Question

The cross section for the inelastic version of e-p scattering is given by dσdE′dΩ=α24E2sin4(θ/2)(W2(ν,q2)cos2θ2+2W1(ν,q2)sin2θ2)dσdE′dΩ=α24E2sin4⁡(θ/2)(W2(ν,q2)cos2⁡θ2+2W1(ν,q2)sin2⁡θ2) whereW2W2 is the electromagnetic structure function andW1W1is the magnetic structure function. How can we reduce this cross section to the Rosenbluth's formula for elastic e-p scattering? dσdΩ=α24E2sin4(θ/2)E′E(G2E+τG2M1+τcos2θ2+2τG2Msin2θ2)dσdΩ=α24E2sin4⁡(θ/2)E′E(GE2+τGM21+τcos2⁡θ2+2τGM2sin2⁡θ2) I

s it as simple as choosing theW1W1andW2W2?

Answer 1

To reduce the cross section for inelastic e-p scattering to the Rosenbluth's formula, you need to choose the appropriate values for the electromagnetic and magnetic structure functions.

Step-by-step explanation:

To reduce the cross section for inelastic e-p scattering to the Rosenbluth's formula for elastic e-p scattering, you need to choose the appropriate values for the electromagnetic structure function (W2) and the magnetic structure function (W1).

The Rosenbluth's formula includes the electric and magnetic form factors (GE and GM) that describe the interaction between the electron and the proton.

By choosing the appropriate values for W1 and W2, you can derive the Rosenbluth's formula from the inelastic cross section equation.