132 research outputs found
Core Polarization and Tensor Coupling Effects on Magnetic Moments of Hypernuclei
The effects of core polarization and tensor coupling on the magnetic moments
in C, O, and Ca
-hypernuclei are studied in the Dirac equation with scalar, vector and
tensor potentials. It is found that the effect of core polarization on the
magnetic moments is suppressed by tensor coupling. The
tensor potential reduces the spin-orbit splitting of states
considerably. However, almost the same magnetic moments are obtained using the
hyperon wave function obtained via the Dirac equation either with or without
the tensor potential in the electromagnetic current vertex. The
deviations of magnetic moments for states from the Schmidt values
are found to increase with nuclear mass number.Comment: 10 pages, 2 figures, 2 table
Particle-drip lines from the Hartree-Fock-Bogoliubov theory with Skyrme interaction
We calculate positions of one- and two-particle, proton and neutron drip
lines within the Hartree-Fock-Bogoliubov theory using Skyrme interaction. We
also determine an approximate -process path defined as a line where the
neutron binding energy is equal to 2~MeV. A weakening of the nuclear shell
structure at drip lines is found and interpreted as resulting from a coupling
with continuum states.Comment: 10 pages REVTEX 3.0, 3 uuencoded postscript figures included,
IFT/14/9
The nonrelativistic limit of the relativistic point coupling model
We relate the relativistic finite range mean-field model (RMF-FR) to the
point-coupling variant and compare the nonlinear density dependence. From this,
the effective Hamiltonian of the nonlinear point-coupling model in the
nonrelativistic limit is derived. Different from the nonrelativistic models,
the nonlinearity in the relativistic models automatically yields contributions
in the form of a weak density dependence not only in the central potential but
also in the spin-orbit potential. The central potential affects the bulk and
surface properties while the spin-orbit potential is crucial for the shell
structure of finite nuclei. A modification in the Skyrme-Hartree-Fock model
with a density-dependent spin-orbit potential inspired by the point-coupling
model is suggested.Comment: 21 pages, latex, 1 eps figure. accepted for publication in annals of
physic
Nuclear Ground State Observables and QCD Scaling in a Refined Relativistic Point Coupling Model
We present results obtained in the calculation of nuclear ground state
properties in relativistic Hartree approximation using a Lagrangian whose
QCD-scaled coupling constants are all natural (dimensionless and of order 1).
Our model consists of four-, six-, and eight-fermion point couplings (contact
interactions) together with derivative terms representing, respectively, two-,
three-, and four-body forces and the finite ranges of the corresponding mesonic
interactions. The coupling constants have been determined in a self-consistent
procedure that solves the model equations for representative nuclei
simultaneously in a generalized nonlinear least-squares adjustment algorithm.
The extracted coupling constants allow us to predict ground state properties of
a much larger set of even-even nuclei to good accuracy. The fact that the
extracted coupling constants are all natural leads to the conclusion that QCD
scaling and chiral symmetry apply to finite nuclei.Comment: 44 pages, 13 figures, 9 tables, REVTEX, accepted for publication in
Phys. Rev.
Potential energy surfaces of superheavy nuclei
We investigate the structure of the potential energy surfaces of the
superheavy nuclei 258Fm, 264Hs, (Z=112,N=166), (Z=114,N=184), and (Z=120,N=172)
within the framework of self-consistent nuclear models, i.e. the
Skyrme-Hartree-Fock approach and the relativistic mean-field model. We compare
results obtained with one representative parametrisation of each model which is
successful in describing superheavy nuclei. We find systematic changes as
compared to the potential energy surfaces of heavy nuclei in the uranium
region: there is no sufficiently stable fission isomer any more, the importance
of triaxial configurations to lower the first barrier fades away, and
asymmetric fission paths compete down to rather small deformation. Comparing
the two models, it turns out that the relativistic mean-field model gives
generally smaller fission barriers.Comment: 8 pages RevTeX, 6 figure
Superheavy nuclei in selfconsistent nuclear calculations
The shell structure of superheavy nuclei is investigated within various
parametrizations of relativistic and nonrelativistic nuclear mean field models.
The heaviest known even-even nucleus 264Hs is used as a benchmark to estimate
the predictive value of the models. From that starting point, doubly magic
spherical nuclei are searched in the region Z=110-140 and N=134-298. They are
found at (Z=114, N=184), (Z=120, N=172), or at (Z=126, N=184), depending on the
parametrization.Comment: 16 pages RevTeX, 2 tables, 2 low resolution Gif figures (high
resolution PostScript versions are available at
http://www.th.physik.uni-frankfurt.de/~bender/nucl_struct_publications.html
or at ftp://th.physik.uni-frankfurt.de/pub/bender ), submitted to Phys. Rev.
Feynman Diagrams and Differential Equations
We review in a pedagogical way the method of differential equations for the
evaluation of D-dimensionally regulated Feynman integrals. After dealing with
the general features of the technique, we discuss its application in the
context of one- and two-loop corrections to the photon propagator in QED, by
computing the Vacuum Polarization tensor exactly in D. Finally, we treat two
cases of less trivial differential equations, respectively associated to a
two-loop three-point, and a four-loop two-point integral. These two examples
are the playgrounds for showing more technical aspects about: Laurent expansion
of the differential equations in D (around D=4); the choice of the boundary
conditions; and the link among differential and difference equations for
Feynman integrals.Comment: invited review article from Int. J. Mod. Phys.
Equation of state of asymmetric nuclear matter and collisions of neutron-rich nuclei
The ratio of pre-equilibrium neutrons to protons from collisions of
neutron-rich nuclei is studied as a function of their kinetic energies. This
ratio is found to be sensitive to the density dependence of the nuclear
symmetry energy, but is independent of the compressibility of symmetric nuclear
matter and the in-medium nucleon-nucleon cross sections. The experimental
measurement of this ratio thus provides a novel means for determining the
nuclear equation of state of asymmetric nuclear matter.Comment: 11 pages + 3 postscript figures, Phys. Rev. Lett. (1997) in pres
Application of the density dependent hadron field theory to neutron star matter
The density dependent hadron field (DDRH) theory, previously applied to
isospin nuclei and hypernuclei is used to describe -stable matter and
neutron stars under consideration of the complete baryon octet. The
meson-hyperon vertices are derived from Dirac-Brueckner calculations of nuclear
matter and extended to hyperons. We examine properties of density dependent
interactions derived from the Bonn A and from the Groningen NN potential as
well as phenomenological interactions. The consistent treatment of the density
dependence introduces rearrangement terms in the expression for the baryon
chemical potential. This leads to a more complex condition for the
-equilibrium compared to standard relativistic mean field (RMF)
approaches. We find a strong dependence of the equation of state and the
particle distribution on the choice of the vertex density dependence. Results
for neutron star masses and radii are presented. We find a good agreement with
other models for the maximum mass. Radii are smaller compared to RMF models and
indicate a closer agreement with results of non-relativistic Brueckner
calculations.Comment: 28 pages, 11 figure
Lambda flow in heavy-ion collisions: the role of final-state interactions
Lambda flow in Ni+Ni collisions at SIS energies is studied in the
relativistic transport model (RVUU 1.0). It is found that for primordial
lambdas the flow is considerably weaker than proton flow. The inclusion of
final-state interactions, especially the propagation of lambdas in mean-field
potential, brings the lambda flow close to that of protons. An accurate
determination of lambda flow in heavy-ion experiments is shown to be very
useful for studying lambda properties in dense matter.Comment: 14 pages, LaTeX, figures available from [email protected], to appear
in Phys. Rev.
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