Charm-strange baryon strong decays in a chiral quark model

preprint2012arXivOpen access

Abstract

The strong decays of charm-strange baryons up to N=2 shell are studied in a chiral quark model. The theoretical predictions for the well determined charm-strange baryons, Ξc∗(2645)Ξ_c^*(2645), Ξc(2790)Ξ_c(2790) and Ξc(2815)Ξ_c(2815), are in good agreement with the experimental data. This model is also extended to analyze the strong decays of the other newly observed charm-strange baryons Ξc(2930)Ξ_c(2930), Ξc(2980)Ξ_c(2980), Ξc(3055)Ξ_c(3055), Ξc(3080)Ξ_c(3080) and Ξc(3123)Ξ_c(3123). Our predictions are given as follows. (i) Ξc(2930)Ξ_c(2930) might be the first PP-wave excitation of Ξc′Ξ_c' with JP=1/2−J^P=1/2^-, favors the ∣Ξc′ 2Pλ1/2−>|Ξ_c'\ ^2P_λ1/2^-> or ∣Ξc′ 4Pλ1/2−>|Ξ_c'\ ^4P_λ1/2^-> state. (ii) Ξc(2980)Ξ_c(2980) might correspond to two overlapping PP-wave states ∣Ξc′ 2Pρ1/2−>|Ξ_c'\ ^2P_ρ1/2^-> and ∣Ξc′ 2Pρ3/2−>|Ξ_c'\ ^2P_ρ3/2^->, respectively. The Ξc(2980)Ξ_c(2980) observed in the Λc+KˉπΛ_c^+\bar{K}π final state is most likely to be the ∣Ξc′ 2Pρ1/2−>|Ξ_c'\ ^2P_ρ1/2^-> state, while the narrower resonance with a mass m≃2.97m\simeq 2.97 GeV observed in the Ξc∗(2645)πΞ_c^*(2645)π channel favors to be assigned to the ∣Ξc′ 2Pρ3/2−>|Ξ_c'\ ^2P_ρ3/2^-> state. (iii) Ξc(3080)Ξ_c(3080) favors to be classified as the ∣Ξc Sρρ1/2+>|Ξ_c\ S_{ρρ} 1/2^+> state, i.e., the first radial excitation (2S) of ΞcΞ_c. (iv) Ξc(3055)Ξ_c(3055) is most likely to be the first DD-wave excitation of ΞcΞ_c with JP=3/2+J^P=3/2^+, favors the ∣Ξc 2Dλλ3/2+>|Ξ_c\ ^2D_{λλ} 3/2^+> state. (v) Ξc(3123)Ξ_c(3123) might be assigned to the ∣Ξc′ 4Dλλ3/2+>|Ξ_c'\ ^4D_{λλ} 3/2^+>, ∣Ξc′ 4Dλλ5/2+>|Ξ_c'\ ^4D_{λλ} 5/2^+>, or ∣Ξc 2Dρρ5/2+>|Ξ_c\ ^2D_{ρρ} 5/2^+> state. As a by-product, we calculate the strong decays of the bottom baryons Σb±Σ_b^{\pm}, Σb∗±Σ_b^{*\pm} and Ξb∗Ξ_b^*, which are in good agreement with the recent observations as well.

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