Brueckner Self-Consistent Study of 16O and 40Ca Using Phase-Shift Determined Potentials

1973 ◽  
Vol 51 (2) ◽  
pp. 115-120 ◽  
Author(s):  
R. J. W. Hodgson ◽  
Tran Duc Hoang
Keyword(s):  
Binding Energy ◽  
Phase Shift ◽  
Harmonic Oscillator ◽  
Single Particle ◽  
Effective Interaction ◽  
Scattering Data ◽  
Matrix Elements ◽  
High Energies ◽  
Self Consistent

A self-consistent Brueckner calculation of the binding energy and single-particle energies of 16O and 40Ca is carried out employing an effective interaction which is determined directly from the two-body scattering data. The interaction is described by its harmonic-oscillator matrix elements. It is found that the results are quite sensitive to the form of the phase shift at high energies.

NOTE ON THE SINGLE-PARTICLE ENERGY AND THE BINDING ENERGY OF MANY-BODY, SATURATED SYSTEMS

1958 ◽  
Vol 36 (10) ◽  
pp. 1261-1264
Author(s):  
George A. Baker Jr.
Keyword(s):  
Binding Energy ◽  
Single Particle ◽  
Particle Energy ◽  
The Self ◽  
Exclusion Principle ◽  
Single Particle Energy ◽  
Many Body ◽  
Self Consistent ◽  
Particle Potential ◽  
Single Particle Potential

Brueckner has recently pointed out that, for saturation, (Eav−E(pF)) does not vanish in general because of "important many-body contributions to the single particle energy which arise from the effects of the exclusion principle and from the variation of the self-consistent excitation spectrum with density." It is the purpose of this note to evaluate this difference in terms of the properties of the single-particle potential.

Sensitivity of nuclear matter binding energy to the nucleon-nucleon phase shift at high energies

1972 ◽  
Vol 38 (3) ◽  
pp. 132-134 ◽  
Author(s):  
K-F. Chong ◽  
Y. Singh ◽  
D.W.L. Sprung ◽  
M.K. Srivastava
Keyword(s):  
Binding Energy ◽  
Phase Shift ◽  
Nuclear Matter ◽  
Nucleon Nucleon ◽  
High Energies

scholarly journals Modification of tensor force in 0p-shell model effective interaction

2020 ◽  
Vol 29 (09) ◽  
pp. 2050069
Author(s):  
Kanhaiya Jha ◽  
Pawan Kumar ◽  
Shahariar Sarkar ◽  
P. K. Raina
Keyword(s):  
Shell Model ◽  
Single Particle ◽  
Effective Interaction ◽  
Tensor Force ◽  
Experimental Results ◽  
Matrix Elements ◽  
Excitation Spectra ◽  
Electromagnetic Moments ◽  
Gamow Teller ◽  
Normal Parity

In many shell model interactions, the tensor force monopole matrix elements often retain systematic trends originating in the bare tensor force. However, in this work, we find that Isospin [Formula: see text] tensor force monopole matrix elements of widely used p-shell effective interaction CK(8–16) do not share these systematic. We correct these discrepancies by modifying [Formula: see text] tensor force two-body matrix elements (TBMEs) of CK(8–16) by the analytically calculated tensor force TBMEs. With some additional modification of single-particle energies and TBMEs, the revised effective interaction is named as CKN. The effective interaction CKN has been tested for the calculations of p-shell nuclei of normal parity states from various physics viewpoints such as excitation spectra, electromagnetic moments, and electromagnetic and Gamow–Teller (GT) transitions. The obtained results are found to be satisfactory with respect to the experimental results.

Solution of the Bethe–Goldstone Equation in Finite Nuclei from N–N Phase Shift Data

1972 ◽  
Vol 50 (9) ◽  
pp. 940-946
Author(s):  
R. J. W. Hodgson
Keyword(s):  
Wave Function ◽  
Phase Shift ◽  
Harmonic Oscillator ◽  
Shell Model ◽  
Phase Shifts ◽  
Matrix Elements ◽  
Pauli Operator ◽  
Phase Shift Data ◽  
Finite Nuclei ◽  
Shift Data

An approach is outlined wherein the Bethe–Goldstone wave function may be computed in a shell-model basis from a knowledge of the harmonic-oscillator matrix elements. These in turn may be derived from the N–N phase shifts by a number of different methods. The Pauli operator is treated exactly in the space of two-particle shell-model states. The method is applied to a calculation of the levels of 18O and 18F and results obtained using different two-body matrix elements are compared.

OPTICAL TRANSITIONS IN A PARABOLIC GaAs/Ga1-xAlxAs SUPERLATTICES

2001 ◽  
Vol 08 (03n04) ◽  
pp. 321-325
Author(s):  
ŞAKIR ERKOÇ ◽  
HATICE KÖKTEN
Keyword(s):  
Transition Matrix ◽  
Optical Transition ◽  
Matrix Elements ◽  
Electron States ◽  
Parabolic Potential ◽  
Consistent Field ◽  
Self Consistent ◽  
Self Consistent Field ◽  
Transition Matrix Elements ◽  
Scf Calculations

We have performed self-consistent field (SCF) calculations of the electronic structure of GaAs/Ga 1-x Al x As superlattices with parabolic potential profile within the effective mass theory. We have calculated the optical transition matrix elements involving transitions from the hole states to the electron states, and we have also computed the oscillator strength matrix elements for the transitions among the electron states.

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