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 → +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.

ReferencesEdit

  • J. R. Sanford and C. L. Wang, Brookhaven National Laboratory, AGS internal report, 1967 (unpublished)
  • Wang, C. L. (1970-10-12). "Pion, Kaon, and Antiproton Production Between 10 and 70 BeV". Physical Review Letters. American Physical Society (APS). 25 (15): 1068–1072. doi:10.1103/physrevlett.25.1068. ISSN 0031-9007.
  • Wang, C. L. (1970-11-23). "Errata: Pion, Kaon, and Antiproton Production between 10 and 70 BeV". Physical Review Letters. American Physical Society (APS). 25 (21): 1536–1536. doi:10.1103/physrevlett.25.1536. ISSN 0031-9007.