Bound states of few nucleon systems

Abstract

A method for lower bounds calculation for the lighest atomic nuclei is introduced. The effiency of this method, which is based on factorization of the antisymmetrizer operator, is compared to the direct one.The precision of the method is teste in three and four-body calculations. Nucleons are invariant with respect to translations in space, therefore the wave functions of the selfbound systems must be translationally invariant. The best-known methods for the description of quantum systems, such as the Shell Model or the Hartree-Fock Self-Consistent Field method, produce wave functions dependent on a set of one-particle variables, thus also on the center of the mass radius-vector of the system. This shortage of mentioned methods is well known, however, the wave functions dependent on one-particle variables are very attractive because they allow a simple procedure of antisymmetrization. In our calculations [1] we use the normalized Jacobi coordinate system, known as Jacobi tree, to ensure translational invariance of many-body wave function.