46 research outputs found
On the relativistic origin of the kink effect in the chain of Pb isotopes
We investigate the origin of the kink effect (KE) in the relativistic mean
field theory by transforming the single-particle Dirac equation into a
Schrodinger-like equation. It is found that relativistic self-consistent
effects as well as contributions from the rho meson determine the actual
structure of the KE. However, the spin-orbit force generated by the rho meson
has no significant influence on the KE.Comment: 11 pages, RevTeX, 3 postscript figs., Phys. Lett.
Relativistic Hartree-Bogoliubov theory in coordinate space: finite element solution for a nuclear system with spherical symmetry
A C++ code for the solution of the relativistic Hartree-Bogoliubov theory in
coordinate space is presented. The theory describes a nucleus as a relativistic
system of baryons and mesons. The RHB model is applied in the self-consistent
mean-field approximation to the description of ground state properties of
spherical nuclei. Finite range interactions are included to describe pairing
correlations and the coupling to particle continuum states. Finite element
methods are used in the coordinate space discretization of the coupled system
of Dirac-Hartree-Bogoliubov integro-differential eigenvalue equations, and
Klein-Gordon equations for the meson fields. The bisection method is used in
the solution of the resulting generalized algebraic eigenvalue problem, and the
biconjugate gradient method for the systems of linear and nonlinear algebraic
equations, respectively.Comment: PostScript, 32 pages, to be published in Computer Physics
Communictions (1997
Relativistic Hartree-Bogoliubov theory with finite range pairing forces in coordinate space: Neutron halo in light nuclei
The Relativistic Hartree Bogoliubov (RHB) model is applied in the
self-consistent mean-field approximation to the description of the neutron halo
in the mass region above the s-d shell. Pairing correlations and the coupling
to particle continuum states are described by finite range two-body forces.
Finite element methods are used in the coordinate space discretization of the
coupled system of Dirac-Hartree-Bogoliubov integro-differential eigenvalue
equations, and Klein-Gordon equations for the meson fields. Calculations are
performed for the isotopic chains of Ne and C nuclei. We find evidence for the
occurrence of neutron halo in heavier Ne isotopes. The properties of the 1f-2p
orbitals near the Fermi level and the neutron pairing interaction play a
crucial role in the formation of the halo. Our calculations display no evidence
for the neutron halo phenomenon in C isotopes.Comment: 7 pages, Latex, 5 P.S. Figures, To appear in Phys. Rev. Let
Phenomenological construction of a relativistic nucleon-nucleon interaction for the superfluid gap equation in finite density systems
We construct phenomenologically a relativistic particle-particle channel
interaction which suits the gap equation for nuclear matter. This is done by
introducing a density-independent momentum-cutoff parameter to the relativistic
mean field (Hartree and Hartree-Fock) models so as to reproduce the pairing
properties obtained by the Bonn-B potential and not to change the saturation
property. The interaction so obtained can be used for the Relativistic
Hartree-Bogoliubov calculation, but some reservation is necessary for the
Relativistic Hartree-Fock-Bogoliubov calculation.Comment: 30 pages, 18 eps figures, uses elsart. Major revision ---
Hartree-Fock calculations are added. To appear in Nuclear Physics
Relativistic Hartree-Bogoliubov description of the deformed ground-state proton emitters
Ground-state properties of deformed proton-rich odd-Z nuclei in the region
are described in the framework of Relativistic Hartree
Bogoliubov (RHB) theory. One-proton separation energies and ground-state
quadrupole deformations that result from fully self-consistent microscopic
calculations are compared with available experimental data. The model predicts
the location of the proton drip-line, the properties of proton emitters beyond
the drip-line, and provides information about the deformed single-particle
orbitals occupied by the odd valence proton.Comment: 9 pages, RevTeX, 3 PS figures, submitted Phys. Rev. Letter
Ground-state properties of deformed proton emitters in the relativistic Hartree-Bogoliubov model
The Relativistic Hartree Bogoliubov (RHB) model is applied in the description
of ground-state properties of proton-rich odd-Z nuclei in the region . The NL3 effective interaction is used in the mean-field Lagrangian,
and pairing correlations are described by the pairing part of the finite range
Gogny interaction D1S. The model predicts the location of the proton drip-line,
the ground-state quadrupole deformations and one-proton separation energies at
and beyond the drip-line, the deformed single-particle orbitals occupied by the
odd valence proton, and the corresponding spectroscopic factors. The results of
fully self-consistent RHB calculations are compared with available experimental
data, and with predictions of the macroscopic-microscopic mass model.Comment: 39 pages, Latex, 6 e.p.s figures, Nucl. Phys. A in prin
Relativistic Hartree-Bogoliubov description of ground-state properties of Ni and Sn isotopes
The Relativistic Hartree Bogoliubov (RHB) theory is applied in the
description of ground-state properties of Ni and Sn isotopes. The NL3 parameter
set is used for the effective mean-field Lagrangian, and pairing correlations
are described by the pairing part of the finite range Gogny interaction D1S.
Fully self-consistent RHB solutions are calculated for the Ni () and Sn () isotopes. Binding energies, neutron separation
energies, and proton and neutron radii are compared with experimental
data. The model predicts a reduction of the spin-orbit potential with the
increase of the number of neutrons. The resulting energy splittings between
spin-orbit partners are discussed, as well as pairing properties calculated
with the finite range effective interaction in the channel.Comment: 11 pages, RevTex, 12 p.s figures, submitted to Phys. Rev.
Proton drip-line nuclei in Relativistic Hartree-Bogoliubov theory
Ground-state properties of spherical even-even nuclei and
are described in the framework of Relativistic Hartree Bogoliubov
(RHB) theory. The model uses the NL3 effective interaction in the mean-field
Lagrangian, and describes pairing correlations by the pairing part of the
finite range Gogny interaction D1S. Binding energies, two-proton separation
energies, and proton radii that result from fully self-consistent RHB
solutions are compared with experimental data. The model predicts the location
of the proton drip-line. The isospin dependence of the effective spin-orbit
potential is discussed, as well as pairing properties that result from the
finite range interaction in the channel.Comment: 12 pages, RevTex, 10 p.s figures, submitted to Phys. Rev.
Oncofertility program implementation increases access to fertility preservation options and assisted reproductive procedures for breast cancer patients
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/136021/1/jso24418.pdfhttp://deepblue.lib.umich.edu/bitstream/2027.42/136021/2/jso24418_am.pd
Microscopic Description of Super Heavy Nuclei
The results of extensive microscopic Relativistic Mean Field (RMF)
calculations for the nuclei appearing in the alpha - decay chains of recently
discovered superheavy elements with Z = 109 to 118 are presented and discussed.
The calculated ground state properties like total binding energies, Q values,
deformations, radii and densities closely agree with the corresponding
experimental data, where available. The double folding (t-rho-rho)
approximation is used to calculate the interaction potential between the
daughter and the alpha, using RMF densities along with the density dependent
nucleon - nucleon interaction (M3Y). This in turn, is employed within the WKB
approximation to estimate the half lives without any additional parameter for
alpha - decay. The half lives are highly sensitive to the Q values used and
qualitatively agree with the corresponding experimental values. The use of
experimental Q values in the WKB approximation improves the agreement with the
experiment, indicating that the resulting interaction potential is reliable and
can be used with confidence as the real part of the optical potential in other
scattering and reaction processes.Comment: Accepted for publication in Annals of Physics (NY