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Electromagnetic form factors of nucleons in a relativistic square-root potential model of independent quarks

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Abstract

The nucleon electromagnetic form factorsG PE (q2),G PM (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 PE (q2) and G A (q2) come out as [〈r 2〉 PE ]1/2=0.86 fm and 〈r 2A 〉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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Authors and Affiliations

  1. Department of Physics, Berhampur University, 760 007, Berhampur, India

    S N Jena & M R Behera

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  1. S N Jena
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  2. M R Behera
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Jena, S.N., Behera, M.R. Electromagnetic form factors of nucleons in a relativistic square-root potential model of independent quarks. Pramana - J. Phys. 47, 233–248 (1996). https://doi.org/10.1007/BF02847767

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  • DOI: https://doi.org/10.1007/BF02847767

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