Abstract
In this work, we systematically study the mass spectra and strong decays of 1P and 2S charmed and charmed-strange baryons in the framework of non-relativistic constituent quark models. With the light quark cluster–heavy quark picture, the masses are simply calculated by a potential model. The strong decays are studied by the Eichten–Hill–Quigg decay formula. Masses and decay properties of the well-established 1S and 1P states can be reproduced by our method. Sigma _c(2800)^{0,+,++} can be assigned as a Sigma _{c2}(3/2^-) or Sigma _{c2}(5/2^-) state. We prefer to interpret the signal Sigma _c(2850)^0 as a 2S(1/2^+) state although at present we cannot thoroughly exclude the possibility that this is the same state as Sigma _c(2800)^0. Lambda _c(2765)^+ or Sigma _c(2765)^+ could be explained as the Lambda _c^+(2S) state or Sigma ^+_{c1}(1/2^-) state, respectively. We propose to measure the branching ratio of mathcal {B}(Sigma _c(2455)pi )/mathcal {B}(Sigma _c(2520)pi ) in the future, which may disentangle the puzzle of this state. Our results support Xi _c(2980)^{0,+} as the first radial excited state of Xi _c(2470)^{0,+} with J^P=1/2^+. The assignment of Xi _c(2930)^0 is analogous to Sigma _c(2800)^{0,+,++}, i.e., a Xi ^prime _{c2}(3/2^-) or Xi ^prime _{c2}(5/2^-) state. In addition, we predict some typical ratios among partial decay widths, which are valuable for experimental search for these missing charmed and charmed-strange baryons.
Highlights
0.01, where the uncertainties are statistical and systematic
The strong decay behaviors of charmed baryons have been studied by several methods, such as the heavy hadron chiral perturbation theory (HHChPT) [20,21], the chiral quark model [22,23], the 3 P0 model [24], and a non-relativistic quark model [25]
For estimating the twobody strong decays we present the values of the Simple harmonic oscillator (SHO) wave function scale for all initial and final states
Summary
We call these charmed and charmed-strange baryons just charmed baryons in the following Among these observed states, some new measurements have been performed by experiments in the past several years. New decay modes for the higher excited charmed baryon states have been found by experiment. 0.01, where the uncertainties are statistical and systematic These new measurements are very useful to understand the nature of these excited charmed baryon states. C(2765)+ was first observed by the CLEO Collaboration in the decay channel of c(2765)+ → +c π +π − [30], and confirmed by Belle in the c(2455)π mode [31,32]. 2, the masses of low-excited charmed baryons are calculated by the nonrelativistic quark potential model. Some detailed calculations and definitions are collected in the appendices
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