Mathematics and Computational Sciences (Sep 2023)
Various Parity-State Solutions of Spin-One DKP Equation with Cornell and Exponential Interaction; The Laplace Transform Approach
Abstract
We consider the spin-one DKP equation in the presence of vector Cornell and exponential interactions which are among successful interactions of particle physics. We obtain the exact analytical solutions of the former and the approximate solutions the latter via the Laplace integral transform method in terms of Hypergeometric functions for arbitrary quantum number in three spatial dimensions.
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