Masses of Charm and Beauty Baryons in the Constituent Quark Model

Abstract

The masses of the ground state heavy baryons are studied using the hypercentral approach. The considered potential is a combination of Coulombic, linear confining and harmonic oscillator terms. An improved form of the hyperfine interaction and isospin dependent quark potential is introduced. By solving the Schrödinger equation for three particles system, we calculate the ground state masses of the baryons containing one, two and three heavy quarks. The obtained results are very close to the ones obtained in experiments or in the other works.

Masses of Charmed and Bottom Tetraquarks in the Non-Relativistic Quark Model

“…[4], while the hyperfine potential parameters are taken from Refs. [5,8]. The obtained masses of scalar diquark are shown in Table 1, and compared with the ones of other theoretical works [3,11,12].…”

“…(10) in Eq. (9) we can get α = √ 2ma, and δ = 1 [5,10], and regarding ω = 2a m for the oscillating term in Eq. (2), the energy eigenvalue is obtained as follows…”

“…In order to solve Eq. (9) we assume the following transformation for l = 0 (the ground state) [5,10] …”

Study of Heavy Strange Baryons in a Hypercentral Quark Model

“…In the hypercentral constituent quark model (hCQM), the quark potential, V is assumed to depend only on the hyperradius x only that is to be hypercentral and therefore the remaining hyperradial part of the wave function is determined by hypercentral Schrödinger equation as follows [4][5][6] […”

“…During last few years a significant experimental progress and theoretical activities have been achieved in charmed and bottom baryon spectroscopy [1][2][3]. The masses of most of heavy baryons have not been measured yet experimentally.…”