1/N expansion for the Yukawa potential revisited

Abstract

In a recent paper, Moreno and Zepeda have applied the 1/N expansion to obtain an approximate analytic formula for the ground state energy of a panicle bound by a Yukawa potential. Using the method of Mlodinow and Shatz we caiculate the energies of the ground state and the first excired state of the system to show that the results provided by the i/N expansion are identical with tiiose obtained by applqing either the analytic perturbation theory or the hypenirial equations with the Hellman-Feynman theorem..Also an approximate analytic formula for the ground state energq is proposed. © 1985 The Institute of Physics.