Definition of cross sections 1 - Moodle

The SLBW formula 3In the case of the elastic scattering reaction, the cross section is the sum of threecomponents. The first two are the potential and resonant cross section terms. There is alsoan interaction term between the first two components. The interference term arises in thequantum mechanical model when the modulus of the sum of two complex quantities is taken.The SLBW formula corresponding to the elastic scattering cross section is(31)σ e (e exc ) = σ l p +σ 0 sin2φ l( )u1+u 2 +σ γn,1 10 −2sin 2 φ lγ 1 1+u 2 .The potential component σ l p is defined in term of the angular momentum quantum number las(32)σ l p = 4π̷λ 2 (2l+1) sin 2 φ lwhere the integer quantum number l is ≥ 0 and where φ l are the shift factors.ENE6101: Week 4 Cross sections – 26/37