scholarly journals STUDY OF TWO-PROTON RADIOACTIVITY WITHIN THE RELATIVISTIC MEAN-FIELD PLUS BCS APPROACH

2012 ◽  
Vol 21 (09) ◽  
pp. 1250076 ◽  
Author(s):  
D. SINGH ◽  
G. SAXENA
Keyword(s):  
Ground State ◽  
Experimental Studies ◽  
Mean Field ◽  
Mass Region ◽  
Separation Energy ◽  
Relativistic Mean Field ◽  
Ground State Properties ◽  
State Dependent ◽  
Proton Separation Energy ◽  
Proton Radioactivity

Inspired by recent experimental studies of two-proton radioactivity in the light-medium mass region, we have employed relativistic mean-field plus state-dependent BCS approach (RMF+BCS) to study the ground state properties of selected even-Z nuclei in the region 20 ≤ Z ≤ 40. It is found that the effective potential barrier provided by the Coulomb interaction and that due to centrifugal force may cause a long delay in the decay of some of the nuclei even with small negative proton separation energy. This may cause the existence of proton-rich nuclei beyond the proton drip-line. Nuclei 38 Ti , 42 Cr , 45 Fe , 48 Ni , 55 Zn , 60 Ge , 63, 64 Se , 68 Kr , 72 Sr and 76 Zr are found to be the potential candidates for exhibiting two-proton radioactivity in the region 20 ≤ Z ≤ 40. The reliability of these predictions is further strengthened by the agreement of the calculated results for the ground state properties such as binding energy, one- and two-proton separation energy, proton and neutron radii, and deformation with the available experimental data for the entire chain of the isotopes of the nuclei in the region 20 ≤ Z ≤ 40.

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.

TABLE OF GROUND STATE PROPERTIES OF NUCLEI IN THE RMF MODEL

2013 ◽  
Vol 28 (16) ◽  
pp. 1350068 ◽  
Author(s):  
TUNCAY BAYRAM ◽  
A. HAKAN YILMAZ
Keyword(s):  
Ground State ◽  
Mean Field ◽  
Properties Of Nuclei ◽  
Relativistic Mean Field ◽  
Ground State Properties ◽  
Pairing Correlations ◽  
Ground State Energies ◽  
Rmf Model

The ground state energies, sizes and deformations of 1897 even–even nuclei with 10≤Z ≤110 have been carried out by using the Relativistic Mean Field (RMF) model. In the present calculations, the nonlinear RMF force NL3* recent refitted version of the NL3 force has been used. The BCS (Bardeen–Cooper–Schrieffer) formalism with constant gap approximation has been taken into account for pairing correlations. The predictions of RMF model for the ground state properties of some nuclei have been discussed in detail.

Ground State Properties of Z = 114 Isotopes in the Relativistic Mean-Field Theory

1997 ◽  
Vol 14 (4) ◽  
pp. 259-262 ◽  
Author(s):  
Ren Zhong-zhou ◽  
Zhu Zhi-yuan ◽  
Cai Yan-huang ◽  
Shen Yao-song ◽  
Zhan Wen-long ◽  
...  
Keyword(s):  
Field Theory ◽  
Ground State ◽  
Mean Field Theory ◽  
Mean Field ◽  
Relativistic Mean Field Theory ◽  
Relativistic Mean Field ◽  
Ground State Properties

scholarly journals STUDY OF NEUTRON MAGIC DRIP-LINE NUCLEI WITHIN RELATIVISTIC MEAN-FIELD PLUS BCS APPROACH

2013 ◽  
Vol 22 (05) ◽  
pp. 1350025 ◽  
Author(s):  
G. SAXENA ◽  
D. SINGH
Keyword(s):  
Ground State ◽  
Mean Field ◽  
Neutron Number ◽  
Drip Line ◽  
Proton Drip Line ◽  
General Validity ◽  
Relativistic Mean Field ◽  
Ground State Properties ◽  
Resonant States ◽  
Pairing Correlations

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.

scholarly journals PROTON DRIPLINE FOR ISOTONE N = 18, 20, AND 22 USING MODIFIED RELATIVISTIC MEAN FIELD (MRMF) MODEL

2019 ◽  
Vol 4 (1) ◽  
pp. 1-10
Author(s):  
Jenny Primanita Diningrum ◽  
Anto Sulaksono
Keyword(s):  
Fermi Energy ◽  
Calculation Result ◽  
Research Result ◽  
Mean Field ◽  
Separation Energy ◽  
Relativistic Mean Field ◽  
Proton Separation Energy ◽  
Position Prediction

Determining the position of one- and two-proton dripline for isotone of N = 18, 20, and 22 has been studied through Modified Relativistic Mean Field (MRMF). The model exemplifies three impacts, namely isovector-isoscalar coupling, tensors, and electromagnetic exchange through five parameter set variations. The position of one- and two-proton dripline for the isotones is predicted by applying two methods, which are two-proton separation energy, and Fermi energy. The research shows that the prediction of one- and two-proton dripline for isotone of N = 18, and N = 20 is positioned at Z = 22 and Z = 26 consecutively.  Then, the prediction of one- and two-proton dripline for isotone of N = 22 has two positions, Z = 26 and Z = 28. The calculation result indicates that the position prediction for isotone of N = 18, N = 20, and N = 22 is following the research result conducted by Nazarewicz with RMF+NLSH model [1]. Meanwhile, isovector-isoscalar coupling, tensors, and electromagnetic exchange do not affect massively for the position prediction of two-proton dripline. However, the three methods affect one-proton dripline.

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