Mv. Libanov et al., TREE AMPLITUDES AT MULTIPARTICLE THRESHOLD IN A MODEL WITH SOFTLY BROKEN O(2) SYMMETRY, Nuclear physics. B, 412(3), 1994, pp. 607-620
Tree amplitudes of the production of two kinds of scalar particles at
threshold from one virtual particle are calculated in a model of two s
calar fields with O(2) symmetric quartic interaction and unequal masse
s. These amplitudes exhibit interesting factorial and exponential beha
viour at large multiplicities. As a by-product we observe that the kin
ematically 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.