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.

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.

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).

Calculation of the thermodynamic quantities of perovskite metal organics DMAKCr and perovskite HyFe close to the weakly first-order relaxor-like structural transformation using the mean field theory

2019 ◽  
Vol 33 (11) ◽  
pp. 1950103 ◽  
Author(s):  
H. Yurtseven ◽  
Ö. Tarı
Keyword(s):  
Field Theory ◽  
Field Model ◽  
Mean Field Theory ◽  
Mean Field ◽  
Excess Heat Capacity ◽  
Mean Field Model ◽  
First Order ◽  
Entropy Formula ◽  
Inverse Susceptibility ◽  
The Mean

Weakly first-order or nearly second-order phase transitions occurring in metal–organic frameworks (MOFs), particularly in DMAKCr and perovskite HyFe, are studied under the mean field model by using the observed data from the literature. In this work, mainly thermal and magnetic properties among various physical properties which have been reported in the literature for those MOFs are studied by the mean field theory. By expanding the free energy in terms of the magnetization (order parameter), the excess heat capacity ([Formula: see text]C[Formula: see text]) and entropy ([Formula: see text]S), latent heat (L), magnetization (M) and the inverse susceptibility ([Formula: see text]) are calculated as a function of temperature close to the weakly first-order phase transition within the Landau phenomenological model which is fitted to the experimental data from the literature for C[Formula: see text] (DMAKCr and perovskite HyFe) and for magnetization M (HyFe). Our predictions of the excess heat capacity ([Formula: see text]C[Formula: see text]) and entropy ([Formula: see text]S) agree below T[Formula: see text] with the observed data within the temperature intervals studied for DMAKCr and perovskite HyFe. From our predictions, we find that magnetization decreases continuously whereas the inverse susceptibility decreases linearly with increasing temperature toward the transition temperature in those MOFs as expected for a weakly first-order transition from the mean field model.

ELECTROMAGNETIC AND ISOVECTOR TERMS IN STANDARD RELATIVISTIC MEAN FIELD MODEL

2011 ◽  
Vol 20 (09) ◽  
pp. 1983-2010 ◽  
Author(s):  
A. SULAKSONO
Keyword(s):  
Nuclear Matter ◽  
Field Model ◽  
Local Density ◽  
Mean Field ◽  
Binding Energies ◽  
Particle Spectrum ◽  
Mean Field Model ◽  
Density Dependent ◽  
Relativistic Mean Field ◽  
Finite Nuclei

The effects of auxiliary contribution in forms of electromagnetic tensors and relativistic electromagnetic exchange in local density approximation as well as δ meson and isovector density-dependent nonlinear terms in standard relativistic mean field model constrained by nuclear matter stability criteria in some selected finite nuclei and nuclear matter properties are studied. It is found that in the case of finite nuclei, the electromagnetic tensors play the most dominant part compared to other auxiliary terms. Due to the presence of electromagnetic tensors, the binding energies prediction of the model can be improved quite significantly. However, these terms do not yield demanded effects for rms radii prediction. In the case of nuclear matter properties, the isovector density-dependent nonlinear term plays the most crucial role in providing predictions which are quite compatible with experimental constraints. We have also shown these auxiliary contributions are indeed unable to improve the single particle spectrum results of the model.

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.

On the Vanishing of Spherical Shell Gap at N = 28 in 44S Using Relativistic Mean-Field Model

1997 ◽  
Vol 12 (18) ◽  
pp. 1317-1325 ◽  
Author(s):  
Raj K. Gupta ◽  
S. K. Patra ◽  
W. Greiner
Keyword(s):  
Spherical Shell ◽  
Ground State ◽  
Field Model ◽  
Mean Field ◽  
Light Nuclei ◽  
Shape Coexistence ◽  
Mean Field Model ◽  
Relativistic Mean Field ◽  
Pairing Strength ◽  
First Time

Use of the NL-SH parameter set is re-analyzed and a new parameter set TM2 is used for the first time in the axially deformed self-consistent relativistic mean-field calculations for 44 S and its neighboring nuclei 40 Mg and 42 Si . The spherical shell gap at N=28 in 44 S is found to be intact for the TM2 parameter set since it predicts the ground state of 44 S as nearly spherical, irrespective of the strength of the pairing force. The predictions of the NL-SH parameter set for 44 S are found to depend strongly on the pairing strength and, due to shape coexistence, the ground state could be strongly prolate or strongly oblate deformed. Hence, for the NL-SH parameter set, the spherical shell gap at N=28 in 44 S is broken for either of the prolate/oblate deformation. For 40 Mg and 42 Si , the spherical shell gap at N=28 is found broken under all conditions since the predicted deformations are large, independent of both the pairing strength and the choice of parameter set. This calls for immediate measurements of the deformations of these nuclei, particularly for 44 S which will decide its shell structure as well as the region of deformation in 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 .

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