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A compelling feature of relativistic mean-field phenomenology has been the reproduction of spin-orbit splittings in finite nuclei after fitting only to equilibrium properties of infinite nuclear matter. This successful result occurs when…

Nuclear Theory · Physics 2009-10-30 R. J. Furnstahl , John J. Rusnak , Brian D. Serot

The nucleon spin-orbit interaction is a cornerstone of nuclear structure theory, yet its isospin dependence remains elusive owing to the lack of clean experimental probes. Here we show that the charge-weak form factor difference in…

Nuclear Theory · Physics 2026-02-20 Tong-Gang Yue , Zhen Zhang , Lie-Wen Chen

The coupling of the breathing and rotational modes of the skyrmion-skyrmion system leads to a nucleon-nucleon spin-orbit interaction of short range, as well as to spin-orbit potentials for the transitions $NN \to N(1440)N$, $NN \to…

Nuclear Theory · Physics 2009-10-30 A. P. Kobushkin , D. O. Riska

We consider rigid-body quantization of the Skyrmion in the most general four-derivative generalization of the Skyrme model with a potential giving pions a mass, as well as in a class of higher-order Skyrme models. We quantize the spin and…

High Energy Physics - Theory · Physics 2024-06-05 Sven Bjarke Gudnason

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

The motion of a particle with a spin in spherical harmonic oscillator potential with spin-orbit interaction is studied. We have focus our attention on spatial motion of wave packets, giving a description complementary to motion of spin…

Quantum Physics · Physics 2009-10-28 P. Rozmej , R. Arvieu

The splitting of single-particle energies between spin-orbit partners in nuclei is examined in the framework of different self-consistent approachs, non-relativistic as well as relativistic. Analytical expressions of spin-orbit potentials…

Nuclear Theory · Physics 2009-11-06 M. Lopez-Quelle , N. Van Giai , S. Marcos , and L. N. Savushkin

Pseudospin symmetry in nuclei is investigated by solving the Dirac equation with Woods-Saxon scalar and vector radial potentials. We relate the pseudospin interaction with a pseudospin-orbit term in a Schroedinger-like equation for the…

Nuclear Theory · Physics 2017-08-23 R. Lisboa , M. Malheiro , A. Delfino , P. Alberto , M. Fiolhais , M. Chiapparini

We analyse the motion of the spinning body (in the pole-dipole approximation) in the gravitational and electromagnetic fields described by the Mathisson-Papapetrou-Dixon-Souriau equations. First, we define a novel spin condition for the…

General Relativity and Quantum Cosmology · Physics 2025-02-28 K. Andrzejewski

The formalism of linear response theory for a Skyrme functional including spin-orbit and tensor terms is generalized to the case of infinite nuclear matter with arbitrary isospin asymmetry. Response functions are obtained by solving an…

Nuclear Theory · Physics 2015-06-18 D. Davesne , A. Pastore , J. Navarro

The isospin dependence of the spin-orbit interaction in light neutron rich nuclei is investigated in the framework of relativistic mean field theory. The magnitude of the spin-orbit potential is considerably reduced in drip line nuclei,…

Nuclear Theory · Physics 2009-10-30 G. A. Lalazissis , D. Vretenar , W. Poeschl , P. Ring

We consider a motion of a weakly relativistic charged particle with an arbitrary spin in central potential $e/r$ in terms of classical mechanics. We show that the spin-orbital interaction causes the precession of the plane of orbit around…

Quantum Physics · Physics 2023-05-11 Dmitry S. Kaparulin , Nikita A. Sinelnikov

We formulate a microscopic optical potential from chiral two- and three-body forces. The real and imaginary central terms of the optical potential are obtained from the nucleon self-energy in infinite matter, while the real spin-orbit term…

Nuclear Theory · Physics 2019-11-20 T. R. Whitehead , Y. Lim , J. W. Holt

The motion of circular WP for one electron in central Coulomb field with high Z is calculated. The WP is defined in terms of solutions of the Dirac equation in order to take into account all possible relevant effects in particular the…

Quantum Physics · Physics 2009-11-06 R. Arvieu , P. Rozmej , M. Turek

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

Skyrmions with a realistic value of the pion mass parameter are expected to be quite compact structures, but beyond baryon number B=8 only a few examples are known. The largest of these is the cubically symmetric B=32 Skyrmion which is a…

High Energy Physics - Theory · Physics 2015-05-28 N. S. Manton

The contribution of a chiral three-nucleon force to the strength of an effective spin-orbit coupling is estimated. We first construct a reduced two-body interaction by folding one-nucleon degrees of freedom of the three-nucleon force in…

Nuclear Theory · Physics 2015-06-11 M. Kohno

A global nucleon-nucleus optical potential for elastic scattering has been produced which replicates experimental data to high accuracy and compares well with other recently formulated potentials. The calculation that has been developed…

Nuclear Theory · Physics 2014-03-06 S. P. Weppner , R. B. Penney , G. W. Diffendale , G. Vittorini

The traditional approach to fixing the parameters of the Skyrme model requires the energy of a spinning Skyrmion to reproduce the nucleon and delta masses. The standard Skyrme parameters, which are used almost exclusively, fix the pion mass…

High Energy Physics - Theory · Physics 2009-11-11 Richard A. Battye , Steffen Krusch , Paul M. Sutcliffe

The contribution of the spin-orbit interaction in Hartree-Fock calculations for closed shell nuclei is studied. We obtain explicit expressions for the finite range spin-orbit force. New terms with respect to the traditional spin-orbit…

Nuclear Theory · Physics 2009-11-06 Ana R. Bautista , Giampaolo Co' , Antonio M. Lallena