Suppression of decay widths in singly heavy baryons induced by the $U_A(1)$ anomaly

Abstract

We study strong and radiative decays of excited singly heavy baryons (SHBs) using an effective chiral Lagrangian based on the diquark picture proposed in Ref. [1]. The effective Lagrangian contains a $U_A(1)$ anomaly term, which induces an inverse mass ordering between strange and non-strange SHBs with spin-parity $1/2^{-}$. We find that the effect of the $U_A(1)$ anomaly combined with flavor-symmetry breaking modifies the Goldberger-Treiman relation for the mass difference between the ground state ${\Lambda }_Q(1/2^{+})$ and its chiral partner ${\Lambda }_Q(1/2^{-})$, and ${\Lambda }_Q(1/2^{-}){\Lambda }_Q(1/2^{+})\eta$ coupling, which results in suppression of the decay width of ${\Lambda }_Q(1/2^{-})\to {\Lambda }_Q(1/2^{+})\eta$. We also investigate the other various decays such as ${\Lambda }_Q(1/2^{-})\to {\Sigma }_Q(1/2^{+},3/2^{+})\pi \pi$, ${\Lambda }_Q(1/2^{-})\to {\Sigma }_Q(1/2^{+})\pi$, ${\Lambda }_Q(1/2^{-})\to {\Sigma }_Q(1/2^{+},3/2^{+})\gamma$, and ${\Lambda }_Q(1/2^{-})\to {\Lambda }_Q(1/2^{+}){\pi }^0$ for wide range of mass of ${\Lambda }_Q(1/2^{-})$.

arXiv comment9 pages, 6 figures

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• Axial anomaly effect to the chiral-partner structure of diquarks at high temperature
• Fate of ${\Sigma }_c$, ${\Xi }_c^{\prime }$ and ${\Omega }_c$ baryons at high temperature with chiral restoration
• Axial anomaly effect on three-quark and five-quark singly heavy baryons
• Chiral effective theory of scalar and vector diquarks revisited