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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 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

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 derive the nucleon-nucleon interaction from the Skyrme model using the instanton and product approximations to skyrmion dynamics. In doing so, we also calculate the classical potential and metric for skyrmion dynamics in each of the…

High Energy Physics - Theory · Physics 2022-11-23 Chris Halcrow , Derek Harland

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

In the framework of the product ansatz as an approximation for the two-baryon system we review in details the derivation of the isoscalar nucleon-nucleon spin orbit potential coming from the sixth order term of the extended Skyrme model. We…

High Energy Physics - Phenomenology · Physics 2014-11-17 Abdellatif Abada

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

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

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

We derive the nucleon-nucleon interaction from the Skyrme model using second order perturbation theory and the dipole approximation to skyrmion dynamics. Unlike previous derivations, our derivation accounts for the non-trivial kinetic and…

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

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

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

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 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

In the Skyrme model of nucleons and nuclei, the spin excitation energy of the nucleon is traditionally calculated by a fit of the rigid rotor quantization of spin/isospin of the fundamental Skyrmion (the hedgehog) to the masses of the…

Nuclear Theory · Physics 2016-12-21 C. Adam , J. Sanchez-Guillen , A. Wereszczynski

We calculate the spin-dependent polarizability of the nucleon in the Skyrme model. The result is compared with that of a heavy baryon chiral perturbation theory(HBChPT), and is shown to be the same as that of HBChPT up to the $\Delta$-pole…

High Energy Physics - Phenomenology · Physics 2009-10-30 Y. Tanushi , Y. Nakahara , S. Saito , M. Uehara

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

The self-consistent separable random-phase approximation (SRPA) model with Skyrme forces is extended to the case of magnetic excitations and applied to the description of spin-flip and orbital M1 giant resonances in the isotopic chain…

Nuclear Theory · Physics 2011-05-26 V. O. Nesterenko , J. Kvasil , P. Vesely , W. Kleinig , P. -G. Reinhard

We study the intermediate- and long-range forces between moving and spinning Skyrmions, employing two different methods. One uses a relativised product ansatz for the Skyrme fields, the other models Skyrmions as triplets of scalar dipoles.…

High Energy Physics - Phenomenology · Physics 2009-10-22 B. J. Schroers
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