Aquantum particle of mass m is bound in a spherically symmetric potential well
v(r)= - vo/cosh(r/b) , parameters vo> 0, b> 0

to actually solve the schrödinger equation with this potential would be an involved problem. we however know that the particle is sufficiently "heavy" to amply satisfy the condition
h^2/mb^2< which should allow for an approximate solution. it is known that the particle occupies some stationary state with the magnetic quantum number m = -3 that has the lowest possible energy for this value of m in the given potential. based on this information and taking into account condition (2)

(a) sketch the overall behavior of the potential and indicate the spatial region of interest for specific case (2).
(b) find (approximately) energy e of this particle in the described state under all given conditions as an explicit function of system parameters.
(c) if the found energy level e can be shared by more than one stationary state, determine the overall degeneracy of this very level e in the same approximate treatment?