# Homework Help: Partial width for elastic scattering

1. Jul 4, 2015

### Yaste

1. The problem statement, all variables and given/known data
A beam of neutrons hit a target of heavy nuclei with spin $J_N = 0$ with resonance when the energy of the incident beam is 250eV, in the cross section distribution with a maximum of 1300 barns. The width of the maximum is 20 eV. Find the partial width of resonance for the elastic scattering.

2. Relevant equations

$$\sigma_{tot} = \dfrac{\pi}{k^2}\dfrac{g\Gamma_i \Gamma}{(E-E_0)^2+\Gamma^2/4}$$

$$g = \dfrac{2J+1}{(2s_1+1)(2s_2+1)}$$

3. The attempt at a solution

The only thing I don't know is the $g$ in the previous equation. That's the only thing I need in order to solve the problem. Any tips would be appreciated.

2. Jul 9, 2015