Isospectral Potentials and Quarkonia Low Energy Spectra: A Possibility of simultaneous fit to Masses and leptonic decay widths"

Abstract

Some of the non-relativistic QQ/bar interaction potentials and its isospectral partner-potentials have been employed to evaluate the masses and leptonic decay widths of Charmonium and Upsilon states. An attempt has been made to develop a prescription to provide a simultaneous fit to Masses and leptonic decay widths of Quarkonia. Preliminary calculation shows that the class of isospectral-potentials corresponding to: V(r)= -(alphas/r)+arn appears to yield the desired results. The various associated theoretical and phenomenological issues are discussed in light of recent data. The possible relation with the 'Wrinkled potentials' is also discussed.

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