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 (34)

• Charmed Baryon Physics Circa 2021
• Two-body hadronic weak decays of antitriplet charmed baryons
• Rescattering mechanism of weak decays of double-charm baryons
• Charmed Baryon Weak Decays with Decuplet Baryon and SU(3) Flavor Symmetry
• Weak Decays of Antitriplet Charmed Baryons from the Perspective of Flavor Symmetry
• Final-state rescattering mechanism of charmed baryon decays
• Equivalent $SU(3{)}_f$ approaches for two-body anti-triplet charmed baryon decays
• 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
• Search for $CP$ violation and measurement of branching fractions and decay asymmetry parameters for ${\Lambda }_c^{+}\to \Lambda h^{+}$ and ${\Lambda }_c^{+}\to {\Sigma }^0{h}^{+}$ ($h=K,\pi$)
• First Measurement of the Decay Asymmetry in the pure W-boson-exchange Decay ${\Lambda }_c^{+}\to {\Xi }^0{K}^{+}$
• Time-reversal asymmetries and angular distributions in ${\Lambda }_b\to \Lambda V$
• Nonleptonic three-body charmed baryon weak decays with H(15)
• Beauty baryon non-leptonic decays into decuplet baryons and $CP$-asymmetries based on $SU(3)$-Flavor analysis
• Measurement of Branching Fractions of Singly Cabibbo-suppressed Decays ${\Lambda }_c^{+}\to {\Sigma }^0{K}^{+}$ and ${\Sigma }^{+}{K}_S^0$
• 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
• Generation of $SU(3)$ sum rule for charmed baryon decay
• Measurements of branching fractions of ${\Lambda }_c^{+}\to {\Sigma }^{+}\eta$ and ${\Lambda }_c^{+}\to {\Sigma }^{+}{\eta }^{\prime }$ and asymmetry parameters of ${\Lambda }_c^{+}\to {\Sigma }^{+}{\pi }^0$, ${\Lambda }_c^{+}\to {\Sigma }^{+}\eta$, and ${\Lambda }_c^{+}\to {\Sigma }^{+}{\eta }^{\prime }$
• Measurements of branching fractions and asymmetry parameters of ${\Xi }_c^0\to \Lambda {\bar{K}}^{\ast 0}$, ${\Xi }_c^0\to {\Sigma }^0{\bar{K}}^{\ast 0}$, and ${\Xi }_c^0\to {\Sigma }^{+}{K}^{\ast -}$ decays at Belle
• Measurements of the branching fractions of ${\Xi }_c^0\to {\Xi }^0{\pi }^0$, ${\Xi }_c^0\to {\Xi }^0\eta$, and ${\Xi }_c^0\to {\Xi }^0{\eta }^{\prime }$ and asymmetry parameter of ${\Xi }_c^0\to {\Xi }^0{\pi }^0$
• Generation of isospin sum rules in heavy hadron weak decays
• Isospin sum rules in charmed baryon weak decays
• Observations of the singly Cabibbo-suppressed decays ${\Xi }_c^{+}\to p{K}_S^0$, ${\Xi }_c^{+}\to \Lambda {\pi }^{+}$, and ${\Xi }_c^{+}\to {\Sigma }^0{\pi }^{+}$ at Belle and Belle II
• Topological diagram analysis of ${\mathcal{B}}_{c\overline{3}}\to {\mathcal{B}}_{10}M$ decays in the $SU(3{)}_F$ limit and beyond
• Large CP violation in charmed baryon decays
• Observation of the Singly Cabibbo-Suppressed Decay ${\Lambda }_c^{+}\to p{\pi }^0$
• First measurements of the branching fractions for the decay modes ${\Xi }_c^0\to \Lambda \eta$ and ${\Xi }_c^0\to \Lambda {\eta }^{\prime }$ and search for the decay ${\Xi }_c^0\to \Lambda {\pi }^0$ using Belle and Belle II data
• Weak decays of bottom-charm baryons: ${\mathcal{B}}_{bc}\to {\mathcal{B}}_{b}P$
• Revisiting heavy-flavor conserving weak decays of charmed baryons within the nonrelativistic quark model
• Puzzles in charmed baryon semileptonic decays with $SU(3{)}_F$ flavor symmetry and lattice inputs
• Measurement of branching fractions of ${\Lambda }_c^{+}$ decays to ${\Sigma }^{+}\eta$ and ${\Sigma }^{+}{\eta }^{\prime }$
• Measurements of the branching fractions of ${\Xi }_c^{+}\to {\Sigma }^{+}{K}_S^0$, ${\Xi }_c^{+}\to {\Xi }^0{\pi }^{+}$, and ${\Xi }_c^{+}\to {\Xi }^0{K}^{+}$ at Belle and Belle II