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By using the product ansatz as an approximation for the two-baryon system we investigate the isoscalar nucleon-nucleon spin-orbit potential in an extended Skyrme model including both fourth- and sixth-order terms. As it is the case for the…

High Energy Physics - Phenomenology · Physics 2009-09-25 Abdellatif Abada

We derive the nucleon-nucleon isoscalar spin-orbit potential from the Skyrme model and find good agreement with the Paris potential. This solves a problem that has been open for more than thirty years and gives a new geometric understanding…

High Energy Physics - Theory · Physics 2022-08-10 Chris Halcrow , Derek Harland

We examine the derivation of the spin-orbit force from the Skyrme model. We find substantial agreement with phenomenological potentials. We show that a systematic and simultaneous treatment of all components of the kinetic energy introduces…

Nuclear Theory · Physics 2009-10-22 R. D. Amado , Bin Shao , Niels R. Walet

We study the role of the tensor term of the Skyrme effective interactions on the spin-orbit splittings in the N=82 isotones and Z=50 isotopes. The different role of the triplet-even and triplet-odd tensor forces is pointed out by analyzing…

Nuclear Theory · Physics 2008-11-26 G. Colo' , H. Sagawa , S. Fracasso , P. F. Bortignon , .

We compute the nuclear spin-orbit coupling from the Skyrme model. Previous attempts to do this were based on the product ansatz, and as such were limited to a system of two well-separated nuclei. Our calculation utilises a new method, and…

High Energy Physics - Theory · Physics 2018-08-31 Derek Harland , Nicholas S. Manton

The spin-orbit force is a vital tool in describing finite nuclei and nucleon interactions; however its microscopic origin is not fully understood. In this paper we study a model inspired by Skyrmions which provides a classical explanation…

High Energy Physics - Theory · Physics 2015-04-22 C. J. Halcrow , N. S. Manton

We calculate the nucleon-antinucleon static potential in the Skyrme model using the product ansatz and including some finite $N_C$ (number of colors) corrections. The mid and long range part of the spin-spin and tensor force are correctly…

Nuclear Theory · Physics 2008-11-26 Yang Lu , R. D. Amado

Within the skyrmion approach for the nucleon-nucleon force, difficulties have been experienced in obtaining an isoscalar attractive spin-orbit potential, in parallel to the problems of finding attraction in the isoscalar central potential.…

High Energy Physics - Phenomenology · Physics 2016-09-01 G. Kälbermann , J. M. Eisenberg

It is considered how spin-orbit potential for two nucleons is changed when one of them is imbedded in nuclear matter. It is emphasized that there appears new tipe of potential antisymmetric under nucleon spins which is proportional to mass…

Nuclear Theory · Physics 2007-05-23 A. P. Kobushkin

The isospin dependence of the spin-orbit potential is investigated for an effective Skyrme-like energy functional suitable for density dependent Hartree-Fock calculations. The magnitude of the isospin dependence is obtained from a fit to…

Nuclear Theory · Physics 2016-09-08 M. M. Sharma , G. Lalazissis , J. König , P. Ring

The isospin dependence of the spin-orbit potential is investigated for an effective Skyrme like energy-functional suitable for density-dependent Hartree-Fock calculations. The magnitude of the isospin dependence is obtained from a fit to…

Nuclear Theory · Physics 2016-02-17 M. M. Sharma , G. A. Lalazissis , J. Koenig , P. Ring

The derivation of the nucleon-nucleon force from the Skyrme model is reexamined. Starting from previous results for the potential energy of quasistatic solutions, we show that a calculation using the Born-Oppenheimer approximation properly…

Nuclear Theory · Physics 2008-11-26 Niels R. Walet , R. D. Amado

We study a generalization of the loosely bound Skyrme model which consists of the Skyrme model with a sixth-order derivative term - motivated by its fluid-like properties - and the second-order loosely bound potential - motivated by…

High Energy Physics - Phenomenology · Physics 2016-12-05 Sven Bjarke Gudnason , Baiyang Zhang , Nana Ma

The explicit form of the next-to-next-to-leading order (N2LO) of the Skyrme effective pseudopotential compatible with all required symmetries and especially with gauge invariance is presented in Cartesian basis. It is shown in particular…

Nuclear Theory · Physics 2013-07-10 D. Davesne , A. Pastore , J. Navarro

We study a generalization of the Skyrme model with the inclusion of a sixth-order term and a generalized mass term. We first analyze the model in a regime where the nonlinear sigma and Skyrme terms are switched to zero which leads to…

High Energy Physics - Phenomenology · Physics 2014-11-21 Eric Bonenfant , Luc Marleau

Based on the phenomenological Skyrme interaction various density-dependent nuclear matter quantities are calculated up to second order in many-body perturbation theory. The spin-orbit term as well as two tensor terms contribute at second…

Nuclear Theory · Physics 2015-09-02 N. Kaiser

As a first step toward circumventing the difficulty to obtain an attractive isospin-independent NN spin-orbit force from Skyrme-type models involving only pions, we investigate an improved Skyrme Lagrangian that incorporates the…

High Energy Physics - Phenomenology · Physics 2016-09-06 Abdellatif Abada

A new Skyrme functional devised to account well for standard nuclear properties as well as for spin and spin-isospin properties is presented. The main novelty of this work relies on the introduction of tensor terms guided by \textit{ab…

Nuclear Theory · Physics 2019-03-22 Shihang Shen , Gianluca Colò , Xavier Roca-Maza

We analyze the spin-orbit coupling term in the nuclear energy density functional in terms of a zero-range NN-contact interaction and finite-range contributions from two-pion exchange. We show that the strength of the spin-orbit contact…

Nuclear Theory · Physics 2009-11-10 N. Kaiser

A systematic study of terminating states in A$\sim$50 mass region using the self-consistent Skyrme-Hartree-Fock model is presented. The objective is to demonstrate that the terminating states, due to their intrinsic simplicity, offer unique…

Nuclear Theory · Physics 2009-11-10 Honorata Zdunczuk , Wojciech Satula , Ramon Wyss
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