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arXiv · hep-ph/0412177

A mass formula for light mesons from a potential model

F. Brau·C. Semay
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Abstract

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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F. Brau, C. Semay. 2004-12-14. A mass formula for light mesons from a potential model. https://doi.org/10.1088/0954-3899%2F28%2F11%2F303

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