Sanford-Wang parameterisation: Difference between revisions

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The Sanford-Wang parameterisation is a an empirical formula used to model the production of [[pions]] in nuclear interaction of the form p+A→<math>\pi^+</math>+X where a beam of high-energy [[protons]] hit a material.
 
Its formula for the double-differential [[Cross section (physics)|cross- section]] with respect to momentum (p) and solid angle (<math>\Omega</math>) is as follows.
 
<math>\frac{d^2\sigma(p+A\rightarrow \pi^+ + X)}{dpd\Omega}(p,\theta) = </math>
<math>c_1 p^{c_2} \left(1-\frac{p}{p_{beam}}\right)\exp\left[-c_3\frac{p^{c_4}}{p_{beam}^{c_5}}-c_6\theta(p-c_7 p_{beam} (\cos\theta)^{c_8})\right]</math>
 
Where p and <math>\theta</math> are the momentum of the outgoing pion and its angle from the direction of the incident proton. The numbers <math>c_1\ldots c_8</math> 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, BrtookhavenBrookhaven National Laboratory, AGS internal report, 1967
(unpublished); C. L. Wang, Phys. Rev. Letters '''25''', 1068 (1970); ibid. '''25''', 1536(E) (1970).
 
[[Category:Particle Physics]]