The deformation of the interacting nucleon in the Skyrme model

Abstract

Changes in the nucleon shape are investigated by letting the nucleon deform under the strong interactions with another nucleon. The parameters of the axial deformations are obtained by minimizing the static energy of the two nucleon system at each internucleon distance $ R $. It is shown that the intrinsic quadrupole moment of the interacting proton, $Q_{p}$, is about $0.02 fm^2$ at distances near $R \sim 1.25 $ fm.Comment: 11 pages, uudecode, gzip, tar, latex, 3 eps figures, accepted for the publication by Phys.Lett.

Nucleon deformation in finite nuclei

“…The results presented in this work demonstrated the necessity of non-spherical deformed solutions of the field equations to obtain a reliable description of the NN potential. A similar approach to the deformation for two interacting skyrmions has been used in the work [7], where changes in the nucleon shape are investigated by letting the nucleon deform under the strong interactions with another nucleon. On the other hand, rotational and vibrational excitations of deformed skyrmions have also been considered for baryon number equal to one (B = 1) system [8].…”

Medium modification of nucleon properties in the Skyrme model

“…Properties of a single nucleon in free space are understood in classical terms by means of a soliton -like solution of nonlinear Lagrangians like the Skyrme Lagrangian [1]. Models have been constructed to consider pion -nucleon and nucleon -nucleon ( NN) interactions [2][3][4] and even to deform the nucleons [5]. An important outstanding problem is the study of these soliton -like structures in a many body system.…”

Isoscalar NN spin-orbit potential from a Skyrme model with scalar mesons

“…Ref. [23] and references therein). Calculations of the spin-orbit force within this approach are under way [24].…”