Ω baryon spectrum and their decays in a constituent quark model

Abstract

Combining the recent developments of the observations of Ω sates we calculate the Ω spectrum up to the N = 2 shell within a nonrelativistic constituent quark potential model. Furthermore, the strong and radiative decay properties for the Ω resonances within the N = 2 shell are evaluated by using the masses and wave functions obtained from the potential model. It is found that the newly observed Ω(2012) resonance is most likely to be the spin-parity J P = 3/2 − 1P-wave state Ω(1 2 P 3/2 − ), it also has a large potential to be observed in the Ω(1672)γ channel. Our calculation shows that the 1P-, 1D-, and 2S -wave Ω baryons have a relatively narrow decay width of less than 50 MeV. Based on the obtained decay properties and mass spectrum, we further suggest optimum channels and mass regions to find the missing Ω resonances via the strong and/or radiative decay processes.

Triply charmed and bottom baryons in a constituent quark model

“…In this work, a simplified phenomenological spin-orbit potential is adopted as that suggested in the literature [54,68,69], i.e.,…”

“…In this work, we use the same value of parameter α S O as in Ref. [54]. The quark model parameters adopted in present work are collected in Table I.…”

“…To work out the spatial wave functions, in this work we expand them in terms of Gaussian basis functions. The spatial wave function ψ σ NLM L (ρ, λ) may be expressed as [54]…”

“…The coefficients C n ρ l ρ m ρ n λ l λ m λ in the spatial wave function ψ σ NLM L (ρ, λ) up to the N = 2 shell have been given in our previous work [54]. In the above equation, ψ n ρ l ρ m ρ (ρ) and ψ n λ l λ m λ (λ) stand for the spatial wave functions of the ρand λ-mode excitations, respectively.…”

“…In this work, radiative decays of the Ω ccc and Ω bbb states are calculated within a nonrelativistic constituent quark model developed in our previous study of the heavy quarkonia [49,52]. This model was also successfully extended to deal with the radiative decays of the B c meson states [53], Ω baryon states [54], singly baryon states [55][56][57], and doubly heavy baryon states [58,59]. This paper is organized as follows.…”