scholarly journals Proton drip line nuclei in the Relativistic Hartree-Bogoliubov model

2019 ◽  
Vol 11 ◽  
Author(s):  
Georgios A. Lalazissis

The Relativistic Hartree Bogoliubov (RHB) theory is applied to the description of ground-state properties of proton-rich odd-Z nuclei. The model predicts the location of the proton drip-line, the ground-state quadrupole deformations and one-proton separation energies at and beyond the drip-line, the deformed single-particle Orbitals occupied by the odd valence proton, and the corresponding spectroscopic factors. The results of fully self-consistent RHB calculations are compared with experimental data on deformed and transitional proton emitters and the predictions of various mass models.

2013 ◽  
Vol 22 (05) ◽  
pp. 1350025 ◽  
Author(s):  
G. SAXENA ◽  
D. SINGH

Encouraged by the success of relativistic mean-field plus BCS (RMF + BCS) approach for the description of the ground state properties of the chains of isotopes of proton magic nuclei with proton number Z = 8, 20, 28, 50 and 82 as well as those of proton sub-magic nuclei with Z = 40, we have further employed it, in an analogous manner, for a detailed calculations of the ground state properties of the neutron magic isotones with neutron number N = 8, 20, 28, 50, 82 and 126 as well as those of neutron sub-magic isotones with N = 40 using the TMA force parametrizations in order to explore low lying resonance and other exotic phenomenon near drip-lines. The results of these calculations for wave function, single particle pairing gaps etc. are presented here to demonstrate the general validity of our RMF + BCS approach. It is found that, in some of the proton-rich nuclei in the vicinity of the proton drip-line, the main contribution to the pairing correlations is provided by the low-lying resonant states, in addition to the contributions coming from the states close to the Fermi surface, which results extended proton drip-line for isotonic chain.


2004 ◽  
Vol 13 (03) ◽  
pp. 647-696 ◽  
Author(s):  
H. L. YADAV ◽  
M. KAUSHIK ◽  
H. TOKI

Recently, it has been demonstrated, considering Ni and Ca isotopes as prototypes, that the relativistic mean-field plus BCS (RMF+BCS) approach wherein the single particle continuum corresponding to the RMF is replaced by a set of discrete positive energy states for the calculation of pairing energy provides a good approximation to the full relativistic Hartree–Bogoliubov (RHB) description of the ground state properties of drip-line neutron rich nuclei. The applicability of the RMF+BCS approach even for the drip-line nuclei is essentially due to the fact that the main contribution to the pairing correlations for the neutron rich nuclei is provided by the low-lying resonant states, in addition to the contributions coming from the states close to the Fermi surface. In order to show the general validity of this approach we present the results of our detailed calculations for the ground state properties of the chains of isotopes of O, Ca, Ni, Zr, Sn and Pb nuclei. The TMA force parameter set has been used for the effective mean-field Lagrangian with nonlinear terms for the sigma and omega mesons. Further, to check the validity of our treatment for different mean-field descriptions, calculations have also been carried out for the NL-SH force parametrization usually employed for the description of drip-line nuclei. Comprehensive results for the two neutron separation energy, rms radii, single particle pairing gaps and pairing energies etc. are presented. In particular, the Ca isotopes are found to exhibit distinct features near the neutron drip line whereby it is found that further addition of neutrons causes a rapid increase in the neutron rms radius with almost no increase in the binding energy, indicating the occurrence of halos. This is mainly caused by the pairing correlations and results in the existence of bound states of extremely neutron rich exotic nuclei. Similar characteristics, though less pronounced, are also exhibited by neutron rich Zr isotopes. A comparison of these results with the available experimental data and with the recent continuum relativistic Hartree–Bogoliubov (RCHB) calculations amply demonstrates the validity and usefulness of this fast RMF+BCS approach for the description of nuclei including those near the drip-lines.


2011 ◽  
Vol 695 (1-4) ◽  
pp. 78-81 ◽  
Author(s):  
I.G. Darby ◽  
R.D. Page ◽  
D.T. Joss ◽  
J. Simpson ◽  
L. Bianco ◽  
...  

1996 ◽  
Vol 53 (6) ◽  
pp. 2809-2840 ◽  
Author(s):  
J. Dobaczewski ◽  
W. Nazarewicz ◽  
T. R. Werner ◽  
J. F. Berger ◽  
C. R. Chinn ◽  
...  

2015 ◽  
Vol 18 (1) ◽  
pp. 92-101
Author(s):  
Son An Nguyen ◽  
Lanh Dang

The spin and parity of the excited state and the ground state of nuclei are two of important properties of the nuclei quantum. However, up to now we do not have appropriate equipments to directly detetmine the spin and parity of nuclei. This paper shows the application of nuclear shell model to study the spin and parity of intermediate levels and ground state of 59Fe nucleus. Comparing to previously experimental data, this nucleus singleparticle model is suitable of the average mass and odd A nuclei.


2016 ◽  
Vol 117 ◽  
pp. 06004 ◽  
Author(s):  
Lidia S. Ferreira ◽  
Enrico Maglione ◽  
Peter Ring

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