scholarly journals Isotopic shift in magic nuclei within relativistic mean-field formalism

2021 ◽  
Author(s):  
Jeet Amrit Pattnaik ◽  
M. Bhuyan ◽  
R N Panda ◽  
S K Patra
Keyword(s):  
Mean Field ◽  
Magic Number ◽  
Electronic Configuration ◽  
Neutron Number ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Magic Numbers ◽  
Isotopic Chain ◽  
Relativistic Mean Field ◽  
Higher Spin

Abstract The ground-state properties such as binding energy, root-mean-square radius, pairing energy, nucleons density distribution, symmetry energy, and single-particle energies are calculated for the isotopic chain of Ca, Sn, Pb, and Z = 120 nuclei. The recently developed G3 and IOPB-I forces along with the DD-ME1 and DD-ME2 sets are used in the analysis employing the relativistic mean-field approximation. To locate the magic numbers in the superheavy region and to explain the observed kink at neutron number N=82 for Sn isotopes, a three-point formula is used to see the shift of the observable and other nuclear properties in the isotopic chain. Unlike the electronic configuration, due to strong spin-orbit interaction, the higher spin orbitals are occupied earlier than the lower spin, causing the possible kink at the neutron magic numbers. We find peaks at the known neutron magic number with the confirmation of sub-shell, shell closure respectively at N=40, 184 for Ca and 304120.

scholarly journals Relativistic mean field approximation to the analysis of16O(e,e′p)15Ndata at|Q2|<~0.4 (GeV/c)2

2001 ◽  
Vol 64 (2) ◽  
Author(s):  
J. M. Udías ◽  
J. A. Caballero ◽  
E. Moya de Guerra ◽  
Javier R. Vignote ◽  
A. Escuderos
Keyword(s):  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Relativistic Mean Field

scholarly journals IN-MEDIUM PROPERTIES OF KAONS IN A CHIRAL APPROACH

2008 ◽  
Vol 17 (09) ◽  
pp. 1895-1905
Author(s):  
YUE-LEI CUI ◽  
BAO-XI SUN
Keyword(s):  
Nuclear Matter ◽  
Effective Mass ◽  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Nuclear Density ◽  
Relativistic Mean Field ◽  
Self Energy ◽  
Sigma Term ◽  
Scattering Matrix Elements

The first order self-energy corrections of the kaon in the symmetric nuclear matter are calculated from kaon-nucleon scattering matrix elements using a chiral Lagrangian within the framework of relativistic mean field approximation. It shows that the effective mass and the potential of K+ meson are identical with those of K- meson in the nuclear matter, respectively. The effective mass of the kaon in the nuclear matter decreases with the nuclear density increasing, and is not relevant to the kaon-nucleon Sigma term. The kaon-nucleus potential is positive and increases with the nuclear density. Moreover, the influence of the resonance Λ(1405) on the K--nucleus potential due to the re-scattering term is discussed. Our results indicate the K- meson could not be bound in the nuclei even if the contribution of Λ(1405) resonance is considered.

Cluster decay half-lives in trans-tin and transition metal region using RMF theory

2021 ◽  
Author(s):  
Ajeet Singh ◽  
A Shukla ◽  
M K Gaidarov
Keyword(s):  
Transition Metal ◽  
Scaling Law ◽  
Mean Field ◽  
Magic Number ◽  
Neutron Number ◽  
Cluster Decay ◽  
Relativistic Mean Field ◽  
Empirical Relations ◽  
In Trans ◽  
Rmf Model

Abstract In the present work, we have studied the alpha-like clusters (8Be, 12C, 16O, 20Ne, and 24Mg) decay half-lives in the trans-tin region for (106-116Xe, 108-122Ba, 114-124Ce, and 118-128Nd) and in transition metal region for (156-166Hf, 158-172W, 160-174Os, 166-180Pt, and 170-182Hg) nuclei. These half-lives have been calculated using the shape parametrization model of cluster decay in conjunction with the relativistic mean-field (RMF) model with the NL3* parameter set. Thus calculated cluster decay half-lives are also compared with the half-lives computed using the latest empirical relations, namely Universal decay law (UDL) and the Scaling Law given by Horoi et al.. From the calculated results, it has been observed that in the trans-tin region, the minimum cluster decay half-lives are found at nearly doubly magic or doubly magic daughter 100Sn (Nd = 50, Nd is the neutron number of the daughter nuclei) shell effect at Nd = 50 and in transition metal region, half-lives are minimum at Nd = 82, which is a magic number. Further, the Geiger-Nuttal plots of half-lives showing Q dependence for different alpha-like clusters from various CR emitters that have been plotted are found to vary linearly.

scholarly journals Model of multiple Dirac eikonal scattering of protons by nuclei

2018 ◽  
Vol 27 (10) ◽  
pp. 1850088
Author(s):  
V. V. Pilipenko ◽  
V. I. Kuprikov
Keyword(s):  
Target Nucleus ◽  
Mean Field ◽  
Eikonal Approximation ◽  
Diffraction Theory ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Multiple Diffraction ◽  
Model Calculations ◽  
Relativistic Mean Field ◽  
Nucleus Structure

The model of multiple Dirac eikonal scattering (MDES) of incident proton by target-nucleus nucleons is developed, in which new expressions for the elastic [Formula: see text]-scattering amplitudes are obtained from the multiple scattering Watson series with employing the eikonal approximation for the Dirac propagators of the free proton motion between successive scattering acts on nucleons. Based on this model, calculations for the complete set of observables of the elastic [Formula: see text] and [Formula: see text]Pb at 800[Formula: see text]MeV have been performed, using proton–nucleon amplitudes determined from the phase analysis and the nucleon densities obtained from describing the target-nucleus structure in the relativistic mean-field approximation. A comparison has been made of the results of these calculations with analogous calculations on the basis of the Glauber multiple diffraction theory.

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