Electromagnetic form factors of nucleons in a relativistic square-root potential model of independent quarks |
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Authors: | S N Jena M R Behera |
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Institution: | (1) Department of Physics, Berhampur University, 760 007 Berhampur, India |
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Abstract: | The nucleon electromagnetic form factorsG
E
P
(q2),G
M
P
(q2) and the axial-vector form factor GA(q2) are studied in a relativistic model of independent quarks confined by an equally mixed scalar-vector square root potentialV
q(r)=1/2(1+γ
0)(ar
1/2+ν
0) taking into account the appropriate centre-of-mass corrections. The respective root-mean-square radii associated withG
E
P
(q2) and G
A
(q2) come out as 〈r
2〉
E
P
]1/2=0.86 fm and 〈r
A
2
〉1/2=0.88 fm. Restoration of chiral symmetry in this model is discussed to derive the pion-nucleon form factorG
πNN(q2) and consequently the pion-nucleon coupling constant is obtained asg
πNN(q2)=12.81 as compared tog
πNN(q2)exp⋍13. |
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Keywords: | Dirac equation square-root potential electromagnetic form factors axial-vector form factor magnetic moments charge-radii axial-vector coupling constant centre-of-mass correction pion-nucleon form factor |
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