Nucleus-Nucleus Interaction and Nuclear Saturation Property: Microscopic Study of 16O+16O Interaction by New Effective Nuclear Force

Abstract

By taking the "0 + "O system as an example, the property of nucleus-nucleus interaction is investigated by the use of resonating group method. Special attention is paid to the nuclear saturation property which is satisfied in all the interaction region from compact 32-nucleon configuration to two separated "0 nuclei. A new kind of effective nuclear force with a repulsive three-body interaction is introduced in order to take account of density dependent effects in relation to the saturation property. A kind of core in the inner region and a weak attraction in the intermediate region are discussed quantitatively for the "0+ "0 interaction. § 1. Introduction Experimental systematics on heavy-ion collisions have stimulated the study on nucleus-nucleus interaction.ll~al Theoretical interest has been mainly concentrated upon a potential description by the use of a local density approximation as an intuitive approach!l,ol On the other hand, the orthogonality condition model has made a modern current for the study of light two-nucleus systems particularly in Japanese group. 6 l In this model the nucleus-nucleus potential is assumed as some kind of modification of a direct potential. These models, however, are not still placed on a foundation of a fully microscopic consideration on nucleus-nucl~us interaction.Microscopic treatments of the interactions between composite particles have their essential significance in clarifying the interplay of the nuclear force and the Pauli principle during the collision process of two nuclei. 7 l,sl Recent progress of the microscopic treatments has rapidly extended their applicability to heavy two· nucleus systems with (Op) or (lsOd) shell nuclei. 9 l An introduction of the generator coordinate 10 l with respect to the relative motion is a key point to succeed in avoiding a serious cumbersomeness in the computational procedures by the use of the resonating group method (RGM). This is because the generator coordinate method (GCM) allows us to utilize the well-known systematics of harmonic oscillator (h.o.) wave function.(And note that when the center-of-mass motion is separated,w the GCM becomes equivalent to the RGM under a Gaussian transfer-

Cluster and toroidal aspects of isoscalar dipole excitations in C12

“…The central force is the MV1 force [34] consisting of two-range Gaussian two-body terms and a zero-range three-body term. As for the parametrization of the MV1 force, the case 1 with the Bartlett, Heisenberg, and Majorana parameters, b = h = 0 and m = 0.62, is used.…”

Toroidal, compressive, and E1 properties of low-energy dipole modes in Be10

“…It consists of the central force of the MV1 force [55] and the spin-orbit term of the G3RS force [56,57]. The MV1 force is given by two-range Gaussian two-body terms and a zero-range three-body term.…”

Structure of Light Unstable Nuclei Studied with Antisymmetrized Molecular Dynamics

“…However the results have proved to be not so much affected by the additional components except for the binding energies. Instead of the Volkov force, we also adopt case (1) and case (3) of MV1 force [41], which contain the zero-range three-body force V (3) as density dependent terms in addition to the two-body interaction V (2) ,…”