HYPERNUCLEAR PHYSICS STUDIED WITH THE SHELL AND CLUSTER MODELS

2009 ◽  
Vol 24 (11) ◽  
pp. 2091-2100 ◽  
Author(s):  
TOSHIO MOTOBA
Keyword(s):  
Shell Model ◽  
Cluster Model ◽  
Cluster Models ◽  
Model Application ◽  
Hypernuclear Physics

Prospects of interesting hypernuclear structures are discussed for typical light p-shell systems with the cluster model application and also for the medium-heavy systems with shell-model applications. Corresponding to the recent experimental progress, importance of production reaction spectroscopy are emphasized.

Mirror nuclei of 9B and 9Be in the shell model and cluster model

2020 ◽  
Vol 98 (1) ◽  
pp. 28-31 ◽  
Author(s):  
Zari Binesh ◽  
Mohammad Reza Shojaei ◽  
Behnam Azadegan
Keyword(s):  
Exact Solution ◽  
Wave Function ◽  
Schrödinger Equation ◽  
Shell Model ◽  
Cluster Model ◽  
Schrodinger Equation ◽  
Experimental Results ◽  
Cluster Models ◽  
Repulsive Potentials ◽  
Good Agreement

In this paper, we study the 9B and 9Be mirror nuclei with shell and cluster models. The modified Eckart plus Coulomb repulsive potentials are selected to describe the interaction between particles. By solving the Schrödinger equation, the exact solution of this equation is obtained by the parametric Nikiforov–Uvarov (PNU) method. The eigenvalues and wave function are calculated for 9B and 9Be. Our results are compared with experimental results, as well as results from other papers, and are in good agreement.

GENERALIZED OPTICAL POTENTIAL OF LIGHT WEAKLY BOUND CLUSTER NUCLEI

2008 ◽  
Vol 17 (10) ◽  
pp. 2326-2330 ◽  
Author(s):  
A. S. DENIKIN ◽  
V. I. ZAGREBAEV ◽  
P. DESCOUVEMONT
Keyword(s):  
Elastic Scattering ◽  
Projection Operator ◽  
Cluster Model ◽  
Optical Potential ◽  
Operator Method ◽  
Cluster Models ◽  
Weakly Bound ◽  
Intermediate Energies ◽  
Optical Potentials ◽  
Projection Operator Method

A generalized optical potential for elastic scattering induced by light weakly bound nuclei is calculated within the Feshbach projection operator method. The model explicitly takes into account the contribution of the projectile break-up continuum treated within a microscopic cluster model. The model is tested on deuteron and 6Lielastic scattering by different targets at intermediate energies. The optical potentials are then calculated for the 6 He(230 MeV) +12Creaction treating the projectile nuclei within two (α + 2n) and three (α + n + n) cluster models. The differences are analyzed.

Embedded Cluster Model: Application to Molecular Crystals

2003 ◽  
Vol 800 ◽  
Author(s):  
Maija M. Kuklja ◽  
Frank J. Zerilli ◽  
Peter Sushko
Keyword(s):  
Multiscale Modeling ◽  
Cluster Model ◽  
Molecular Crystals ◽  
Hydrostatic Compression ◽  
Structure And Properties ◽  
Cluster Approach ◽  
Model Application ◽  
Hartree Fock ◽  
Structure Calculations ◽  
Crystal Structure Calculations

ABSTRACTMultiscale modeling using an embedded cluster approach is presented and applied to study the structure and properties of molecular crystals. We discuss the results of hydrostatic compression modeling of 1,1-diamino-2,2-dinitroethylene obtained with the embedded cluster model and the Hartree-Fock method and compare these with the full periodic crystal structure calculations. Details of the electronic structure of the perfect, highly compressed material are discussed. The results demonstrate the applicability of the embedded cluster model. We show that the band gap of the perfect material is not sensitive to hydrostatic compression, but some changes induced by the pressure take place in the valence band.

THE EXPRESSIONS FOR THE SUPER-ALLOWED BETA-DECAY RATES IN THE CORIOLIS COUPLING MODEL: APPLICATION TO THE 1d5/2 SHELL NUCLEI

2012 ◽  
Vol 21 (01) ◽  
pp. 1250003
Author(s):  
M. SULTAN PARVEZ ◽  
F. BARY MALIK
Keyword(s):  
Shell Model ◽  
Beta Decay ◽  
Coupling Model ◽  
Decay Rates ◽  
Hindrance Factor ◽  
Transition Rates ◽  
Coriolis Coupling ◽  
Model Application

The expressions for super-allowed beta-decay transition rates have been derived within the context of the Coriolis coupling model. The derived expressions, valid for the beta-decay between any two mirror nuclei, have been applied to calculate super-allowed beta-decay transition rates of 21 Na , 23 Mg , 25 Al , and 27 Si . Without the use of any hindrance factor, the calculated rates agree well with the data and also with the calculations done using the shell model with configuration admixture.

First-Principles Study on the Phase Transformation of V4+-Doped TiO2 from Anatase to Rutile

2011 ◽  
Vol 239-242 ◽  
pp. 2002-2005 ◽  
Author(s):  
Hai Dong Zhang ◽  
Yu Shen ◽  
Xu Xu Zheng
Keyword(s):  
Phase Transition ◽  
Phase Transformation ◽  
Total Energy ◽  
First Principles ◽  
Cluster Model ◽  
Cluster Models ◽  
Angular Distortion ◽  
Valence Shell ◽  
Frontier Orbitals ◽  
Calculation Results

First-principles simulation was carried out to study the phase transformation of vanadium doped TiO2 from anatase to rutile based on Ti5O10 cluster model. The Ti5O10 cluster models of anatase and rutile and corresponding V4+ isomorphous replaced cluster models were calculated to study the change of total energy, the ways of angular distortion, the change of frontier orbitals and the Ti4+ in the model preferentially substituted by V4+. The calculation results reflect that the V2O4 species, which has a rutile-like structure, can promote the phase transition from anatase to rutile. The single α electron in Ti4VO10 cluster model makes change to the frontier orbitals and the uneven contribution of electrons in valence shell may be the force driving the angular distortion in anatase lattice to rutile-like structure.

Microscopic shell-model and cluster-model calculations of the and vertex constants

1997 ◽  
Vol 620 (1) ◽  
pp. 29-45 ◽  
Author(s):  
N.K. Timofeyuk ◽  
D. Baye ◽  
P. Descouvemont
Keyword(s):  
Shell Model ◽  
Cluster Model ◽  
Model Calculations

MULTICHANNEL ANALYSIS OF THE 16B NUCLEUS

2011 ◽  
Vol 20 (04) ◽  
pp. 1022-1025
Author(s):  
MARIANNE DUFOUR ◽  
PIERRE DESCOUVEMONT
Keyword(s):  
Shell Model ◽  
Ground State ◽  
Cluster Model ◽  
Model Calculations ◽  
Generator Coordinate Method ◽  
Coordinate Method ◽  
Narrow Peak ◽  
Generator Coordinate ◽  
Multichannel Analysis

This work is devoted to a Generator-Coordinate-Method investigation of the 16 B spectrum with an Extended Two-Cluster Model which includes many 15 B + n channels. We find that the narrow peak above the 15 B + n threshold seen in the experiments of Kalpachieva et al. and of Lecouey et al. can be assigned to a [Formula: see text] resonance. Several resonances are obtained near the 15 B + n threshold, in particular a [Formula: see text] state which could be a possible candidate for the 16 B ground state. Comparison with Shell Model calculations is performed.

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