# Sanford-Wang parameterisation

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The **Sanford-Wang parameterisation** is an empirical formula used to model the production of pions in nuclear interaction of the form p+A → +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 () is as follows.

Where p and are the momentum of the outgoing pion and its angle from the direction of the incident proton. The numbers 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- J. R. Sanford and C. L. Wang, Brookhaven National Laboratory, AGS internal report, 1967 (unpublished); C. L. Wang, Phys. Rev. Letters
**25**, 1068 (1970); ibid.**25**, 1536(E) (1970).