• M R Behera

      Articles written in Pramana – Journal of Physics

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

      S N Jena M R Behera S Panda

      More Details Abstract Fulltext PDF

      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.

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