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A method of reducing the problem of the calculation of tree multiparticlecross sections in $\phi^4$ theory to the solution of a singular classicalEuclidean boundary value problem is introduced. The solutions are obtainednumerically in terms of the decomposition in spherical harmonics, and thecorresponding estimates of the tree cross sections at arbitrary energies arefound. Numerical analysis agrees with analytical results obtained earlier inthe limiting cases of large and small energies.Comment: LaTeX, 18 pages, 3 postscript figure

Using singular classical solutions for calculating multiparticle cross sections in field theory