Nonleptonic decay of Ω-hyperon in the framework of covariant confined quark model

Abstract

Ω^--hyperon is a hadron with mass М_Ω =1.67245 GeV, spin J^P =3/2⁺ and consisting of three s-quarks. The main decay channels of this baryon are the weak modes Ω^- - Lambda⁰K^- and Ω^- - Xi⁰pi^-. Experimental data from the BesIII collaboration in 2021 prompted theoretical physicists to conduct new studies of this baryon. We decided to focus on the nonleptonic mode of the weak decay Ω^- - Xi⁰pi^-. Since Ω consists of three s-quarks, it has symmetry with respect to their permutations. The decay Ω^- - Xi⁰pi^- is described by a factorizable contribution of type Ia, i.e., it can be divided into two parts: the weak baryon-baryon transition and the emission of the leptonic decay constant. As an approach to study this decay, we will use the mathematical apparatus of the covariant confined quark model, which was successfully tested on charmed and doubly charmed baryons. The covariant confined quark model makes it possible to effectively take into account the sizes of baryons and mesons involved in decay. As a result of calculations, it was shown that in a narrow range of the Ω-hyperon size parameter there is good agreement with experimental data. This result indicates that the description of nonleptonic decays of the Ω-hyperon is possible without taking into account the pole diagrams.