Solution of spin and pseudo-spin symmetric Dirac equation in (1+ 1) space-time using tridiagonal representation approach

IA Assi, AD Alhaidari, H Bahlouli - Communications in Theoretical …, 2018 - iopscience.iop.org
The aim of this work is to find exact solutions of the Dirac equation in (1+ 1) space-time
beyond the already known class. We consider exact spin (and pseudo-spin) symmetric Dirac …

General spin and pseudospin symmetries of the Dirac equation

P Alberto, M Malheiro, T Frederico, A De Castro - Physical Review A, 2015 - APS
In the 1970s Smith and Tassie [GB Smith and LJ Tassie, Ann. Phys.(NY) 65, 352 (1971)
APNYA6 0003-4916 10.1016/0003-4916 (71) 90172-2] and Bell and Ruegg [JS Bell and H …

Scattering and bound states of fermions in a mixed vector–scalar smooth step potential

WM Castilho, AS de Castro - Annals of Physics, 2014 - Elsevier
The scattering of a fermion in the background of a smooth step potential is considered with a
general mixing of vector and scalar Lorentz structures with the scalar coupling stronger than …

Symmetry generators and quantum numbers for fermionic circularly symmetric motion

VB Mendrot, AS de Castro, P Alberto - arxiv preprint arxiv:2409.06850, 2024 - arxiv.org
The planar dynamics of spin-1/2 quantum relativistic particles is important for several
physical systems. In this paper we derive, by a simple method, the generators for the …

[PDF][PDF] Energy levels of weakly bound nuclei with relativistic effects

F Rezvani, MR Shojaei - Scientific Bulletin-University …, 2017 - scientificbulletin.upb.ro
Relativistic effects are employed to describe the weakly bound nuclei, eg He, Be, C and O
near closed shells. In order to calculate the energy levels of the ground states and first …

Investigation on the Origin of Spin and Pseudospin Symmetries in Atomic Nuclei

AA Alsulaimi, Z El-Bayyari, HA Alhendi, T Barakat - Spin, 2021 - World Scientific
The spin and pseudo-spin symmetries are analytically investigated by solving the three-
dimensional Dirac equation for the Kratzer potential plus a ring-shaped potential. Relativistic …

Relativistic effects in the study of weakly bound F and Be nuclei

F Rezvani, MR Shojaei - Pramana, 2018 - Springer
Relativistic effects are employed to describe the weakly bound nuclei of^ 17 17 F and^ 11 11
Be. In order to calculate the energy levels of the ground state and the excited states of these …

Generalizing spin and pseudospin symmetries for relativistic spin 1/2 fermions

P Alberto, M Malheiro, T Frederico… - Journal of Physics …, 2016 - iopscience.iop.org
We propose a generalization of pseudospin and spin symmetries, the SU (2) symmetries of
Dirac equation with scalar and vector mean-field potentials originally found independently in …

Symmetry Generators and Quantum Numbers for Fermionic Circularlysymmetric Systems

VB Mendrot - Available at SSRN 5125532 - papers.ssrn.com
Abstract The description of spin-1/2 quantum relativistic particles under the effect of external
potentials which only act on a particular plane of motion is important for several physical …

Dirac shell quark-core model for the study of non-strange baryonic spectroscopy

M De Sanctis - arxiv preprint arxiv:1904.05266, 2019 - arxiv.org
A Dirac shell model is developed for the study of baryon spectroscopy, taking into account
the most relevant results of the quark-diquark models. The lack of translational invariance of …