2,053 research outputs found
The nuclear pseudospin symmetry along an isotopic chain
We investigate the isospin dependence of pseudospin symmetry in the chain of
tin isotopes (from Sn until Sn). Using a Woods-Saxon
parametrization of the nuclear potential for these isotopes we study in detail
the effect of the vector-isovector and Coulomb potentials in the energy
splittings of neutron and proton pseudospin partners in the isotopic chain. We
conclude that the realization of nuclear pseudospin symmetry does not change
considerably with the mass number, and is always favored for neutrons. We also
find that the potential accounts for essentially all the pseudospin
isospin asymmetry observed and that the Coulomb potential plays a negligible
role in this asymmetry. This can be explained by the dynamical nature of
pseudospin symmetry in nuclei, namely the dependence of the pseudospin
splittings on the shape of the nuclear mean-field potential.Comment: 4 pages, 4 figures, to be published in Brazilian Journal of Physic
Tensor coupling and pseudospin symmetry in nuclei
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
pseudospin splittings, especially for single-particle levels near the Fermi
surface. By using an energy decomposition of the pseudospin energy splittings,
we show that the changes in these splittings come by mainly through the changes
induced in the lower radial wave function for the low-lying pseudospin
partners, and by changes in the expectation value of the pseudospin-orbit
coupling term for surface partners. This allows us to confirm the conclusion
already reached in previous studies, namely that the pseudospin symmetry in
nuclei is of a dynamical nature.Comment: 11 pages, 5 figures, uses REVTeX macro
Dynamical nature of the nuclear pseudospin and its isospin asymmetry
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 lower component of the Dirac spinor. We show that this term gives a large
contribution to the energy splittings of pseudospin partners, so that the near
pseudospin degeneracy arises from a significant cancellation among the
different terms in that equation. This is a manifestation of the dynamical
character of this symmetry in the nucleus. We analyze the isospin dependence of
the pseudospin symmetry in a nuclear isotope chain by including a
vector-isovector potential V_rho and a Coulomb potential and conclude that
V_rho gives the main contribution to the observed pseudospin isospin asymmetry.Comment: 4 pages, 2 figures, uses World Scientific style file. Contribution
presented at the VIII International Workshop on Hadron Physics, Bento
Goncalves, RS, Brazil, April 14-19, 2002. To be published by World Scientific
in the proceedings of the "International Workshop on Hadron Physics 2002
Spin and pseudospin symmetries in the antinucleon spectrum of nuclei
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 that, for nucleons and antinucleons, the spin symmetry is of
perturbative nature and it is almost an exact symmetry in the physical region
for antinucleons. The opposite situation is found in the pseudospin symmetry
case, which is better realized for nucleons than for antinucleons, but is of
dynamical nature and cannot be viewed in a perturbative way both for nucleons
and antinucleons. This is shown by computing the spin-orbit and
pseudospin-orbit couplings for selected spin and pseudospin partners in both
spectra.Comment: 8 figures, uses revtex 4.1 macro
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