Mean-field baryon magnetic moments and sumrules

Abstract

PACS. 11.15.Pg -Expansions for large numbers of components (e.g., 1/Nc expansions) . PACS. 11.55.Hx -Sum rules. PACS. 12.39.-x -Phenomenological quark models.Abstract. -New developments have spurred interest in magnetic moments (µ-s) of baryons. The measurement of some of the decuplet µ-s and the findings of new sumrules from various methods are partly responsible for this renewed interest. Our model, inspired by large colour approximation, is a relativistic self consistent mean field description with a modified Richardson potential and is used to describe the µ-s and masses of all baryons with up (u), down (d) and strange (s) quarks. We have also checked the validity of the Franklin sumrule (referred to as CGSR in the literature) and sumrules of Luty, March-Russell and White. We found that our result for sumrules matches better with experiment than the non-relativistic quark model prediction.We have also seen that quark magnetic moments depend on the baryon in which they belong while the naive quark model expects them to be constant.c EDP Sciences

Properties of light flavour baryons in hypercentral quark model

“…Theoretically, there exist serious discrepancies between the quark model and experimental results particularly in the predictions of their magnetic moments [11,12,13]. Prediction of transition magnetic moments between the decuplet to octet ( is as important as the prediction of the masses and magnetic moments of the baryons (octet and decuplet) for testing of any model hypothesis and understanding the dynamics of quarks and meaning of the constituent mass of the quarks in the hadronic scale.…”

Bound for entropy and viscosity ratio of strange quark matter

“…We use a modified Richardson potential with different scales for confinement ( ∼ 350 MeV ) and asymptotic freedom (100 MeV ) which has been tested by fitting the octet and decuplet masses and magnetic moments [10,11] and the temperature dependence of the gluon mass is taken from Alexanian and Nair [12].…”

Properties of Light Flavour Baryons in Hypercentral quark model

“…Theoretically, there exist serious discrepancies between the quark model and experimental results particularly in the predictions of their magnetic moments [11,12,13]. Prediction of transition magnetic moments between the decuplet to octet (…”

“…967.41 938.27 [51] 1239.94 1192.64 [51] 1.0 931.08 866.00 [52] 1203.29 1022.00[52] 1.5 924.27 938.27 [1] 1195.98 1192. 64[1] 0.5 ddu(n) 1067.24 939.00 [11] The computed magnetic moments of the octet and decuplet baryons are compared with the known experimental results as well as with other model predictions in Table 3 and 4 respectively. Present results for the choice of ν ≈ 0.7 are found to be in agreement with the known experimental values as well as with other model predictions.…”