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.

TEST OF NL-RA1 RELATIVISTIC EFFECTIVE INTERACTION FOR THE STRUCTURE OF DEFORMED AND SUPERHEAVY NUCLEI

2012 ◽  
Vol 21 (06) ◽  
pp. 1250055 ◽  
Author(s):  
M. RASHDAN
Keyword(s):  
Effective Interaction ◽  
Mean Field Theory ◽  
Mean Field ◽  
Superheavy Element ◽  
Decay Chain ◽  
Alpha Decay ◽  
Binding Energies ◽  
Superheavy Nuclei ◽  
Relativistic Mean Field ◽  
Relative Errors

The NL-RA1 effective interaction of the relativistic mean field theory is employed to study the structure of deformed and superheavy nuclei, using an axially deformed harmonic oscillator basis. It is found that a fair agreement with the experimental data is obtained for the binding energies (BE), deformation parameters and charge radii. Comparison with NL-Z2, NLSH and NL3 interactions show that NL-Z2 gives good binding but larger radii, while NL-SH gives good radii but larger binding. The NL-RA1 interaction is also tested for the new deformed superheavy element with Z≥98. Excellent agreement with the experimental binding is obtained, where the relative error in BEs of Cf, Fm, No, Rf, Sg and Ea (Z = 110) isotopes are found to be of the order ~0.1%. The NL3 predicted larger binding and larger relative errors ~0.2–0.5%. Furthermore, the experimental Q-values of the alpha-decay of the superheavy elements 270110, 288114 and 292116 are satisfactory reproduced by NL-RA1 interaction, where the agreement is much better than that predicted by the phenomenological mass FRDM model. Furthermore, the alpha-decay chain of element 294118 are also better reproduced by NL-RA1 interaction.

scholarly journals THE α-DECAY CHAINS OF THE 287, 288115 ISOTOPES USING RELATIVISTIC MEAN FIELD THEORY

2011 ◽  
Vol 20 (10) ◽  
pp. 2217-2228 ◽  
Author(s):  
B. K. SAHU ◽  
M. BHUYAN ◽  
S. MAHAPATRO ◽  
S. K. PATRA
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field ◽  
Superheavy Element ◽  
Binding Energies ◽  
Experimental Result ◽  
Relativistic Mean Field Theory ◽  
Α Decay ◽  
Relativistic Mean Field ◽  
Quadrupole Deformation Parameter

We study the binding energy, root-mean-square radius and quadrupole deformation parameter for the synthesized superheavy element Z = 115, within the formalism of relativistic mean field theory. The calculation is dones for various isotopes of Z = 115 element, starting from A = 272 to A = 292. A systematic comparison between the binding energies and experimental data is made.The calculated binding energies are in good agreement with experimental result. The results show the prolate deformation for the ground state of these nuclei. The most stable isotope is found to be 282115 nucleus (N = 167) in the isotopic chain. We have also studied Qα and Tα for the α-decay chains of 287, 288115.

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.

GROUND STATE PROPERTIES OF EXTREME NEUTRON RICH ISOTOPES OBSERVED: A RELATIVISTIC MEAN FIELD APPROACH

2011 ◽  
Vol 20 (11) ◽  
pp. 2293-2303 ◽  
Author(s):  
PROVASH MALI
Keyword(s):  
Ground State ◽  
Mean Field ◽  
Mass Region ◽  
Binding Energies ◽  
Droplet Model ◽  
Shell Effects ◽  
Relativistic Mean Field ◽  
Ground State Properties ◽  
Neutron Rich Isotopes ◽  
Good Agreement

The ground state properties namely the binding energy, the root mean square (rms) radius (neutron, proton and charge) and the deformation parameter of 45 newly identified neutron-rich isotopes in the A~71–152 mass region have been predicted in the relativistic mean filed (RMF) framework along with the Bardeen–Cooper–Schrieffer (BCS) type of pairing. Validity of the RMF results with the NL3 effective force are tested for odd-A Zn and Rh isotopic chains without taking the time reversal symmetry breaking effects into consideration. The RMF prediction on the binding energies are in good agreement with the empirical/finite-range droplet model calculation. The shell effects on the rms radii of odd-A Zn and Rh isotopes are nicely reproduced. The possibility of shape-coexistence in the newly identified nuclei is discussed.

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).

