$\Xi$ baryon strong decays in a chiral quark model

The strong decays of Ξ baryons up to N=2 shell are studied in a chiral quark model. The strong decay properties of these well-established ground decuplet baryons are reasonably described. We find that (i) Ξ(1690) and Ξ(1820) could be assigned to the spin-parity JP=1/2- state |70,82,1,1,12-⟩ and the spin-parity JP=3/2- state |70,82,1,1,32-⟩, respectively. Slight configuration mixing might exist in these two negative parity states. (ii) Ξ(1950) might correspond to several different Ξ resonances. The broad states (Γ∼100 MeV) observed in the Ξπ channel could be classified as the pure JP=5/2- octet state |70,84,1,1,52-⟩ or the mixed state |Ξ12-⟩3 with JP=1/2-. The Ξ resonances with moderate width (Γ∼60 MeV) observed in the Ξπ channel might correspond to the JP=1/2+ excitation |56,140,2,2,12+⟩. The second orbital excitation |56,140,2,2,32+⟩ and the mixed state |Ξ12-⟩1 might be candidates for the narrow width state observed in the ΛK¯ channel; however, their spin-parity numbers are incompatible with the moment analysis of the data. (iii) Ξ(2030) could not be assigned to either any spin-parity JP=7/2+ states or any pure JP=5/2+ configurations. It seems to favor the |70,82,2,2,32+⟩ assignment; however, its spin conflicts with the moment analysis of the data. To find more Ξ resonances, the observations in the Ξ(1530)π and Σ(1385)K¯ channels are necessary.

Note:

14 pages, 7 figures

14.20.Lq
12.39.Jh
14.20.Mr
13.30.-a
quark model: chiral
baryon: hadronic decay
quark model: nonrelativistic
baryon: decuplet
excited state
Sigma(1385)

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