An Alternative Approach to Energy Eigenvalue Problems of Anharmonic Potentials

Abstract

Energy eigenvalues of quartic and sextic type anharmonic potentials are obtained by using an alternative method called asymptotic Taylor expansion method (ATEM) which is an approximate approach based on the asymptotic Taylor series expansion of a function. It is shown that the energy eigenvalues found by ATEM are in excellent agreement with the existing results.

Masses of Heavy and Light Scalar Tetraquarks in a Non-relativistic Quark Model

“…Second, we regard the diquarks as point-like objects and use a diquark-antidiquark interaction Hamiltonian in order to obtain the tetraquark masses. In both steps we solve the two-body Schrödinger equation by performing a Taylor expansion [18,19,20] or by using a variational method. We compare the values of the heavy tetraquark masses with the values obtained in previous works and discuss some possible experimental candidates.…”