Standard Model and Beyond · Problem 2.2

Lie Groups, Lie Algebras, and Symmetries

Physics — Particle Physics · scalar-elastic-scattering-cross-section-plots

Problem

The CM differential and total cross sections for the elastic scattering of a Hermitian scalar of mass

m

with potential (2.22) is given in (2.59) and (2.61). Choose

m = 0.5

GeV,

\lambda = 0.3

, and

\kappa = 1.2

GeV. Plot the CM differential cross section

d\sigma/d\cos\theta

in units of

\text{fm}^2 = 10^{-26}

^2

as a function of

\cos\theta

for

s = 5m^2

6m^2

, and

7m^2

, and plot the total cross section as a function of

\sqrt{s}

for

2m < \sqrt{s} < 3m

. Use any convenient plotting program.