Weak Decays of Doubly Heavy Baryons: ${\mathcal{B}}_{cc}\to \mathcal{B}{D}^{(\ast )}$

Abstract

The discovery of ${\Xi }_{cc}^{++}$ has inspired new interest in studying doubly heavy baryons. In this study, the weak decays of a doubly charmed baryon ${\mathcal{B}}_{cc}$ to a light baryon $\mathcal{B}$ and a charm meson $D^{(\ast )}$ (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 ${\mathcal{B}}_{cc}\to \mathcal{B}{D}^{\ast }$ 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: $\mathcal{B}\mathcal{R}({\Xi }_{cc}^{++}\to {\Sigma }^{+}{D}^{\ast +})\in [0.46\%,3.33\%]$ estimated with ${\tau }_{{\Xi }_{cc}^{++}}=256$ fs; $\mathcal{B}\mathcal{R}({\Xi }_{cc}^{+}\to \Lambda D^{\ast +})\in [0.38\%,2.63\%]$ and $\mathcal{B}\mathcal{R}({\Xi }_{cc}^{+}\to {\Sigma }^0{D}^{\ast +})\in [0.45\%,3.16\%]$ with ${\tau }_{{\Xi }_{cc}^{+}}=45$ fs; and $\mathcal{B}\mathcal{R}({\Omega }_{cc}^{+}\to {\Xi }^0{D}^{\ast +})\in [0.27\%,1.03\%]$, $\mathcal{B}\mathcal{R}({\Omega }_{cc}^{+}\to {\Xi }^0{D}^{+})\in [0.07\%,0.44\%]$ and $\mathcal{B}\mathcal{R}({\Omega }_{cc}^{+}\to {\Sigma }^0{D}^{\ast +})\in [0.06\%,0.45\%]$ with ${\tau }_{{\Omega }_{cc}^{+}}=75$ 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.

21 pages, 4 figures, 8 tables; Published version

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Cited by in corpus (7)

• An updated review of the new hadron states
• Topological tensor invariants and the current algebra approach: Analysis of 196 nonleptonic two-body decays of single and double charm baryons -- a review
• QCD sum rules analysis of weak decays of doubly heavy baryons: the $b\to c$ processes
• Deciphering Weak Decays of Triply Heavy Baryons by SU(3) Analysis
• The nonleptonic decays ${\Xi }_{cc}^{++}\to {\Xi }_c^{(\prime )+}{\pi }^{+}$ within the nonrelativistic quark model
• The effects of polarization on the observables in the decay ${\Xi }_{cc}^{++}\to {\Xi }_c^{+}\bar{\ell }{\nu }_{\ell }$
• Topological diagrams of doubly charmed baryon decays in the $SU(3{)}_F$ limit