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Related papers: Dynamical nature of the nuclear pseudospin and its…

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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

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…

Nuclear Theory · Physics 2009-11-06 P. Alberto , M. Fiolhais , M. Malheiro , A. Delfino , 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

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

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 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

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

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

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

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 pseudospin symmetry (PSS) is a relativistic dynamical symmetry directly connected with the small component of the nucleon Dirac wave function. Much effort has been made to study this symmetry in bound states. Recently, a rigorous…

Nuclear Theory · Physics 2014-10-23 Bing-Nan Lu , En-Guang Zhao , Shan-Gui Zhou

We derive the node structure of the radial functions which are solutions of the Dirac equation with scalar $S$ and vector $V$ confining central potentials, in the conditions of exact spin or pseudospin symmetry, i.e., when one has $V=\pm…

Nuclear Theory · Physics 2015-06-15 P. Alberto , A. S. de Castro , M. Malheiro

In this work we study the contribution of the isoscalar tensor coupling to the realization of pseudospin symmetry in nuclei. Using realistic values for the tensor coupling strength, we show that this coupling reduces noticeably the…

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

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 behavior of spin doublets is known to play a major role in nuclear structure and shell effects. Pseudo-spin doublets are also known to impact the single-particle spectrum. The covariant framework, having these two effects encoded in its…

Nuclear Theory · Physics 2025-02-03 L. Heitz , J. P. Ebran , E. Khan

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

The origin of pseudospin symmetry and its broken in real nuclei are discussed in the relativistic mean field theory. In the exact pseudospin symmetry, even the usual intruder orbits have degenerate partners. In real nuclei, pseudospin…

Nuclear Theory · Physics 2016-08-16 T. S. Chen , H. F. Lü , J. Meng , S. -G. Zhou

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…

Nuclear Theory · Physics 2009-11-07 A. Leviatan , J. N. Ginocchio

(Pseudo)spin symmetries play vital roles in nuclear physics and have been studied extensively in spherical nuclei. In this work, possible spin and pseudospin symmetries in deformed nuclei are examined by solving a coupled-channel Dirac…

Nuclear Theory · Physics 2024-06-19 Ting-Ting Sun , Bing-Xin Li , Kun Liu
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