Fl. Bezrukov, USING SINGULAR CLASSICAL-SOLUTIONS FOR CALCULATING MULTIPARTICLE CROSS-SECTIONS IN-FIELD THEORY, Theoretical and mathematical physics, 115(3), 1998, pp. 647-657
A method for reducing the problem of calculating multiparticle tree cr
oss sections in phi(4) theory to the solution of a singular classical
Euclidean boundary-value problem is introduced. The solutions are obta
ined numerically in terms of the spherical harmonic decomposition, and
the corresponding estimates of the tree cross sections are found at a
rbitrary energies. Numerical analysis agrees with analytic results obt
ained earlier in the limiting cases of high and low energies.