Chapter 11, Problem 13P

(a)

To determine

The equation for the equilibrium separation of nuclei by minimizing the effective potential $U_{eff}\left(r\right)$.

(b)

To determine

The expression for the corrected oscillator frequency $\omega$ and show that the fractional change in frequency is given by $\frac{\Delta \omega }{{\omega }_0}\approx \frac{3l\left(l+1\right){\hslash }^2}{2{\mu }^2{\omega }_0^2{R}_0^4}$.