MAGNETIC MOMENTS OF OCTET BARYONS IN A RELATIVISTIC QUARK MODEL WITH CHIRAL SYMMETRY

1993 ◽  
Vol 08 (25) ◽  
pp. 4563-4576 ◽  
Author(s):  
S.N. JENA ◽  
S. PANDA
Keyword(s):  
Quark Model ◽  
Chiral Symmetry ◽  
Effective Potential ◽  
Magnetic Moments ◽  
Center Of Mass ◽  
Relativistic Quark Model ◽  
First Approximation ◽  
Mass Correction ◽  
Experimental Values ◽  
Octet Baryons

Under the assumption that baryons are an assembly of independent quarks confined in a first approximation by an effective potential [Formula: see text], which presumably represents the nonperturbative gluon interactions, the magnetic moments of octet baryons have been calculated by considering perturbatively the contributions of the residual quark-pion coupling arising out of the requirement of chiral symmetry over and above the necessary center-of-mass correction. The results so obtained agree quite well with the corresponding experimental values.

Contributions of the Pion-Cloud to the Magnetic Moments of Nucleon Octet in a Relativistic Quark Model

1998 ◽  
Vol 07 (04) ◽  
pp. 425-440 ◽  
Author(s):  
S. N. Jena ◽  
M. R. Behera ◽  
S. Panda
Keyword(s):  
Quark Model ◽  
Effective Potential ◽  
Magnetic Moments ◽  
Mass Motion ◽  
Relativistic Quark Model ◽  
Coupling Constant ◽  
Centre Of Mass ◽  
Pion Cloud ◽  
Pion Nucleon ◽  
Octet Baryons

The contributions of the pion-cloud to the magnetic moments of the nucleon octet is investigated in a chiral symmetric independent-quark model. The effective potential representing phenomenologically the confining interaction due to the non-perturbative multigluon mechanism is taken in the form [Formula: see text]. The pion-nucleon coupling constant [Formula: see text] comes out to be 14.43, as compared to the experimental value 14.1. The results obtained for the magnetic moments of the octet baryons, after incorporating the centre-of-mass motion and the low-order pionic corrections, agree reasonably with the experiment.

A QUARK-MODEL FIT FOR THE ELECTROMAGNETIC PROPERTIES OF OCTET BARYONS

1992 ◽  
Vol 07 (12) ◽  
pp. 2841-2861 ◽  
Author(s):  
S. N. JENA ◽  
S. PANDA
Keyword(s):  
Quark Model ◽  
Magnetic Moments ◽  
Center Of Mass ◽  
Axial Vector ◽  
Form Factors ◽  
Electromagnetic Properties ◽  
Coupling Constant ◽  
Vector Coupling ◽  
Pion Nucleon ◽  
Octet Baryons

A simple independent-quark model based on the Dirac equation with an equally mixed scalar–vector linear confining potential model is used to obtain a fit for the electromagnetic properties — like the magnetic moments, charge radii and axial-vector coupling-constant ratios — of octet baryons, taking into account the appropriate center-of-mass corrections. This fit is extended to include the quark-core contributions to the nucleon electromagnetic form factors [Formula: see text], [Formula: see text], [Formula: see text] and the axial-vector form factor GA(q2). The respective root-mean-square radii associated with [Formula: see text] and GA(q2) come out as [Formula: see text] and [Formula: see text]. The possibility of restoring in this model the chiral symmetry in the usual way is discussed and the pion-nucleon coupling constant is found as gπ NN = 13.72 as compared to (gπ NN ) exp ≃ 13.

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