• Mass and decay constant of the (qq)-pion in a relativistic-potential model of independent quarks

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      https://www.ias.ac.in/article/fulltext/pram/051/06/0711-0725

    • Keywords

       

      Independent-quark model; chiral symmetry; one-gluon exchange; center of mass correction; pion mass; pion decay constant

    • Abstract

       

      Under the assumption that a meson is an assembly of independent quark and antiquark, confined in a first approximation by an effective potential$$V_q (r) = \raise.5ex\hbox{$\scriptstyle 1$}\kern-.1em/ \kern-.15em\lower.25ex\hbox{$\scriptstyle 2$} (1 + \gamma ^0 )(a^2 r + V_0 )$$ which presumably represents the non-perturbative gluon interactions, the mass and decay constant of the (qq)-pion together with the masses of ρ and ω-mesons are calculated by considering perturbatively the corrections due to the possible residual interaction such as quark-pion coupling arising out of the requirement of chiral symmetry and quark-gluon coupling arising out of one-gluon exchange and that due to the spurious motion of center of mass of the meson core.This results in the physical mass of the (qq)-pion in consistency with that of the PCAC-pion and the pion decay constant in a reasonable agreement with experiment.

    • Author Affiliations

       

      S N Jena1 M R Behera1 S Panda1 2

      1. Department of Physics, Berhampur University, Berhampur, Orissa - 760 007, India
      2. Department of Physics, Science College, Hinjilicut, Orissa - 761 102, India
    • Dates

       
  • Pramana – Journal of Physics | News

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