scholarly journals Number-projected nuclear moment of inertia in the isovector pairing case within the Richardson model

2017 ◽  
Author(s):  
F. Hammache ◽  
N. H. Allal ◽  
M. Fellah ◽  
M. R. Oudih
Keyword(s):  
Moment Of Inertia ◽  
Nuclear Moment

NEUTRON-PROTON ISOVECTOR PAIRING EFFECT ON THE NUCLEAR MOMENT OF INERTIA

2008 ◽  
Vol 17 (04) ◽  
pp. 655-667 ◽  
Author(s):  
D. MOKHTARI ◽  
I. AMI ◽  
M. FELLAH ◽  
N. H. ALLAL
Keyword(s):  
Rare Earth ◽  
Moment Of Inertia ◽  
Nuclear Moment ◽  
Pairing Effect ◽  
Analytical Expression ◽  
Rare Earth Nuclei ◽  
Theoretical Predictions ◽  
The Moment ◽  
Experimental Values

The neutron-proton (n-p) isovector pairing effect on the nuclear moment of inertia has been studied within the framework of the BCS approximation. An analytical expression of the moment of inertia, that explicitly depends upon the n-p pairing, has been established using the Inglis cranking model. The model was first tested numerically for nuclei such as N = Z and whose experimental values of the moment of inertia are known (i.e. such as 16 ≤ Z ≤ 40). It has been shown that the n-p pairing effect is non-negligible and clearly improves the theoretical predictions when compared to those of the pairing between like particles. Secondly, predictions have been established for even-even proton-rich rare-earth nuclei. It has been shown that the n-p pairing effect is non-negligible when N = Z and rapidly decreases with increasing values of (N-Z).

Studies on the Moments of Inertia of Light Nuclei. Part I. Calculations in the sd Shell Using Skyrme-type Formulas

1974 ◽  
Vol 52 (6) ◽  
pp. 541-553 ◽  
Author(s):  
W. Y. Ng ◽  
L. E. H. Trainor
Keyword(s):  
Moment Of Inertia ◽  
Light Nuclei ◽  
Nuclear Moment ◽  
Moments Of Inertia ◽  
Hartree Fock

The Hartree–Fock–Skyrme approach to calculations of the nuclear moment of inertia is generalized. It is shown that a different formula than the usual Skyrme formula can be expected to give better results. This result is illustrated by calculations on even–even nuclei in the sd shell.

Nuclear moment of inertia at high rotational frequencies

1972 ◽  
Vol 179 (3) ◽  
pp. 753-768 ◽  
Author(s):  
A. Johnson ◽  
H. Ryde ◽  
S.A. Hjorth
Keyword(s):  
Moment Of Inertia ◽  
Nuclear Moment

Moment of inertia of even–even proton-rich nuclei using a particle-number conserving approach in the isovector neutron–proton pairing case

2016 ◽  
Vol 25 (06) ◽  
pp. 1650032 ◽  
Author(s):  
Faiza Hammache ◽  
N. H. Allal ◽  
M. Fellah ◽  
M. R. Oudih
Keyword(s):  
Particle Number ◽  
Mean Field ◽  
Moment Of Inertia ◽  
Second Step ◽  
Nuclear Moment ◽  
Pairing Effect ◽  
Picket Fence ◽  
Projection Effect ◽  
The One ◽  
Proton Pairing

An expression of the particle-number projected nuclear moment of inertia (MOI) has been established in the neutron–proton (np) isovector pairing case within the cranking model. It generalizes the one obtained in the like-particles pairing case. The formalism has been, as a first step, applied to the picket-fence model. As a second step, it has been applied to deformed even–even nuclei such as [Formula: see text] and of which the experimentally deduced values of the pairing gap parameters [Formula: see text], [Formula: see text], are known. The single-particle energies and eigenstates used are those of a deformed Woods–Saxon mean-field. It was shown, in both models, that the np pairing effect and the projection one are non-negligible. In realistic cases, it also appears that the np pairing effect strongly depends on [Formula: see text], whereas the projection effect is practically independent from the same quantity.

Observation of anomalous behaviour of the nuclear moment of inertia at large rotational frequencies in 164Yb and 168Hf

1972 ◽  
Vol 39 (2) ◽  
pp. 196-198 ◽  
Author(s):  
R.M. Lieber ◽  
H. Beuscher ◽  
W.F. Davidson ◽  
P. Jahn ◽  
H.-J. Probst ◽  
...  
Keyword(s):  
Moment Of Inertia ◽  
Anomalous Behaviour ◽  
Nuclear Moment

Formal Aspects of Nuclear Moment-of-Inertia Theory

1970 ◽  
Vol 2 (3) ◽  
pp. 892-902 ◽  
Author(s):  
William A. Friedman ◽  
Lawrence Wilets
Keyword(s):  
Moment Of Inertia ◽  
Nuclear Moment ◽  
Inertia Theory

scholarly journals SUSYQM in nuclear structure: Bohr Hamiltonian with mass depending on the deformation

2019 ◽  
Vol 18 ◽  
pp. 69
Author(s):  
D. Bonatsos ◽  
P. E. Georgoudis ◽  
D. Lenis ◽  
N. Minkov ◽  
C. Quesne
Keyword(s):  
Quantum Mechanics ◽  
Nuclear Structure ◽  
Collective Motion ◽  
Moment Of Inertia ◽  
Supersymmetric Quantum Mechanics ◽  
Nuclear Moment ◽  
Nuclear Mass

A well known problem of the Bohr Hamiltonian for the description of nuclear collective motion is that the nuclear moment of inertia increases with deformation too fast. We show that this can be avoided by allowing the nuclear mass to depend on the deformation. The resulting Hamiltonian is solved exactly, using techniques of Supersymmetric Quantum Mechanics

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