Asymmetries of anti-triplet charmed baryon decays

Abstract

We analyze the decay processes of ${\mathbf{B}}_c\to {\mathbf{B}}_{n}M$ with the $SU(3{)}_F$ flavor symmetry and spin-dependent amplitudes, where ${\mathbf{B}}_c({\mathbf{B}}_n)$ and $M$ are the anti-triplet charmed (octet) baryon and nonet meson states, respectively. In the $SU(3{)}_F$ approach, it is the first time that the decay rates and up-down asymmetries are fully and systematically studied without neglecting the $\mathcal{O}(\overline{15})$ contributions of the color anti-symmetric parts in the effective Hamiltonian. Our results of the up-down asymmetries based on $SU(3{)}_F$ are quite different from the previous theoretical values in the literature. In particular, we find that the up-down symmetry of $\alpha ({\Lambda }_c^{+}\to {\Xi }^0{K}^{+}{)}_{SU(3)}=0.94_{-0.11}^{+0.06}$, which is consistent with the recent experimental data of $0.77\pm 0.78$ by the BESIII Collaboration, but predicted to be zero in the literature. We also examine the $K_S^0-K_L^0$ asymmetries between the decays of ${\mathbf{B}}_c\to {\mathbf{B}}_n{K}_S^0$ and ${\mathbf{B}}_c\to {\mathbf{B}}_n{K}_L^0$ with both Cabibbo-allowed and doubly Cabibbo-suppressed transitions.

23 pages, 1 figure, revised version accepted by PLB

References in corpus (4)

• Non-leptonic two-body weak decays of ${\Lambda }_c(2286)$
• Measurement of the Absolute Branching Fraction for ${\Lambda }_c^{+}\to \Lambda {\mu }^{+}{\nu }_{\mu }$
• Semileptonic decays of anti-triplet charmed baryons
• Singly Cabibbo suppressed decays of ${\Lambda }_c^{+}$ with SU(3) flavor symmetry

Cited by in corpus (9)

• Two-body hadronic weak decays of antitriplet charmed baryons
• Charmed Baryon Weak Decays with Decuplet Baryon and SU(3) Flavor Symmetry
• Topological tensor invariants and the current algebra approach: Analysis of 196 nonleptonic two-body decays of single and double charm baryons -- a review
• Semileptonic weak decays of anti-triplet charmed baryons in the light-front formalism
• A global analysis of charmless two body hadronic decays for anti-triplet charmed baryons
• Non-leptonic beauty baryon decays and $CP$-asymmetries based on $SU(3)$-Flavor analysis
• Beauty baryon non-leptonic decays into decuplet baryons and $CP$-asymmetries based on $SU(3)$-Flavor analysis
• Measurements of the branching fractions of ${\Xi }_c^0\to \Lambda K_S^0$, ${\Xi }_c^0\to {\Sigma }^0{K}_S^0$, and ${\Xi }_c^0\to {\Sigma }^{+}{K}^{-}$ decays at Belle
• Topological diagram analysis of ${\mathcal{B}}_{c\overline{3}}\to {\mathcal{B}}_{10}M$ decays in the $SU(3{)}_F$ limit and beyond