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Related papers: The Isospin Asymmetry in the Pseudo-spin Dynamical…

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Pseudospin symmetry in nuclei is investigated by solving the Dirac equation with Woods-Saxon scalar and vector radial potentials, and studying the correlation of the energy splittings of pseudospin partners with the nuclear potential…

Nuclear Theory · Physics 2009-11-07 P. Alberto , M. Malheiro , A. Delfino , M. Fiolhais , M. Chiapparini

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 investigate the isospin dependence of pseudospin symmetry in the chain of tin isotopes (from $^{120}$Sn until $^{170}$Sn). Using a Woods-Saxon parametrization of the nuclear potential for these isotopes we study in detail the effect of…

Nuclear Theory · Physics 2015-06-26 R. Lisboa , M. Malheiro , P. Alberto

Spin and pseudospin symmetries in the spectra of nucleons and antinucleons are studied in a relativistic mean-field theory with scalar and vector Woods-Saxon potentials, in which the strength of the latter is allowed to change. We observe…

Nuclear Theory · Physics 2014-11-20 R. Lisboa , M. Malheiro , P. Alberto , M. Fiolhais , A. S. de Castro

The pseudospin symmetry is a relativistic dynamical symmetry connected with the small component of the Dirac spinor. The origin of pseudospin symmetry in single particle bound states in atomic nuclei has been revealed and studied…

Nuclear Theory · Physics 2012-08-20 Bing-Nan Lu , En-Guang Zhao , Shan-Gui Zhou

Pseudospin symmetry has been useful in understanding atomic nuclei. We review the arguments that this symmetry is a relativistic symmetry. The condition for this symmetry is that the sum of the vector and scalar potentials in the Dirac…

Nuclear Theory · Physics 2015-06-23 Joseph N Ginocchio

We review recent developments that show that pseudospin symmetry is an approximate relativistic symmetry of the Dirac Hamiltonian with realistic nuclear mean field potentials.

Nuclear Theory · Physics 2022-09-21 J. N. Ginocchio , A. Leviatan

We analyze in detail the analytical solutions of the Dirac equation with scalar S and vector V Coulomb radial potentials near the limit of spin and pseudospin symmetries, i.e., when those potentials have the same magnitude and either the…

Quantum Physics · Physics 2015-06-05 A. S. de Castro , P. Alberto

We investigate the role of the Coulomb and the vector-isovector $\rho$ potentials in the asymmetry of the neutron and proton pseudospin splittings in nuclei. To this end, we solve the Dirac equation for the nucleons using central vector and…

Nuclear Theory · Physics 2009-11-10 R. Lisboa , M. Malheiro , P. Alberto

Based on the Relativistic continuum Hartree-Bogoliubov (RCHB) theory, the pseudo-spin approximation in exotic nuclei is investigated in Zr and Sn isotopes from the proton drip line to the neutron drip line. The quality of the pseudo-spin…

Nuclear Theory · Physics 2008-11-26 J. Meng , K. Sugawara-Tanabe , S. Yamaji , A. Arima

The manifestation of pseudospin-symmetry in proton-nucleus scattering is discussed. Constraints on the pseudospin-symmetry violating scattering amplitude are given which require as input cross section and polarization data, but no…

Nuclear Theory · Physics 2009-11-10 H. Leeb , S. A. Sofianos

Relativistic symmetries of the Dirac Hamiltonian with a mixture of spherically symmetric Lorentz scalar and vector potentials, are examined from the point of view of supersymmetric quantum mechanics. The cases considered include the…

Nuclear Theory · Physics 2009-11-10 A. Leviatan

Isospin is an approximate symmetry in atomic nuclei, arising from the rather similar properties of protons and neutrons. Perhaps the clearest manifestation of isospin within nuclei is in the near-identical structure of excited states in…

Nuclear Experiment · Physics 2020-10-07 J. Henderson , S. R. Stroberg

We present the self-consistent, non-perturbative analysis of isospin mixing using the nuclear density functional approach and the rediagonalization of the Coulomb interaction in the good-isospin basis. The largest isospin-breaking effects…

Nuclear Theory · Physics 2009-09-02 W. Satula , J. Dobaczewski , W. Nazarewicz , M. Rafalski

Pseudospin symmetry is a relativistic symmetry of the Dirac Hamiltonian with scalar and vector mean fields equal and opposite in sign. This symmetry imposes constraints on the Dirac eigenfunctions. We examine extensively the Dirac…

Nuclear Theory · Physics 2009-11-10 J. N. Ginocchio , A. Leviatan , J. Meng , Shan-Gui Zhou

The evolution of single-particle energies with varying isospin asymmetry in the shell model is an important issue when predicting changes in the shell structure for exotic nuclei. In many cases pseudospin partner levels, that are almost…

Nuclear Theory · Physics 2008-11-26 S. Typel

This study presents a systematic investigation of the effects of isospin, including both T=0 and T=/0 components, on nucleon pairing correlations in fp-shell nuclei. To this aim, the interacting boson model-4, which explicitly incorporates…

Nuclear Theory · Physics 2026-05-29 Hossein Emami , Hadi Sabri

The relevance of the pseudospin symmetry in nuclei is considered. New insight is obtained from looking at the continuous transition from a model satisfying the spin symmetry to another one satisfying the pseudospin symmetry. This study…

Nuclear Theory · Physics 2014-11-18 Bertrand Desplanques , Saturnino Marcos

In nuclear collisions induced by stable or radioactive neutron-rich nuclei a transient state of nuclear matter with an appreciable isospin asymmetry as well as thermal and compressional excitation can be created. This offers the possibility…

Nuclear Theory · Physics 2015-06-26 Bao-An Li , Che Ming Ko , Wolfgang Bauer

It is an interesting and open problem to trace the origin of the pseudospin symmetry in nuclear single-particle spectra and its symmetry breaking mechanism in actual nuclei. In this report, we mainly focus on our recent progress on this…

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