Mass spectra of doubly heavy baryons in the relativistic quark model

Abstract

Mass spectra of baryons consisting of two heavy (b or c) and one light quarks are calculated in the framework of the relativistic quark model. The light quark-heavy diquark structure of the baryon is assumed. Under this assumption the ground and excited states of both the diquark and quark-diquark bound system are considered.The quark-diquark potential is constructed. The light quark is treated completely relativistically, while the expansion in the inverse heavy quark mass is used revealing the close similarity with the mass spectra of B and D mesons. We find that the relativistic treatment of the light quark plays an important role. The level inversion of the p-wave excitations of the light quark in doubly heavy baryons is discussed.

Hyperfine mixing in semileptonic decay of doubly heavy baryons

“…For the sake of comparison we also show the results of the non-relativistic calculation in Ref. [7], that give results that are about 100 MeV smaller that ours, and the ones obtained in three different relativistic approaches [10,28,29]. On the experimental side the SELEX Collaboration claimed evidence for the Ξ + cc baryon, in the Λ + c K − π + and pD + K − decay modes, with a mass of M Ξ + cc = 3519 ± 1 MeV/c 2 [30].…”

“…[2]. However, masses are very insensitive to hyperfine mixing and most mass calculations [3,4,5,6,7,8,9,10,11,12,13,14] just ignore the mixing and use the S h -basis.…”

Establishing low-lying doubly charmed baryons

“…We refer to the review [7] for more discussions on this point. The doubly charmed baryons have been extensively studied using various theoretical methods, such as various quark models [8], the bag model [9], QCD sum rules [10], lattice QCD simulation [11], and others (for a incomplete list of works see Refs. [12]).…”

Semileptonic decays of heavy baryons in the relativistic quark model

“…We use the same conventions for the construction of the quark-quark and quark-diquark interactions in the baryon. The quasipotential is then defined by [6,7,16] (a) for the quark-quark (qq) interaction…”