Sanford-Wang parameterisation: Difference between revisions

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( Created page with '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...')
Its formula for the double-differential [[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) = 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>
<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.