Pionisation in a ø³ theory ladder model

Abstract

The inclusive reaction a + b → c + X is calculated in a φ³ theory ladder model in the pionisation region. A Mellin transform method is used to obtain, without resorting to leading term approximations, a double Regge form for the < abc̅babc̅ > amplitude in this region, resulting in limiting pionisation. The Mellin transform method has to be applied with discretion here and is not a trivial extension of the same method as applied earlier to the fragmentation region. It is pointed out that these methods can also be applied to multiple-inclusive reactions, once again giving expected Regge-behaved results.