RESONANCES IN CHARM AND BOTTOM BARYONS

Abstract

This dissertation presents the study of resonances of charmed and bottom baryons using spin-dependent potential. This potential model includes tensor interaction term, hyper- ne splitting and spin orbit terms responsible for ne structure. In the recent report, LHCb announced the discovery of ve narrow excited Ωc baryons which decays into Ξ + c K−.The Ω0 c charmed baryon is a bound state of css quarks, which can be treated as a P-wave (ss) diquark in our case and a heavy (c) quark. There are ve possible combinations of orbital angular momentum and spin for such system. The narrowness of the states signi es that it is very hard to break the two s quarks in a diquark. The mass spectrum for the Ωc(css) states has been measured by the LHCb, con rmed recently by Belle, and the masses of the states is consistently increasing with their total spin. LHCb also determined their widths through Ω◦ c Ξ + c K−decay channels, which didn't exceeds a few MeV. Five states with negative parity have been predicted, two states decay in S-wave, and three states decay in D-wave. The D-wave states might be narrower than the S-wave states. We expect the similar pattern in excited Ωb states with negative parity. In this work, we have evaluated eigenstates of the newly observed excited states of Ωc baryons and mass shifts (∆M) using these states. In the end, we have calculated the numerical values of parameters (a1 , a2 , b, c, M◦) in MeV. by using e ective Hamiltonian for Ωc baryons in the quark - diquark description