$π^+π^+$ and $π^+π^-$ colliding in noncommutative space

Abstract

By studying the scattering process of scalar particle pion on the noncommutative scalar quantum electrodynamics, the non-commutative amendment of differential scattering cross-section is found, which is dependent of polar-angle and the results are significantly different from that in the commutative scalar quantum electrodynamics, particularly when $\cosθ\sim \pm 1$. The non-commutativity of space is expected to be explored at around $Λ_{NC}\sim$TeV.

Latex, 12 pages