Jd. Jackson, Electromagnetic form factor corrections to collisional energy loss of pions and protons, and spin correction for muons - art. no. 017301, PHYS REV D, 5901(1), 1999, pp. 7301
At very high energies, the collisional energy loss of hadrons passing throu
gh matter is reduced relative to that of a point particle because of their
extended electromagnetic structures. For fermions, spin and magnetic moment
effects work in the opposite direction. Analytic and numerical results are
given for pions, muons, and protons. The reductions are small, but increas
e with energy. At 1 TeV, for example, the reduction is 2.7-3.4 % for pions
and 1.4-1.9 % for protons, depending on the material. The influence of form
factors on the so-called z(3) effect at high energies is also addressed. [
S0556-2821(98)06623-5].