Alpha Cluster Model of Atomic Nuclei

Abstract

Description of a nuclear system in its ground state and at low excitations based on the equation of state (EoS) around normal density is presented. In the expansion of the EoS around the saturation point additional spin polarization terms are taken into account. These terms, together with the standard symmetry term, are responsible for appearance of the $\alpha$-like clusters in the ground state configurations of the N=Z even-even nuclei. At the nuclear surface these clusters can be identified as alpha particles. A correction for the surface effects is introduced for atomic nuclei. Taking into account an additional interaction between clusters the binding energies and sizes of the considered nuclei are very accurately described. The limits of the EoS parameters are established from the properties of the $\alpha$, ${}^3$He and $t$ particles.

27 pages, 10 figures

References in corpus (3)

• Nuclear symmetry energy probed by neutron skin thickness of nuclei
• Constraining the neutron-proton effective mass splitting using empirical constraints on the density dependence of nuclear symmetry energy around normal density
• Semi-classical, microscopic approach to the liquid drop model - a possible way of the description of heavy ion reaction

Cited by in corpus (2)

• Alpha-like clustering in ${}^{20}$Ne from a quartetting wave function approach
• Effect of $\alpha$-clusters on particle production in O$-$O and p$-$O collisions at LHC energies