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Related papers: Skyrmions and the Nuclear Force

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The recently developed extended Skyrme effective interaction based on the so-called N3LO Skyrme pseudopotential is generalized to the general N$n$LO case by incorporating the derivative terms up to 2$n$th-order into the central term of the…

Nuclear Theory · Physics 2025-04-18 Si-Pei Wang , Xin Li , Rui Wang , Jun-Ting Ye , Lie-Wen Chen

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 equation of state of asymmetric nuclear matter as well as the neutron and proton effective masses and their partial-wave and spin-isospin decomposition are analyzed within the Brueckner--Hartree--Fock approach. Theoretical uncertainties…

Nuclear Theory · Physics 2024-04-05 Isaac Vidaña , Jérôme Margueron , Hans-Josef Schulze

Using the Hellmann--Feynman theorem we analyze the contribution of the different terms of the nucleon-nucleon interaction to the nuclear symmetry energy $E_{sym}$ and the slope parameter $L$. The analysis is performed within the microscopic…

Nuclear Theory · Physics 2015-05-28 Isaac Vidana , Artur Polls , Constanca Providencia

The nucleon-nucleon ($NN$) potential is the residual interaction of the strong interaction in the low-energy region and is also the fundamental input to the study of atomic nuclei. Based on the non-perturbative properties of the quantum…

Nuclear Theory · Physics 2024-10-02 Ke Nan , Jinniu Hu , Hong Shen , Ying Zhang

Various modern nucleon-nucleon (NN) potentials yield a very accurate fit to the nucleon-nucleon scattering phase shifts. The differences between these interactions in describing properties of nuclear matter are investigated. Various…

Nuclear Theory · Physics 2009-10-31 H. Müther , A. Polls

In this review, we summarise the main features of the BPS Skyrme model which provides a physically well-motivated idealisation of atomic nuclei and nuclear matter: 1) it leads to zero binding energies for classical solitons (while realistic…

High Energy Physics - Theory · Physics 2015-11-18 C. Adam , C. Naya , J. Sanchez-Guillen , R. Vazquez , A. Wereszczynski

We study the Nucleon-Nucleon interaction in the Born-Oppenheimer approximation at second order in perturbation theory including the \Delta\ resonance as an intermediate state. The potential resembles strongly chiral potentials computed…

Nuclear Theory · Physics 2011-08-31 A. Calle Cordon , E. Ruiz Arriola

We present a concrete model of a low energy effective field theory of QCD, the well-known Skyrme Model. Specifically, we will work with the BPS submodel in order to describe the binding energies of nuclei. This BPS Skyrme model is…

High Energy Physics - Theory · Physics 2014-12-05 C. Adam , C. Naya , J. Sanchez-Guillen , J. M. Speight , R. Vazquez , A. Wereszczynski

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

We calculate nucleon-nucleon scattering at low energies and large impact parameter in the Skyrme model within the framework for soliton scattering proposed by Manton. This corresponds to a truncation of the degrees of freedom to the twelve…

High Energy Physics - Phenomenology · Physics 2010-11-01 T. Gisiger , M. B. Paranjape

We analyse the contribution of isovector and isoscalar proton-neutron pairing to the binding energies of even-even nuclei with $N-Z=0,2,4$ and atomic mass $20 < A <100$. The binding energies are calculated in the mean-field approach by…

Nuclear Theory · Physics 2022-04-06 D. Negrea , N. Sandulescu , D. Gambacurta

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

In the Skyrme model atomic nuclei are modelled as quantized soliton solutions in a nonlinear field theory of pions. The mass number is given by the conserved topological charge $B$ of the solitons. Conventionally, Skyrmions are…

High Energy Physics - Theory · Physics 2015-01-12 Mareike Haberichter

We derive a $NN^*$(1440) potential from a non-relativistic quark-quark interaction and a chiral quark cluster model for the baryons. By making use of the Born-Oppenheimer approximation we examine the most important features of this…

Nuclear Theory · Physics 2009-11-06 B. Juliá , F. Fernández , A. Valcarce , P. González

One of the outstanding problems in modern nuclear physics is to determine the properties of nuclei from the fundamental theory of the strong force, quantum chromodynamics (QCD). Skyrmions offer a novel approach to this problem by…

High Energy Physics - Theory · Physics 2018-12-12 Carlos Naya , Paul Sutcliffe

The nuclear-polarization corrections to the energy levels of highly charged ions are systematically investigated to leading order in the fine-structure constant. To this end, the notion of effective photon propagators with…

Atomic Physics · Physics 2024-03-18 Igor A. Valuev , Natalia S. Oreshkina

The isoscalar and isovector particle densities and the surface tension coefficients at the average binding energy are used to derive analytical expressions of the neutron skin thickness and the isovector stiffness of sharp edged…

Nuclear Theory · Physics 2015-06-12 J. P. Blocki , A. G. Magner , P. Ring , A. A. Vlasenko

The relatively small binding energy in nuclei suggests that they may be well represented by near-BPS Skyrmions since their mass is roughly proportional to the baryon number $A.$ For that purpose, we propose a generalization of the Skyrme…

High Energy Physics - Phenomenology · Physics 2015-06-05 Eric Bonenfant , Louis Harbour , Luc Marleau

The explicit expressions for the electric, magnetic, axial and induced pseudoscalar form factors of the nucleons are derived in the {\it ab initio} quantized Skyrme model. The canonical quantization procedure ensures the existence of stable…

Nuclear Theory · Physics 2009-11-06 A. Acus , E. Norvaišas , D. O. Riska