• The$$(q\bar q) - pion$$ and its decay constant in a chiral potential modeland its decay constant in a chiral potential model

• Fulltext

https://www.ias.ac.in/article/fulltext/pram/029/06/0543-0557

• Keywords

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

• Abstract

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.

• Author Affiliations

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

• Pramana – Journal of Physics

Volume 94, 2020
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