Universal Coordinate Gaussian Basis for Calculations of the Bound States of a Few-Particle System
Keywords:a few-body system, variational method, variational basis
A new simple basis is proposed for variational calculations of the bound states of a few-particle system. For an N-particle system with pairwise interactions, the matrix elements of the Hamiltonian are found in an explicit form. A modified version of the basis invariant with respect to spatial translations is considered as well. As an example, the 12C nucleus is considered as a system consisting of three α-particles, and the convergence of the method is briefly discussed.
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