156 research outputs found
Relativistic Approach to Superfluidity in Nuclear Matter
Pairing correlations in symmetric nuclear matter are studied within a
relativistic mean-field approximation based on a field theory of nucleons
coupled to neutral ( and ) and to charged () mesons.
The Hartree-Fock and the pairing fields are calculated in a self-consistent
way. The energy gap is the result of a strong cancellation between the scalar
and vector components of the pairing field. We find that the pair amplitude
vanishes beyond a certain value of momentum of the paired nucleons. This fact
determines an effective cutoff in the gap equation. The value of this cutoff
gives an energy gap in agreement with the estimates of non relativistic
calculations.Comment: 21 pages, REVTEX, 8 ps-figures, to appear in Phys.Rev.C. e-mail:
[email protected]
Dirac Sea Effects on Superfluidity in Nuclear Matter
We study two kinds of Dirac sea effects on the pairing gap in nuclear
matter based on the relativistic Hartree approximation to quantum hadrodynamics
and the Gor'kov formalism. We show that the vacuum fluctuation effect on the
nucleon effective mass is more important than the direct coupling between the
Fermi sea and the Dirac sea due to the pairing interaction. The effects of the
high-momentum cutoff are also discussed.Comment: 11 pages, 3 eps figures included, uses REVTeX (with \tightenlines
Bare vs effective pairing forces. A microscopic finite-range interaction for HFB calculations in coordinate space
We propose a microscopic effective interaction to treat pairing correlations
in the channel. It is introduced by recasting the gap equation
written in terms of the bare force into a fully equivalent pairing problem.
Within this approach, the proposed interaction reproduces the pairing
properties provided by the realistic force very accurately. Written in
the canonical basis of the actual Bogolyubov transformation, the force takes
the form of an off-shell in-medium two-body matrix in the superfluid phase
multiplied by a BCS occupation number . This interaction is finite
ranged, non local, total-momentum dependent and density dependent. The factor
emerging from the recast of the gap equation provides a natural
cut-off and makes zero-range approximations of the effective vertex meaningful.
Performing such an approximation, the roles of the range and of the density
dependence of the interaction can be disentangled. The isoscalar and isovector
density-dependences derived ab-initio provide the pairing force with a strong
predictive power when extrapolated toward the drip-lines. Although finite
ranged and non local, the proposed interaction makes HFB calculations of finite
nuclei in coordinate space tractable. Through the two-basis method, its
computational cost is of the same order as for a zero-range force.Comment: 43 pages, 13 figures. Published versio
Interstellar neutral helium in the heliosphere from IBEX observations. III. Mach number of the flow, velocity vector, and temperature from the first six years of measurements
We analyzed observations of interstellar neutral helium (ISN~He) obtained
from the Interstellar Boundary Explorer (IBEX) satellite during its first six
years of operation. We used a refined version of the ISN~He simulation model,
presented in the companion paper by Sokol_et al. 2015, and a sophisticated data
correlation and uncertainty system and parameter fitting method, described in
the companion paper by Swaczyna et al 2015. We analyzed the entire data set
together and the yearly subsets, and found the temperature and velocity vector
of ISN~He in front of the heliosphere. As seen in the previous studies, the
allowable parameters are highly correlated and form a four-dimensional tube in
the parameter space. The inflow longitudes obtained from the yearly data
subsets show a spread of ~6 degree, with the other parameters varying
accordingly along the parameter tube, and the minimum chi-square value is
larger than expected. We found, however, that the Mach number of the ISN~He
flow shows very little scatter and is thus very tightly constrained. It is in
excellent agreement with the original analysis of ISN~He observations from IBEX
and recent reanalyses of observations from Ulysses. We identify a possible
inaccuracy in the Warm Breeze parameters as the likely cause of the scatter in
the ISN~He parameters obtained from the yearly subsets, and we suppose that
another component may exist in the signal, or a process that is not accounted
for in the current physical model of ISN~He in front of the heliosphere. From
our analysis, the inflow velocity vector, temperature, and Mach number of the
flow are equal to lambda_ISNHe = 255.8 +/- 0.5 degree, beta_ISNHe = 5.16 +/-
0.10 degree, T_ISNHe = 7440 +/- 260 K, v_ISNHe = 25.8 +/- 0.4$ km/s, and
M_ISNHe = 5.079 +/- 0.028, with uncertainties strongly correlated along the
parameter tube.Comment: Updated reference
A Relativistic Separable Potential to Describe Pairing in Nuclear Matter
Using the Dirac-Hartree-Fock-Bogoliubov approximation to study nuclear
pairing, we have found the short-range correlations of the Dirac S
pairing fields to be essentially identical to those of the two-nucleon virtual
state at all values of the baryon density. We make use of this fact to develop
a relativistic separable potential that correctly describes the pairing fields.Comment: 17 pages, 4 eps-figure
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
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
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.
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