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arXiv · 2502.02128

Emission processes in a self-consistent field

A. Dumitrescu·D. S. Delion
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Abstract

We present a microscopic description of cluster emission processes within the Cluster--Hartree--Fock (CHF) self--consistent field (SCF) theory. The starting point is a Woods--Saxon (WS) mean field (MF) with spin--orbit and Coulomb terms. Pairing is treated through standard Bardeen--Cooper--Schrieffer (BCS) quasiparticles. The residual two--body interaction is given by a density--dependent Wigner force having a Gaussian shape with a center of mass (com) correction located in a region of low nuclear density slightly beyond the geometrical contact radius of a system comprised from a nucleus and a surface cluster. We show that such a description adequately reproduces the ground state (gs) shape of a spherical nucleus while the surface correction enhances the radial tail of single particle orbitals, thus allowing for an adequate description of the $\alpha$-decay width for unstable systems.

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A. Dumitrescu, D. S. Delion. 2025-02-04. Emission processes in a self-consistent field. https://arxiv.org/abs/2502.02128

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