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

• # Fulltext

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

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

• # Pramana – Journal of Physics

Volume 96, 2022
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019