PYGMY DIPOLE RESONANCE AND TWO NEUTRON SEPARATION ENERGIES IN SOFT AND HEAVY NUCLEI

2010 ◽  
Vol 19 (07) ◽  
pp. 1371-1381
Author(s):  
KUTSAL BOZKURT
Keyword(s):  
Mean Field Theory ◽  
Random Phase ◽  
Mean Field ◽  
Nucleon Nucleon ◽  
Tensor Interaction ◽  
Binding Energies ◽  
Heavy Nuclei ◽  
Hartree Fock ◽  
Dipole Resonance ◽  
Pygmy Dipole Resonance

We investigate isovector pygmy dipole resonance (IVPDR) for the case of neutron-rich soft nuclei 68 Ni , and heavy nuclei such as 112 Sn and 208 Pb using effective nucleon–nucleon Skyrme interaction. We use the mean-field theory and employ the random phase approximation (RPA). We observe that our results for the pygmy dipole resonance (PDR) for neutron-rich nuclei are in reasonable agreement with their experimental results. We also predict PDR for very neutron-rich heavy nuclei. We then study two-neutron separation Skyrme energies (S2n) using the Hartree–Fock + BCS with and without tensor interaction in the same nucleus and compare our results with their experimental values. We see that the total binding energies of nuclei 208 Pb are not extremely sensitive to the tensor interaction.

ISOVECTOR PYGMY DIPOLE EXCITATION IN NEUTRON-RICH NUCLEI

2010 ◽  
Vol 25 (34) ◽  
pp. 2905-2913 ◽  
Author(s):  
KUTSAL BOZKURT
Keyword(s):  
Random Phase ◽  
Nucleon Nucleon ◽  
Strength Distribution ◽  
Experimental Results ◽  
Heavy Nuclei ◽  
Quasiparticle Random Phase Approximation ◽  
Dipole Excitation ◽  
Dipole Resonance ◽  
Pygmy Dipole Resonance ◽  
Full Interaction

We investigate isovector pygmy dipole resonance (IVPDR) for the case of neutron-rich nuclei 68 Ni , 130 Sn and 134 Sn using effective nucleon–nucleon Skyrme interaction. We use the Hartree–Fock–Bogoliubov (HFB) theory and employ the (quasiparticle) random phase approximation (Q)RPA. We calculate and compare the PDR strength in the PDR energy region for the case of density dependent central and full interaction modes for RPA and QRPA calculations. We observe that the results for the pygmy dipole resonance for neutron-rich soft nuclei 68 Ni that we consider are in reasonable agreement with their experimental results in both interactions and calculations. We also study the PDR for highly neutron-rich heavy nuclei, such as 130 Sn and 134 Sn . We see that only the QRPA calculation with full interaction is in good agreement with the experimental results for these nuclei and with a recent study in the literature. We find that the PDR strength distribution sensitively depends on the chosen interaction modes, especially for the neutron-rich heavy nuclei 134 Sn .

Nuclear structure and decay properties of Nd isotopes

2018 ◽  
Vol 27 (07) ◽  
pp. 1850059
Author(s):  
M. Ouhachi ◽  
M. R. Oudih ◽  
M. Fellah ◽  
N. H. Allal
Keyword(s):  
Mean Field Theory ◽  
Mean Field ◽  
Drip Line ◽  
Binding Energies ◽  
Neutron Drip Line ◽  
Nd Isotopes ◽  
Decay Modes ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Decay Properties

Using the Hartree–Fock–Bogoliubov mean-field theory, the ground-state structural and decay properties of Nd isotopes are investigated from the proton-rich side up to the neutron drip-line. Quantities such as binding energies per nucleon, one and two-neutron separation energies, rms charge radii, and quadrupole deformation parameters have been calculated. Compared with the relativistic mean-field results, the present calculations are in better agreement with the available experimental data. The results show clearly the signature of a shape transition at [Formula: see text] and an abrupt increase in the deformation near the neutron drip-line. Further, the possible decay modes like alpha, cluster and [Formula: see text]-decay are analyzed in a unified fission model and phenomenological formulas. Overall, a good agreement is achieved between the calculated and experimental [Formula: see text]-values and half-lives wherever available. The most likely decay modes are thus identified throughout the isotopic chain.

