${\pi }^{+}{\pi }^{+}$ and ${\pi }^{+}{\pi }^{-}$ 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 $\cos \theta \sim \pm 1$. The non-commutativity of space is expected to be explored at around ${\Lambda }_{NC}\sim$TeV.

Latex, 12 pages

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