On Scalar Quark Leakage through the Power-Law and Logarithmic Confining Potentials in the Klein-Gordon Equation

Abstract

Motivated from a phenomenological viewpoint, three confining potentials have been studied in the Klein-Gordon equation framework. In particular we study the phenomena of quark leakage for these potentials. The transmission coefficient values have been obtained for all the potentials, using WKB [Wentzel, Kramers & Brillouin] method and compared with potentials already discussed by previous authors. We observe that one of the potentials considered by us strongly supports the existence of free quarks because of the comparatively large values of transmission coefficients, as predicted by our model

Keywords

• Confining potentials, tunnelling phenomenon, quark leakage, transmission coefficients

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