In: Physics
Assume a square well as a shape of the scattering potential of a nucleus ? with ?−wave neutrons of a potential depth of ?_0=50 MeV and a potential radius of ?=6.5 fm.
a) Show that the internal wave function is given by ?_0(?)=?sin(??) with ?= √2?(?−?_0)/ℏ
b) Show with calculations, whether there are bound states of the compound system ?+? and what are their positions on the energy axis.