RHO-MESON-NUCLEON COUPLING IN RELATIVISTIC MEAN FIELD THEORY

1991 ◽  
Vol 06 (35) ◽  
pp. 3213-3219
Author(s):  
S. K. PATRA ◽  
C. R. PRAHARAJ
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field ◽  
Binding Energies ◽  
Coupling Constant ◽  
Relativistic Mean Field Theory ◽  
Rho Meson ◽  
Relativistic Mean Field ◽  
Deformation Parameters ◽  
Finite Nuclei

We obtain a more accurate rho-meson-nucleon coupling constant gρ for studying nuclei in relativistic mean field theory of nucleons and mesons than used before. With this gρ we get a better description of finite nuclei. We have studied a number of isotopic chains of neutron-rich nuclei using the new gρ parameter, with important consequences for very neutron-rich exotic nuclei and the neutron-drip line. The binding energies are sensitive to the coupling constant gρ, but the rms radii and deformation parameters of nuclei are not at all sensitive to gρ.

A study of nuclear structure for 244Cm, 241Am, 238Pu, 210Po, 147Pm, 137Cs, 90Sr and 63Ni nuclei used in nuclear battery

2017 ◽  
Vol 32 (22) ◽  
pp. 1750117 ◽  
Author(s):  
Ozan Artun
Keyword(s):  
Nuclear Structure ◽  
Mean Field Theory ◽  
Mean Field ◽  
Nuclear Data ◽  
Binding Energies ◽  
Neutron Density ◽  
Neutron Skin ◽  
Relativistic Mean Field ◽  
Proton Charge ◽  
Nuclear Battery

In this paper, we intend to extend the nuclear data of [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] nuclei used in nuclear battery technology, because, these nuclei are quite important for space investigations in radioisotope thermoelectric generator (RTG) and for microelectronic technologies in betavoltaic batteries. Therefore, the nuclear structure properties of nuclei such as separation energies, neutron skin thicknesses, proton, charge and neutron density distributions as a function of radius, the root mean square (rms) proton, charge and neutron radii, binding energies per particle, have been investigated by Hartree–Fock with eight different Skyrme forces. The obtained results have been compared with the experimental data in literature and relativistic mean field theory (RMFT) results.

STRUCTURE OF LIGHT NUCLEI IN RELATIVISTIC MEAN FIELD THEORY

1993 ◽  
Vol 02 (02) ◽  
pp. 471-477 ◽  
Author(s):  
S.K. PATRA
Keyword(s):  
Field Theory ◽  
Field Model ◽  
Mean Field Theory ◽  
Mean Field ◽  
Binding Energies ◽  
Experimental Results ◽  
Light Nuclei ◽  
Mean Field Model ◽  
Bulk Properties ◽  
Relativistic Mean Field

Bulk properties such as the binding energies and rms radii are calculated for some light (Z=1−8) nuclei using deformed relativistic mean-field model. Severe discrepancy between the calculated and experimental results are pointed out for the very light nuclei. We discuss possible causes of discrepancy for very light nuclei.

HALO IN THE EXCITED STATES FOR N = 41 ISOTONES

2006 ◽  
Vol 21 (36) ◽  
pp. 2751-2761
Author(s):  
MIAO YU ◽  
PENG-FEI ZHANG ◽  
TU-NAN RUAN ◽  
JIAN-YOU GUO
Keyword(s):  
Field Theory ◽  
Excited State ◽  
Excited States ◽  
Mean Field Theory ◽  
Mean Field ◽  
Binding Energies ◽  
Neutron Halo ◽  
Relativistic Mean Field Theory ◽  
Relativistic Mean Field ◽  
First Excited State

The properties of N = 41 isotones are investigated systemically by using the nonlinear relativistic mean field theory. It is found that all the calculating binding energies with four different interactions are comparable for the ground and low-lying excited states, and very close to the data available. The calculations show that there exists a neutron halo in the first excited state in 69 Ni , as well as in the second excited state in 69 Ni . It is also predicted that there exists a neutron halo in the first excited state in 65 Cr , 66 Mn , 67 Fe and 68 Co .

scholarly journals A NEW PARAMETER SET FOR THE RELATIVISTIC MEAN FIELD THEORY

2004 ◽  
Vol 13 (01) ◽  
pp. 75-78 ◽  
Author(s):  
BOŻENA NERLO-POMORSKA ◽  
JOANNA SYKUT
Keyword(s):  
Field Theory ◽  
Root Mean Square ◽  
Mean Field Theory ◽  
Mean Field ◽  
Binding Energies ◽  
Mean Square ◽  
Relativistic Mean Field Theory ◽  
Relativistic Mean Field ◽  
Optimal Set

Subtracting the Strutinsky shell corrections from the selfconsistent energies obtained within the Relativistic Mean Field Theory (RMFT) we have got estimates for the macroscopic part of the binding energies of 142 spherical even-even nuclei. By minimizing their root-mean-square deviations from the values obtained with the Lublin-Srasbourg Drop (LSD) model with respect to the nine RMFT parameters we have found the optimal set (NL4). The new parameters reproduce also the radii of these nuclei with an accuracy comparable to that obtained with the NL1 and NL3 sets.

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