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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…

核理论 · 物理学 2014-11-18 Bertrand Desplanques , Saturnino Marcos

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…

核理论 · 物理学 2014-11-20 R. Lisboa , M. Malheiro , P. Alberto , M. Fiolhais , A. S. de Castro

We show that the occurrence of approximate pseudo-spin symmetry in nuclei is connected with certain similarities in the relativistic single-nucleon wave functions of the corresponding pseudo-spin doublets. We perform a case study in which…

核理论 · 物理学 2008-11-26 Joseph N. Ginocchio , David G. Madland

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…

核理论 · 物理学 2009-11-07 P. Alberto , M. Malheiro , A. Delfino , M. Fiolhais , M. Chiapparini

Symmetry plays a fundamental role in physics. The quasi-degeneracy between single-particle orbitals $(n, l, j = l + 1/2)$ and $(n-1, l + 2, j = l + 3/2)$ indicates a hidden symmetry in atomic nuclei, the so-called pseudospin symmetry (PSS).…

核理论 · 物理学 2015-03-10 Haozhao Liang , Jie Meng , Shan-Gui Zhou

We show that pseudo - spin symmetry in nuclei could arise from nucleons moving in a relativistic mean field which has an attractive scalar and repulsive vector potential nearly equal in magnitude.

核理论 · 物理学 2009-10-30 Joseph N. Ginocchio

The identification of pseudospin symmetry as a relativistic symmetry of the Dirac Hamiltonian is used to explain the structure of radial nodes occurring in pseudospin doublets and to illuminate the special status of nodeless intruder states…

核理论 · 物理学 2009-11-07 A. Leviatan , J. N. Ginocchio

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…

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…

核理论 · 物理学 2008-11-26 S. Typel

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

核理论 · 物理学 2022-09-21 J. N. Ginocchio , A. Leviatan

In the framework of the Relativistic Mean Field Approach a pseudospin dependence of the residual forces in nuclei is considered. It is shown that this dependence is relatively weak. As a consequence, a pseudospin dependence of the…

核理论 · 物理学 2008-11-26 R. V. Jolos , V. V. Voronov

Using relations between wave functions obtained in the framework of the relativistic mean field theory, we investigate the effects of pseudospin and spin symmetry breaking on the single nucleon wave functions in spherical nuclei. In our…

核理论 · 物理学 2009-11-10 P. J. Borycki , J. Ginocchio , W. Nazarewicz , M. Stoitsov

The pseudo-spin symmetry is reviewed. A mapping that produces the separation of the total angular momentum into pseudo-orbital and pseudo-spin degrees of freedom is discussed, together with the analytic transformations that take us from the…

The quasi-degeneracy between the single-particle states $(n,\,l,\,j=l+1/2)$ and $(n-1,\,l+2,\,j=l+3/2)$ indicates a special and hidden symmetry in atomic nuclei---the so-called pseudospin symmetry (PSS)---which is an important concept in…

核理论 · 物理学 2016-07-19 Haozhao Liang

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…

核理论 · 物理学 2012-08-20 Bing-Nan Lu , En-Guang Zhao , Shan-Gui Zhou

The single-particle spectrum of deformed shell-model states in nuclei, is shown to exhibit a supersymmetric pattern. The latter involves deformed pseudospin doublets and intruder levels. The underlying supersymmetry is associated with the…

核理论 · 物理学 2011-02-18 A. Leviatan

Shell-model states involving several pseudospin doublets and ``intruder'' levels in nuclei, are combined into larger multiplets. The corresponding single-particle spectrum exhibits a supersymmetric pattern whose origin can be traced to the…

核理论 · 物理学 2017-08-23 A. Leviatan

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…

核理论 · 物理学 2015-06-23 Joseph N Ginocchio

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…

核理论 · 物理学 2017-08-23 R. Lisboa , M. Malheiro , A. Delfino , P. Alberto , M. Fiolhais , M. Chiapparini

Pseudo-spin symmetry in nuclei is investigated considering the Dirac equation with a Lorentz structured Woods-Saxon potential. The isospin correlation of the energy splittings of pseudo-spin partners with the nuclear potential parameters is…

核理论 · 物理学 2009-11-06 P. Alberto , M. Fiolhais , M. Malheiro , A. Delfino , M. Chiapparini
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