Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1993-07-02
Nucl.Phys.B412:607-620,1994
Physics
High Energy Physics
High Energy Physics - Phenomenology
17 pages. Preprint INR-823/93
Scientific paper
10.1016/0550-3213(94)90394-8
Tree amplitudes of the production of two kinds of scalar particles at threshold from one virtual particle are calculated in a model of two scalar fields with $O(2)$ symmetric quartic interaction and unequal masses. These amplitudes exhibit interesting factorial and exponential behaviour at large multiplicities. As a by-product we observe that the kinematically allowed decay of one real particle into $n$ real particles of another kind, all at rest, has zero tree amplitude in this model for $n>2$.
Libanov M. V.
Rubakov Valerii A.
Troitsky Sergey V.
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