A mass formula for light mesons from a potential model

Details A mass formula for light mesons from a potential model A mass formula for light mesons from a potential model

2004-12-14

arxiv.org/abs/hep-ph/0412177v1

J.Phys.G28:2771-2781,2002

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 figures

Scientific paper

10.1088/0954-3899/28/11/303

The quark dynamics inside light mesons, except pseudoscalar ones, can be quite well described by a spinless Salpeter equation supplemented by a Cornell interaction (possibly partly vector, partly scalar). A mass formula for these mesons can then be obtained by computing analytical approximations of the eigenvalues of the equation. We show that such a formula can be derived by combining the results of two methods: the dominantly orbital state description and the Bohr-Sommerfeld quantization approach. The predictions of the mass formula are compared with accurate solutions of the spinless Salpeter equation computed with a Lagrange-mesh calculation method.

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