Cluster Reduction of the Four-Body Yakubovsky Equations
in Configuration Space for the Bound-State Problem
and for Low-Energy Scattering¹⁾

S. L. Yakovlev^2), * and I. N. Filikhin

St. Petersburg State University (Petrodvorets Branch), Ul’yanovskaya ul. 1, St. Petersburg, 198904 Russia

Received July 5, 1996

Abstract—A method using an expansion of the components of the four-body Yakubovsky wave function in the
basis of solutions to the Faddeev equation for the two-cluster sub-Hamiltonian eigenfunctions is proposed. This
expansion reduces the Yakubovsky differential equations to a system of coupled-channel equations for func-
tions depending on the relative coordinates of the subsystems of two-cluster partitions. On the basis of the
resulting equations, the four-nucleon bound-state problem and the problem of zero-energy n³H scattering are
solved with the aid of a relatively small computer.

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