Properties of Light Flavour Baryons in Hypercentral quark model

Abstract

The light flavour baryons are studied within the quark model using the hyper central description of the three-body system. The confinement potential is assumed as hypercentral coulomb plus power potential (hCP P ν ) with power index ν. The masses and magnetic moments of light flavour baryons are computed for different power index, ν starting from 0.5 to 1.5. The predicted masses and magnetic moments are found to attain a saturated value with respect to variation in ν beyond the power index ν > 1.0. Further we computed transition magnetic moments and radiative decay width of light flavour baryons. The results are in good agreement with known experimental as well as other theoretical models.

Electromagnetic form factors of theΔwith D-waves

“…We have c + = 4.16, c − = 1.16 and d + = d − = −0.686 [83]. The particular combination (48) with c + = c − gives f 1+ = f 1− and therefore breaks isospin symmetry for Q 2 = 0, essential for a good description of the nucleon data. The anomalous magnetic moments κ + = 1.639 and κ − = 1.823 generate the nucleon magnetic moment exactly [83].…”

“…The anomalous magnetic moments κ + = 1.639 and κ − = 1.823 generate the nucleon magnetic moment exactly [83]. The parameterization (48) was applied to the nucleon [83,93], ∆ electromagnetic form factors [3,82] as well as to the three γN → ∆ transition form factors [4,84,85,93].…”

“…The SU (6) prediction G M1 (0) = 3.65 [16] implies that, when expressed in the nucleon magneton units (µ N = e 2MN ), the ∆ + and the proton have the same magnetic moment In a previous work [3], we compared our results for G M1 (0) without D-waves with several formalisms, namely relativistic quark models [29], QCD sum rules [32,34], chiral and soliton models [30,41] and dynam-ical reaction models (DM) based on hadron degrees of freedom [11,14]. Now we compare our calculations, with D-waves included, with a comprehensive update of the more recent results based on χQSM [62], large-N c [62], SU(2) χPT [47], χPT [49], large N c -χPT [50], PQχPT [45], GBE [43], QCD sum rules [69], a quark models with sea quark contributions [40], a hypercentral quark model (HCQM) [48], a Gauge/String Duality model [44], a recent DM [42] and the U-spin symmetry [46]. For completeness.…”