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Pion mass; chiral symmetry; centre-of-mass correction; one-gluon exchange

Pion mass and its decay constant have been studied in a chiral symmetric potential model of independent quarks. The non-perturbative multi-gluon interaction which is responsible for quark confinement in a hadron is phenomenologically represented here by an effective potentialU(r) = 1/2(1 +γ⁰)(ar² +V₀). The residual interactions due to quark-pion coupling arising out of the chiral symmetry preservation and that due to quark-gluon coupling arising out of single-gluon exchange are treated as low order perturbations. The centre of mass correction is also taken into account appropriately. This leads to the$$(q\bar q) - pion$$ mass in consistency with that of the PCAC-pion and the pion decay constant in reasonable agreement with experiment.

N Barik¹ B K Dash² P C Dash³

1. Department of Physics, Utkal University, Bhubaneswar, Orissa - 751 004, India
2. Department of Physics, Dhenkanal College, Dhenkanal, Orissa, India
3. Department of Physics, S V M College, Jagatsinghpur, Orissa, India

Published

December 1987

Manuscript received

29 December 1986

Manuscript revised

1 May 1987