Scattering theory — CSIR Net PYQ (Question 4)

Question

A particle is scattered by a central potential

V (r) = V_{0} r e^{- μ r}

, where

V_{0}

and

μ

are positive constants. If the momentum transfer

q

is such that

q = ∣ q ∣ ≫ μ

, the scattering cross-section in the Born approximation, as

q \to \infty

, depends on

q

as [You may use

\int x^{n} e^{a x} d x = \frac{d ^{n}}{d a ^{n}} \int e^{a x} d x

]

Accepted Answer

Option 1

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