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Assume a square well as a shape of the scattering potential of a nucleus ? with...

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.

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