Shell model and mean-field description of band termination in theA∼44 nuclei

2007 ◽  
Vol 75 (5) ◽  
Author(s):  
M. Zalewski ◽  
W. Satuła ◽  
W. Nazarewicz ◽  
G. Stoitcheva ◽  
H. Zduńczuk
Keyword(s):  
Shell Model ◽  
Mean Field ◽  
Band Termination

Gamow–Teller strength functions from scattering experiments

1987 ◽  
Vol 65 (6) ◽  
pp. 691-698 ◽  
Author(s):  
O. Häusser
Keyword(s):  
Shell Model ◽  
Cross Sections ◽  
Mean Field ◽  
Wave Functions ◽  
Structure Information ◽  
Model Wave ◽  
Spin Flip ◽  
Strength Functions ◽  
Gamow Teller ◽  
Good Agreement

We present here recent [Formula: see text] results from TRIUMF that are relevant to the determination of spin-flip isovector strength functions in nuclei. Distortion factors needed for the extraction of nuclear-structure information have been deduced from cross sections and analyzing powers in elastic scattering for several energies and targets. Nonrelativistic optical potentials obtained by folding effective nucleon (N)–nucleus interactions with nuclear densities are found to overpredict both elastic and reaction cross sections, whereas Dirac calculations that include Pauli blocking are in good agreement with the data. Spin observables (Snn and Ay) for the quasi-elastic region in 54Fe[Formula: see text] at 290 MeV provide some evidence for the reduction of the effective proton mass predicted in relativistic mean-field theories as a consequence of the attractive scalar field in the nuclear medium. The energy dependence of the effective N–nucleus interaction at small momentum transfers has been investigated using isoscalar and isovector 1+ states in 28Si as probe states. We find that the cross sections for the isovector transitions are in good agreement with predictions for the dominant Vστ part of the Franey–Love interaction. Gamow–Teller (GT) strength functions have been obtained in 24Mg and 54Fe from measurements of both cross sections and spin–flip probabilities Snn. The spin-flip cross sections σSnn are particularly useful in heavier nuclei to discriminate against a continuous background of ΔS = 0 excitations. In the (s, d) shell where full shell-model wave functions are available, the GT quenching factors [Formula: see text] are in good agreement with those from recent (p, n) and (n, p) experiments. We show that a state-by-state comparison of (p, p′) and (e, e′) results has the potential of identifying pionic current contributions in (e, e′). The GT quenching factors in 54Fe are smaller than in the (s, d) shell probably because of severely truncated shell-model wave functions, particularly those of the nuclear ground state.

scholarly journals Lifetime measurement and shell model description of negative parity states up to band-termination in 49V

2020 ◽  
Vol 1000 ◽  
pp. 121785
Author(s):  
S. Mukhopadhyay ◽  
D.C. Biswas ◽  
L.S. Danu ◽  
R. Chakrabarti ◽  
U. Garg ◽  
...  
Keyword(s):  
Shell Model ◽  
Negative Parity ◽  
Lifetime Measurement ◽  
Model Description ◽  
Band Termination

TRIAXIAL REFLECTION ASYMMETRIC SHELL MODEL

2008 ◽  
Vol 17 (supp01) ◽  
pp. 146-158 ◽  
Author(s):  
Y. S. CHEN ◽  
Z. C. GAO
Keyword(s):  
Shell Model ◽  
Transition Probabilities ◽  
Mean Field ◽  
Negative Parity ◽  
Laboratory Frame ◽  
Superheavy Nuclei ◽  
Tetrahedral Symmetry ◽  
State Band ◽  
Natural Way ◽  
Good Agreement

The spontaneously broken reflection and axial symmetries in the nuclear mean field and their necessary restorations in the laboratory frame are described in a natural way in the triaxial Reflection Asymmetric Shell Model. This recently developed theoretical model has been applied to explore the possibility that some superheavy nuclei may have an exotic shape, tetrahedral-like. The ground state band and the partner low-lying negative parity bands are calculated for the Cf isotopes and the results are in a good agreement with the available experimental data. The tetrahedral symmetry, realized at the first order with the nonaxial octupole Y 32 deformation, plays an important role for understanding the low-lying band structures in transfermium and superheavy nuclei, but it is significantly obscured by the competing quadrupole deformation as well as the axial octupole component. The calculated reduced E3 transition probabilities between the low lying 2–-band states and the ground band states show a large enhancement of the nonaxial octupole collectivity.

scholarly journals Study of the Static and Dynamic Nuclear Properties and Form Factors for Some Magnesium Isotopes 29-34 Mg

2021 ◽  
Vol 19 (49) ◽  
pp. 82-93
Author(s):  
Lubna Abduljabbar Mahmood ◽  
Gaith Naima Flaiyh
Keyword(s):  
Shell Model ◽  
Mean Field ◽  
Form Factors ◽  
Field Method ◽  
Inelastic Electron ◽  
Neutron Skin ◽  
Nuclear Excitation ◽  
Charge Densities ◽  
Hartree Fock ◽  
Transverse Form Factor

Nuclear structure of 29-34Mg isotopes toward neutron dripline have been investigated using shell model with Skyrme-Hartree–Fock calculations. In particular nuclear densities for proton, neutron, mass and charge densities with their corresponding rms radii, neutron skin thicknesses and inelastic electron scattering form factors are calculated for positive low-lying states. The deduced results are discussed for the transverse form factor and compared with the available experimental data. It has been confirmed that the combining shell model with Hartree-Fock mean field method with Skyrme interaction can accommodate very well the nuclear excitation properties and can reach a highly descriptive and predictive power when investigating different nuclear configurations of stable and unstable nuclei.

Superdeformation in theN=ZNucleus36Ar: Experimental, Deformed Mean Field, and Spherical Shell Model Descriptions

2000 ◽  
Vol 85 (13) ◽  
pp. 2693-2696 ◽  
Author(s):  
C. E. Svensson ◽  
A. O. Macchiavelli ◽  
A. Juodagalvis ◽  
A. Poves ◽  
I. Ragnarsson ◽  
...  
Keyword(s):  
Spherical Shell ◽  
Shell Model ◽  
Mean Field

Shell model and Hartree–Fock calculations for some exotic nuclei

2015 ◽  
Vol 24 (12) ◽  
pp. 1550099 ◽  
Author(s):  
Ali A. Alzubadi ◽  
Nabeel F. Latooffi ◽  
R. A. Radhi
Keyword(s):  
Shell Model ◽  
Mass Density ◽  
Effective Interaction ◽  
Mean Field ◽  
Form Factors ◽  
Field Approximation ◽  
Exotic Nuclei ◽  
Mean Field Approximation ◽  
Hartree Fock ◽  
Density Distributions

Mass density distributions, the associated nuclear radii and elastic electron scattering form factors of light exotic nuclei, [Formula: see text]Li, [Formula: see text]Be, [Formula: see text]Be and 8B have been calculated using shell model (SM) and Hartree–Fock (HF) methods. We consider truncated spsdpf no core SM and WBP two-body effective interaction to give the SM wave functions. The single-particle matrix elements have been calculated with Skyrme-Hartree–Fock (SHF) potential with different parametrizations. It is shown that the calculated densities and form factors are in fine agreement with experimental data. This agreement can be interpreted as the adequacy of the HF mean-field approximation for exotic nuclei.

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