Inelastic Hadron Nucleus Cross Sections

Many h-N inelastic cross sections have been paramaterized. Here s is the Mandlestan variable, sig is short for sigma. The total and elastic cross sections are given in microbarns the inelastic cross section in millibarns just because that is how they are usually given.

p on p

s_p^1/2=s^1/2(1-x_F)
E_lab=[(s_p-2m_p²)²/ (2m_p²)²- m_p²]^1/2
sig^tot=45.64+239/E_lab^4.33+ 0.414*[ln(E_lab)]²-3.44ln(E_lab)
sig^elastic=11.9+26.9/E_lab^1.21+ 0.169*[ln(E_lab)]²-1.85ln(E_lab)
sig^inelastic=1000(sig^tot-sig^elastic)

Sigma- on p

s_p^1/2=s^1/2(1-x_F)
E_lab=[(s_p-m_sigma-²- m_p²)²/ (2m_p²)²- m_sigma-²]^1/2
sig^tot=45.64+239/E_lab^4.33+ 0.414*[ln(E_lab)]²-3.44ln(E_lab)
sig^elastic=11.9+26.9/E_lab^1.21+ 0.169*[ln(E_lab)]²-1.85ln(E_lab)
sig^inelastic=1000(0.9595sig^tot- 0.557sig^elastic)

Pi- on p

s_p^1/2=s^1/2(1-x_F)
E_lab=[(s_p-m_pi-²-m_p²)²/ (2m_p²)²- m_pi-²]^1/2
sig^tot=45.64+239/E_lab^4.33+ 0.414*[ln(E_lab)]²-3.44ln(E_lab)
sig^elastic=11.9+26.9/E_lab^1.21+ 0.169*[ln(E_lab)]²-1.85ln(E_lab)
sig^inelastic=1000(sig^tot-sig^elastic)