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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 contribution of the tensor interaction in Hartree-Fock calculations for closed shell nuclei is studied. The investigation is done neglecting the spin-orbit component of the force. As expected from nuclear matter estimates we find that…

Nuclear Theory · Physics 2022-03-02 Giampaolo Co' , Antonio M. Lallena

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 present a fully self-consistent computational framework composed by Hartree-Fock plus ran- dom phase approximation where the spin-orbit and Coulomb terms of the interaction are included in both steps of the calculations. We study the…

Nuclear Theory · Physics 2015-06-18 V. De Donno , G. Co' , M. Anguiano , A. M. Lallena

Relativistic self-consistent mean-field (SCMF) models naturally account for the coupling of the nucleon spin to its orbital motion, whereas non-relativistic SCMF methods necessitate a phenomenological ansatz for the effective spin-orbit…

Nuclear Theory · Physics 2016-08-24 J. -P. Ebran , A. Mutschler , E. Khan , D. Vretenar

We present the evolution of the shell structure of nuclei in Hartree-Fock calculations using Skyrme's density-dependent effective nucleon-nucleon interaction. The role of the tensor part of the Skyrme interaction to the Hartree-Fock…

Nuclear Theory · Physics 2008-11-26 D. M. Brink , Fl. Stancu

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 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

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

We investigate the role of odd-odd (with respect to time inversion) couplings in the Skyrme force on collisions of light nuclei, employing a fully three-dimensional numerical treatment without any symmetry restrictions and with modern…

Nuclear Theory · Physics 2009-11-11 J. A. Maruhn , P. -G. Reinhard , P. D. Stevenson , M. R. Strayer

External non-uniform magnetic fields acting on molecules induce non-collinear spin-densities and spin-symmetry breaking. This necessitates a general two-component Pauli spinor representation. In this paper, we report the implementation of a…

Chemical Physics · Physics 2018-05-23 Sangita Sen , Erik I. Tellgren

The electromagnetic effects of the finite size of the nucleon are implemented self-consistently on top of the Skyrme Hartree-Fock calculation, where the electric form factors of both protons and neutrons are considered. Furthermore, the…

Nuclear Theory · Physics 2020-06-17 Tomoya Naito , Xavier Roca-Maza , Gianluca Colò , Haozhao Liang

It is well known that non-central nuclear forces, such as the spin-orbital coupling and the tensor force, play important roles in understanding many interesting features of nuclear structures. However, their dynamical effects in nuclear…

Nuclear Theory · Physics 2015-11-17 Jun Xu , Bao-An Li , Wen-Qing Shen , Yin Xia

We use a Hartree-Fock-Koopmans approach to study spin and interaction effects in a diffusive or chaotic quantum dot. In particular, we derive the statistics of the spacings between successive Coulomb-blockade peaks. We include fluctuations…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Y. Alhassid , S. Malhotra

We present a study of the effects of the tensor-isospin term of the effective interaction in Hartree-Fock and Random Phase Approximation calculations. We used finite-range forces of Gogny type, and we added to them a tensor-isospin term…

Nuclear Theory · Physics 2011-07-04 M. Anguiano , G. Co' , V. De Donno , A. M. Lallena

The paper studies spin-orbit interaction (i.e. the effect the spin has on the particle's trajectory in a magnetic field) as a model of quantum computation. The two-level spin quantum system is examined using the stochastic mechanics…

Mathematical Physics · Physics 2011-02-11 Gerasimos G. Rigatos

The relativistic Hartree approach describing the bound states of both nucleons and anti-nucleons in finite nuclei has been extended to include tensor couplings for the $\omega$- and $\rho$-meson. After readjusting the parameters of the…

Nuclear Theory · Physics 2009-11-07 Guangjun Mao

Spin-orbit coupling characterizes quantum systems such as atoms, nuclei, hypernuclei, quarkonia, etc., and is essential for understanding their spectroscopic properties. Depending on the system, the effect of spin-orbit coupling on shell…

Nuclear Theory · Physics 2016-06-29 J. -P. Ebran , E. Khan , A. Mutschler , D. Vretenar

Using chiral perturbation theory, we calculate the density-dependent spin-orbit coupling generated by the two-pion exchange three-nucleon interaction involving virtual $\Delta$-isobar excitation. From the corresponding three-loop Hartree…

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