Strong Decays of Charmed Baryons in Heavy Hadron Chiral Perturbation Theory: An Update

Abstract

We first give a brief overview of the charmed baryon spectroscopy and discuss their possible structure and spin-parity assignments in the quark model. With the new Belle measurement of the widths of ${\Sigma }_c(2455)$ and ${\Sigma }_c(2520)$ and the recent CDF measurement of the strong decays of ${\Lambda }_c(2595)$ and ${\Lambda }_c(2625)$, we give updated coupling constants in heavy hadron chiral perturbation theory. We find $g_2=0.565_{-0.024}^{+0.011}$ for $P$-wave transitions between $s$-wave and $s$-wave baryons, and $h_2$, one of the couplings responsible for $S$-wave transitions between $s$-wave and $p$-wave baryons, is extracted from ${\Lambda }_c(2595{)}^{+}\to {\Lambda }_c^{+}\pi \pi$ to be $0.63\pm 0.07$. It is substantially enhanced compared to the old value of order 0.437. With the help from the quark model, two of the couplings $h_{10}$ and $h_{11}$ responsible for $D$-wave transitions between $s$-wave and $p$-wave baryons are determined from ${\Sigma }_c(2880)$ decays. There is a tension for the coupling $h_2$ as its value extracted from ${\Lambda }_c(2595{)}^{+}\to {\Lambda }_c^{+}\pi \pi$ will imply ${\Xi }_c(2790{)}^0\to {\Xi }_c^{\prime }\pi$ and ${\Xi }_c(2815{)}^{+}\to {\Xi }_c^{\ast }\pi$ rates slightly above the current limits. It is conceivable that SU(3) flavor symmetry breaking can help account for the discrepancy.

18 pages, 1 figure. References added, to appear in Phys. Rev. D. arXiv admin note: text overlap with arXiv:1508.07233, arXiv:hep-ph/0610283

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