) is either a pseudoscalar or vector charm meson. We list all of the expressions of the amplitudes in Appendix B, whereas the strong couplings are presented in Appendix C
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