Sanford–Wang Parameterisation

The Sanford–Wang parameterisation is an empirical formula used to model the production of pions in nuclear interaction of the form p+A → $\pi^+$+X where a beam of high-energy protons hit a material.

Its formula for the double-differential cross section with respect to momentum (p) and solid angle ($\Omega$) is as follows.

$\frac(p,\theta) =$
c_1 p^ \left(1-\frac\right)\exp\left c_3\frac-c_6\theta(p-c_7 p_ (\cos\theta)^)\right/math>

Where p and $\theta$ are the momentum of the outgoing pion and its angle from the direction of the incident proton. The numbers $c_1\ldots c_8$ are the ''Sanford-Wang parameters'' and are typically varied to give a good fit with experimental data.

References

* J. R. Sanford and C. L. Wang, Brookhaven National Laboratory, AGS internal report, 1967 (unpublished)
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{{DEFAULTSORT:Sanford-Wang Parameterisation
Quantum chromodynamics
Scattering
Experimental particle physics