242 research outputs found
Y-Scaling Analysis of the Deuteron Within the Light-Front Dynamics Method
The concept of relativistic scaling is applied to describe the most recent
data from inclusive electron-deuteron scattering at large momentum transfer. We
calculate the asymptotic scaling function f(y) of the deuteron using its
relationship with the nucleon momentum distribution. The latter is obtained in
the framework of the relativistic light-front dynamics (LFD) method, in which
the deuteron is described by six invariant functions f_{i} (i=1,...,6) instead
of two (S and D waves) in the nonrelativistic case. Comparison of the LFD
asymptotic scaling function with other calculations using and waves
corresponding to various nucleon-nucleon potentials, as well as with the
Bethe-Salpeter result is made. It is shown that for |y|> 400 MeV/c the
differences between the LFD and the nonrelativistic scaling functions become
larger.Comment: 7 pages, 5 figures, Talk at 21-st International Workshop on Nuclear
Theory, Rila Mountains, Bulgaria, June 10-15, 200
Ground-state properties and symmetry energy of neutron-rich and neutron-deficient Mg isotopes
A comprehensive study of various ground-state properties of neutron-rich and
neutron-deficient Mg isotopes with =20-36 is performed in the framework of
the self-consistent deformed Skyrme-Hartree-Fock plus BCS method. The
correlation between the skin thickness and the characteristics related with the
density dependence of the nuclear symmetry energy is investigated for this
isotopic chain following the theoretical approach based on the coherent density
fluctuation model and using the Brueckner energy-density functional. The
results of the calculations show that the behavior of the nuclear charge radii
and the nuclear symmetry energy in the Mg isotopic chain is closely related to
the nuclear deformation. We also study, within our theoretical scheme, the
emergence of an "island of inversion" at neutron-rich Mg nucleus, that
was recently proposed from the analyses of spectroscopic measurements of
Mg low-lying energy spectrum and the charge rms radii of all magnesium
isotopes in the shell.Comment: 13 pages, 13 figures, to be published in Physical Review
Nuclear skin emergence in Skyrme deformed Hartree-Fock calculations
A study of the charge and matter densities and the corresponding rms radii
for even-even isotopes of Ni, Kr, and Sn has been performed in the framework of
deformed self-consistent mean field Skyrme HF+BCS method. The resulting charge
radii and neutron skin thicknesses of these nuclei are compared with available
experimental data, as well as with other theoretical predictions. The formation
of a neutron skin, which manifests itself in an excess of neutrons at distances
greater than the radius of the proton distribution, is analyzed in terms of
various definitions. Formation of a proton skin is shown to be unlikely. The
effects of deformation on the neutron skins in even-even deformed nuclei far
from the stability line are discussed.Comment: 16 pages, 17 figures, to be published in Physical Review
Temperature dependence of the volume and surface contributions to the nuclear symmetry energy within the coherent density fluctuation model
The temperature dependence of the volume and surface components of the
nuclear symmetry energy (NSE) and their ratio is investigated in the framework
of the local density approximation (LDA). The results of these quantities for
finite nuclei are obtained within the coherent density fluctuation model
(CDFM). The CDFM weight function is obtained using the temperature-dependent
proton and neutron densities calculated through the HFBTHO code that solves the
nuclear Skyrme-Hartree-Fock-Bogoliubov problem by using the cylindrical
transformed deformed harmonic-oscillator basis. We present and discuss the
values of the volume and surface contributions to the NSE and their ratio
obtained for the Ni, Sn, and Pb isotopic chains around double-magic Ni,
Sn, and Pb nuclei. The results for the -dependence of the
considered quantities are compared with estimations made previously for zero
temperature showing the behavior of the NSE components and their ratio, as well
as with the available experimental data. The sensitivity of the results on
various forms of the density dependence of the symmetry energy is studied. We
confirm the existence of `kinks' of these quantities as functions of the mass
number at MeV for the double closed-shell nuclei Ni and Sn
and the lack of `kinks' for the Pb isotopes, as well as the disappearance of
these kinks as the temperature increases.Comment: 14 pages, 12 figures, 1 table, accepted for publication in Physical
Review
Nucleon momentum distribution in deuteron and other nuclei within the light-front dynamics method
The relativistic light-front dynamics (LFD) method has been shown to give a
correct description of the most recent data for the deuteron monopole and
quadrupole charge form factors obtained at the Jefferson Laboratory for elastic
electron-deuteron scattering for six values of the squared momentum transfer
between 0.66 and 1.7 (GeV/c). The good agreement with the data is in
contrast with the results of the existing non-relativistic approaches. In this
work we firstly make a complementary test of the LFD applying it to calculate
another important characteristic, the nucleon momentum distribution of
the deuteron using six invariant functions instead of two
(- and -waves) in the nonrelativistic case. The comparison with the
-scaling data shows the decisive role of the function which at
500 MeV/c exceeds all other -functions (as well as the - and
-waves) for the correct description of of the deuteron in the
high-momentum region. Comparison with other calculations using - and
-waves corresponding to various nucleon-nucleon potentials is made.
Secondly, using clear indications that the high-momentum components of
in heavier nuclei are related to those in the deuteron, we develop an approach
within the natural orbital representation to calculate in -nuclei
on the basis of the deuteron momentum distribution. As examples, in
He, C and Fe are calculated and good agreement with the
-scaling data is obtained.Comment: 16 pages, 6 figures, corrected, to appear in Phys. Rev. C in February
200
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