Determination of wave function is very essential in the calculation of static and dynamic properties like masses and decay constants of pseudo scalar mesons and masses of vector mesons . We useDalgarno's perturbation theory and Variationally Improved Perturbation Theory (VIPT) to solve the Schroedinger equation in a QCD inspired potential model with the Cornell potential which consists of coulomb and linear potential. We use both the options like Columbic parent firstly and then linear parent while using the VIPT method. Comparison of both these methods and also with experimental results are done in the calculation of masses and decay constants.
In this work,we investigate the masses of a few heavy-light mesons with variational method,taking into account the two-loop effects in the static Cornell potential. Specifically,we consider two wave-function,Gaussian and Coulomb. Our analysis suggests that phenomenologically such approach is more successful in the Heavy flavoured meson sector than the stationary state perturbation theory and other approximation methods.
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