AN INVESTIGATION OF THE NUCLEAR STRUCTURES OF EVEN–EVEN NEUTRON-RICH Sr, Zr AND Mo ISOTOPES

2013 ◽  
Vol 28 (05) ◽  
pp. 1350007 ◽  
Author(s):  
HÜSEYIN AYTEKIN ◽  
OZAN ARTUN
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field ◽  
Mass Region ◽  
Skyrme Force ◽  
Binding Energies ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Nuclear Structures ◽  
Mo Isotopes

Binding energies and their differences are investigated to evaluate the two-neutron separation energies (S2n), the two-proton separation energies (S2p) and the average proton–neutron interaction strengths (δVpn) of neutron-rich Sr , Zr and Mo isotopes in the mass region A = 86–110, including even–even nuclei. Calculations were performed using the Hartree–Fock–Bogoliubov (HFB) method with different Skyrme force parametrizations. The obtained results are discussed and compared with the results of experimental and relativistic mean-field theory (RMFT).

scholarly journals ENERGY SYSTEMATICS OF HEAVY NUCLEI — MEAN FIELD MODELS IN COMPARISON

2011 ◽  
Vol 20 (06) ◽  
pp. 1379-1390 ◽  
Author(s):  
P.-G. REINHARD ◽  
B. K. AGRAWAL
Keyword(s):  
Mean Field ◽  
Binding Energies ◽  
Superheavy Nuclei ◽  
Heavy Nuclei ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Mean Field Models ◽  
Opposite Trend ◽  
Super Heavy Nuclei ◽  
Rmf Model

We compare the systematics of binding energies computed within the standard and extended versions of the relativistic mean-field (RMF) model and the Skyrme–Hartree–Fock (SHF) model. The general trends for the binding energies for super-heavy nuclei are significantly different for these models. The SHF models tend to underbind the superheavy nuclei, while RMF models show just the opposite trend. The extended RMF model seems to provide remarkable improvements over the results obtained for the standard RMF model.

scholarly journals Ground state properties of even–even and odd Nd, Ce and Sm isotopes in Hartree–Fock–Bogoliubov method

2015 ◽  
Vol 24 (10) ◽  
pp. 1550073 ◽  
Author(s):  
Y. El Bassem ◽  
M. Oulne
Keyword(s):  
Ground State ◽  
Mean Field ◽  
Nucleon Nucleon ◽  
Binding Energies ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Pairing Strength ◽  
Ground State Properties ◽  
Nucleon Nucleon Interaction ◽  
Strength Formula

In this work, we have studied the ground state properties of both even–even and odd Nd isotopes within Hartree–Fock–Bogoliubov method with SLy5 Skyrme force in which the pairing strength has been generalized with a new proposed formula. We calculated binding energies, two-neutron separation energies, quadrupole deformation, charge, neutron and proton radii. Similar calculations have been carried out for Ce and Sm in order to verify the validity of our pairing strength formula. The results have been compared with available experimental data, the results of Hartree–Fock–Bogoliubov calculations based on the D1S Gogny effective nucleon–nucleon interaction and predictions of some nuclear models such as finite range droplet model (FRDM) and relativistic mean field (RMF) theory.

RELATIVISTIC MEAN FIELD THEORETICAL FOUNDATION OF THE DROPLET MODEL FOR NUCLEI

2002 ◽  
Vol 11 (01) ◽  
pp. 55-65 ◽  
Author(s):  
CHUN-YUAN GAO ◽  
QI-REN ZHANG
Keyword(s):  
Mass Formula ◽  
Energy Surface ◽  
Theoretical Foundation ◽  
Mean Field Theory ◽  
Mean Field ◽  
Binding Energies ◽  
Droplet Model ◽  
Relativistic Mean Field ◽  
Theoretical Foundations ◽  
Type Mass

The binding energies per-nucleon for 1654 nuclei, whose mass numbers range from 16 to 263 and charge numbers range from 8 to 106, are calculated by the relativistic mean field theory, with finite nucleon size effect being taken into account. The calculated energy surface goes through the middle of experimental points, and the root mean square deviation for the binding energies per-nucleon is 0.08163 MeV. The numerical results may be well simulated by a droplet model type mass formula. The droplet model is therefore put on the relativistic mean field theoretical foundations.

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