A spinless particle of mass M is scattered by a central potential of finite range such that the wave function at low ene

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A Spinless Particle Of Mass M Is Scattered By A Central Potential Of Finite Range Such That The Wave Function At Low Ene 1 (65.85 KiB) Viewed 23 times

A spinless particle of mass M is scattered by a central potential of finite range such that the wave function at low energies and for large r is well described by Y(r) = exp(ikz) + sind exp(ikr)/(kr), where d is a phase shift. (a) Write down an expression for the total low-energy cross section in terms of the quantities defined. (b) Find the phase shift d if the slow particle scatters off a central potential of the form V(r) = Vo, for r <a, V(r) = 0, for r > a.