Investigation of proton emission using deformed relativistic mean field densities

2019 ◽  
Vol 28 (11) ◽  
pp. 1950095 ◽  
Author(s):  
T. Sahoo ◽  
Manpreet Kaur ◽  
R. N. Panda ◽  
Piyush R. Das ◽  
S. K. Patra
Keyword(s):  
Bound States ◽  
Mean Field ◽  
Nucleon Nucleon ◽  
Proton Decay ◽  
Particle Energy ◽  
Nuclear Potential ◽  
Proton Emission ◽  
Relativistic Mean Field ◽  
Total Interaction ◽  
Nucleon Nucleon Interaction

The proton emission in neutron deficient nuclei with [Formula: see text] has been investigated within the framework of axially deformed relativistic mean field (RMF) theory using NL3 and density-dependent DD-ME1 and DD-ME2 parameters. The quasi-bound states from which the proton emission is probable are determined. The RMF densities are folded with the M3Y effective nucleon–nucleon interaction to obtain the nuclear potential. The total interaction potential consisting of nuclear, Coulomb and centrifugal potentials is used to calculate the proton decay half-lives using the Wentzel–Kramers–Brillouin (WKB) approximation. For this, we have used the [Formula: see text], [Formula: see text] being the single-particle energy of the decaying proton near the Fermi surface. The calculated proton decay half-lives for different nuclei are in consonance with experimental data.

STUDY OF NUCLEAR BOUND STATES USING MEAN-FIELD WOODS–SAXON AND SPIN-ORBIT POTENTIALS

2012 ◽  
Vol 27 (29) ◽  
pp. 1250167 ◽  
Author(s):  
M. R. PAHLAVANI ◽  
S. A. ALAVI
Keyword(s):  
Differential Equation ◽  
Single Particle ◽  
Bound States ◽  
Numerical Solutions ◽  
Mean Field ◽  
Particle Energy ◽  
Nuclear Potential ◽  
Spin Orbit ◽  
Energy Eigenvalues ◽  
Special Cases

The neutron single-particle bound states as solutions of radial Schrödinger equation for the central Woods–Saxon potential together with spin-orbit interaction and centrifugal terms have been obtained analytically. By introducing new variable and using Taylor expansion, the differential equation has been transformed to solvable hypergeometric type. This differential equation has also been solved using Nikiforov–Uvarov (NU) method. Neutron single-particle states have been derived as self-adjoint form of hypergeometric series. By means of boundary conditions, which implies eigenvalue condition as complicated relation between energy eigenvalues and parameters of nuclear potential, the neutron single-particle energy eigenvalues have been derived using graphical method. To examine method, numerical results in special cases of S states are evaluated. Results obtained using this method are in satisfactory agreements with available numerical solutions.

scholarly journals LAMBDA AND ANTI-LAMBDA HYPERNUCLEI IN RELATIVISTIC MEAN-FIELD THEORY

2010 ◽  
Vol 19 (12) ◽  
pp. 2538-2545 ◽  
Author(s):  
C. Y. Song ◽  
J. M. Yao ◽  
H. F. Lü ◽  
J. Meng
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field ◽  
Nucleon Nucleon ◽  
Impurity Effect ◽  
Nucleon Interaction ◽  
Relativistic Mean Field Theory ◽  
Relativistic Mean Field ◽  
Coupling Strengths ◽  
Nucleon Nucleon Interaction

Several aspects about Λ-hypernuclei in the relativistic mean field theory, including the effective Λ-nucleon coupling strengths based on the successful effective nucleon-nucleon interaction PK1, hypernuclear magnetic moment and [Formula: see text]-hypernuclei, have been presented. The effect of tensor coupling in Λ-hypernuclei and the impurity effect of [Formula: see text] to nuclear structure have been discussed in detail.

scholarly journals IMPORTANCE OF Q-VALUES IN ASTROPHYSICAL RAPID PROTON CAPTURE PROCESS

2013 ◽  
Vol 28 (17) ◽  
pp. 1350076 ◽  
Author(s):  
CHIRASHREE LAHIRI ◽  
G. GANGOPADHYAY
Keyword(s):  
Optical Model ◽  
Mean Field ◽  
Reaction Rates ◽  
Nucleon Nucleon ◽  
Proton Capture ◽  
Capture Process ◽  
Relativistic Mean Field ◽  
Rapid Proton ◽  
Nucleon Nucleon Interaction ◽  
Q Values

The importance of measuring Q-values in rapid proton capture process has been investigated. The microscopic optical model, derived using a nucleon–nucleon interaction and densities from relativistic mean field (RMF) calculations, has been utilized to calculate the reaction rates. It has been observed that the Q-values involved in the reactions at waiting points at A = 60 and 64 are very important in determining the final abundance of the process. Some other Q-values also play a crucial role in the final abundance of nuclei near the end point of the process.

PSEUDOSPIN SYMMETRY AND THE NUCLEON–NUCLEON INTERACTION

2005 ◽  
Vol 14 (01) ◽  
pp. 105-110 ◽  
Author(s):  
JOSEPH N. GINOCCHIO
Keyword(s):  
Sum Rules ◽  
Mean Field ◽  
Pseudospin Symmetry ◽  
Nucleon Nucleon ◽  
Nucleon Interaction ◽  
Relativistic Mean Field ◽  
The Status ◽  
Fundamental Reason ◽  
Nucleon Nucleon Interaction ◽  
Scalar Potentials

Pseudospin symmetry is an approximate relativistic symmetry of the nucleus as demonstrated by experimental data. This symmetry follows from the fact that the vector and scalar potentials of nucleons moving in a relativistic mean field are approximately equal in magnitude and opposite in sign. QCD sum rules in nuclear matter support this conclusion. Such an observation suggests a fundamental reason for pseudospin symmetry. We review the status of pseudospin symmetry conservation in the nucleon–nucleon interaction.

scholarly journals Importance of α-induced reactions and the inverse (γ,α) process on p-nuclei

2019 ◽  
Vol 34 (38) ◽  
pp. 1950318
Author(s):  
Chirashree Lahiri
Keyword(s):  
Cross Sections ◽  
Mean Field ◽  
Reaction Rates ◽  
Nucleon Nucleon ◽  
Reaction Cross ◽  
Relativistic Mean Field ◽  
Density Distributions ◽  
Nucleon Nucleon Interaction ◽  
Double Folding ◽  
Microscopic Optical Potential

We have calculated astrophysical reaction cross-sections for [Formula: see text] reactions of some nuclei important for the calculation of p-process reaction-decay network. Reaction rates for [Formula: see text]-induced reactions are calculated with the semi-microscopic optical potential constructed using double folding method, where nuclear density distributions for finite nuclei along with the effective nucleon–nucleon interaction are the important components of the folded potential. For this purpose, density distributions of target nuclei are obtained from relativistic mean field approach. Astrophysical reaction cross-section for elastic scattering of [Formula: see text]-particle from [Formula: see text] target is compared with the existing experimental results to constrain the newly formed potential. Further, to check the credibility of the present theoretical framework, the astrophysical S-factor for [Formula: see text] reactions are compared with the experimental observation, wherever available. Finally, an estimate of dominant photodisintegration channels at various astrophysical temperature is discussed for p-nuclei [Formula: see text] and [Formula: see text].

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.

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