1993/09/08 by K. Varga, Kristóf Renátó Varga, Varga, K.
Physics and Astronomy · #Advanced Chemical Physics Studies #FOS: Physical sciences #Nuclear Theory (nucl-th) #Nuclear physics research studies #Quantum chaos and dynamical systems #nucl-th
paper · pdf · doi:10.48550/arxiv.nucl-th/9309010
ATOMKI-1993/10
arxiv created 1993/09/08 · openalex publication_date 1993/09/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present explicit analytical formulae for two-body matrix elements between Pauli-projected single-particle orbits generated by gaussians shifted from the centre of a nuclear core, which is populated by nucleons occupying harmonic-oscillator orbits. Such shifted gaussian orbits appear in the generator-coordinate model of two-cluster systems and, as ingredients of generating functions, in the resonating group model as well. A Pauli projection is to be understood as a projection onto the subspace not occupied by the core nucleons. This is an exact procedure to take into account the Pauli principle in the limit in which the core is infinitely heavy, thus the procedure to be presented is very useful in the microscopic description of large-core plus small-cluster systems, such as involved in α-decay problems.