Characteristics of Thomas-Fermi solutions for nuclei with specified angular momenta

1994 ◽  
Vol 72 (7-8) ◽  
pp. 355-361
Author(s):  
J. Gallego ◽  
S. Das Gupta
Keyword(s):  
Angular Momentum ◽  
High Spin ◽  
Mass Range ◽  
Spin States ◽  
Thomas Fermi ◽  
Hartree Fock ◽  
High Spin States ◽  
Angular Momenta ◽  
Medium Mass ◽  
Low Mass

We obtain Thomas–Fermi solutions for nuclei in the mass range [Formula: see text]. Solutions for a given nucleus are obtained from angular momentum zero to the maximum value at which the nucleus breaks up. On one hand, we can establish contact with the liquid-drop model; on the other hand since Thomas–Fermi theory can be regarded as an approximation to Hartree-Fock theory and does use an underlying force (the same force can be used in Hartree–Fock theory), it is also instructive to compare results with the quantum cranking calculations carried out by other researchers. It appears that for low-mass nuclei quantum effects make the two results very different even at high spins but for medium-mass nuclei there are similarities that are seen at high-spin states. Rather large deformations are obtained at high-spin states but the magnitudes are sensitive to the actual force used. We present graphs indicating the change of shape in the Q – γ plane as angular momentum is cranked up.

High-spin states inSi28from variation after angular-momentum projection

1983 ◽  
Vol 27 (5) ◽  
pp. 2414-2416 ◽  
Author(s):  
W. Bauhoff ◽  
H. Schultheis ◽  
R. Schultheis
Keyword(s):  
Angular Momentum ◽  
High Spin ◽  
Spin States ◽  
Angular Momentum Projection ◽  
High Spin States

scholarly journals Analyses of Inelastic Proton Scattering to High Spin States of Unnatural Parity

1978 ◽  
Vol 31 (1) ◽  
pp. 1 ◽  
Author(s):  
K Amos ◽  
J Morton ◽  
I Morrison ◽  
R Smith
Keyword(s):  
High Spin ◽  
Spin States ◽  
Proton Scattering ◽  
Distorted Wave ◽  
Nucleon Interaction ◽  
Hartree Fock ◽  
High Spin States ◽  
Wave Approximation ◽  
Unnatural Parity ◽  
Inelastic Proton Scattering

Distorted wave approximation analyses of 135 MeV inelastic proton scattering to high spin (4 - and 6-) unnatural parity states in 24Mg and 28Si have been made to test the character of an effective two-nucleon interaction, assuming a transition spectroscopy of particle-hole excitation from a projected Hartree-Fock intrinsic ground state.

THE NUCLEAR MASS AT FINITE ANGULAR MOMENTA

2004 ◽  
Vol 13 (01) ◽  
pp. 87-96 ◽  
Author(s):  
INGEMAR RAGNARSSON ◽  
FILIP G. KONDEV ◽  
EDWARD S. PAUL ◽  
MARK A. RILEY ◽  
JOHN SIMPSON
Keyword(s):  
High Spin ◽  
Ground States ◽  
Spin States ◽  
Nuclear Mass ◽  
High Spin States ◽  
Angular Momenta ◽  
Systematic Expansion ◽  
Definition Of

The definition of experimental shell energies for nuclear ground states is generalized to finite angular momenta corresponding to a systematic expansion of the (N,Z)-plane to an (N,Z,I) space. Special emphasis is put on high-spin states where it is expected that odd and even nuclei should have similar properties. Different coupling schemes are compared and energetically favoured conditions to build high-spin states are discussed.

An angular momentum expansion of energy and structure of high spin states

Pramana ◽  
1978 ◽  
Vol 10 (6) ◽  
pp. 589-596 ◽  
Author(s):  
M Satpathy ◽  
R Sahu ◽  
A Ansari ◽  
L Satpathy
Keyword(s):  
Angular Momentum ◽  
High Spin ◽  
Spin States ◽  
High Spin States
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