Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-10-23
Phys.Rev.D75:014006,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
22 pages, the coupling g_2 is slightly modified, Tables 5 and 6 are updated; version to appear in PRD
Scientific paper
10.1103/PhysRevD.75.014006
Strong decays of charmed baryons are analyzed in the framework of heavy hadron chiral perturbation theory (HHChPT) in which heavy quark symmetry and chiral symmetry are synthesized. HHChPT works excellently for describing the strong decays of s-wave charmed baryons. For L=1 orbitally excited states, two of the unknown couplings, namely, $h_2$ and $h_{10}$, are determined from the resonant $\Lambda_c^+\pi\pi$ mode produced in the $\Lambda_c(2593)$ decay and the width of $\Sigma_c(2800)$, respectively. Predictions for the strong decays of the p-wave charmed baryon states $\Lambda_c(2625)$, $\Xi_c(2790)$ and $\Xi_c(2815)$ are presented. Since the decay $\Lambda_c(2593)^+\to\Lambda_c^+\pi\pi$ receives non-resonant contributions, our value for $h_2$ is smaller than the previous estimates. We also discuss the first positive-parity excited charmed baryons. We conjecture that the charmed baryon $\Lambda_c(2880)$ with $J^P=\frac52^+$ is an admixture of $\Lambda_{c2}(\frac52^+)$ with and $\tilde\Lambda''_{c3}(\frac52^+)$; both are L=2 orbitally excited states. The potential model suggests $J^P=\frac52^-$ or $\frac32^+$ for $\Lambda_c(2940)^+$. Measurements of the ratio of $\Sigma_c^*\pi/\Sigma_c\pi$ will enable us to discriminate the $J^P$ assignments for $\Lambda_c(2940)$. We advocate that the $J^P$ quantum numbers of $\Xi_c(2980)$ and $\Xi_c(3077)$ are $\frac12^+$ and $\frac52^+$, respectively. Under this $J^P$ assignment, it is ready to understand why $\Xi_c(2980)$ is broader than $\Xi_c(3077)$.
Cheng Hai-Yang
Chua Chun-Khiang
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