Many-Parameter Wave Functions in the Independent-Particle Model

1954 ◽  
Vol 96 (6) ◽  
pp. 1680-1682 ◽  
Author(s):  
Erwin H. Kronheimer
Keyword(s):  
Wave Functions ◽  
Particle Model ◽  
Independent Particle ◽  
Independent Particle Model ◽  
Parameter Wave

Approximate Analytical Wave Functions for the Nuclear Independent-Particle Model

1956 ◽  
Vol 104 (6) ◽  
pp. 1617-1624 ◽  
Author(s):  
Alex E. S. Green
Keyword(s):  
Wave Functions ◽  
Particle Model ◽  
Independent Particle ◽  
Independent Particle Model

scholarly journals Scattering of High Energy Electrons by Carbon and the Nuclear Density Distribution

1956 ◽  
Vol 9 (3) ◽  
pp. 400 ◽  
Author(s):  
LJ Tassie
Keyword(s):  
Elastic Scattering ◽  
Harmonic Oscillator ◽  
Born Approximation ◽  
High Energy ◽  
Wave Functions ◽  
Particle Model ◽  
Nuclear Density ◽  
High Energy Electrons ◽  
Independent Particle ◽  
Independent Particle Model

The elastic scattering of 187 MeV electrons by 12C has been calculated, using the Born approximation and the independent particle model with spherical box wave functions and with harmonic oscillator wave functions (Tassie 1956).

THE THEORY OF THE PHOTONUCLEAR REACTION USING THE INDEPENDENT PARTICLE MODEL OF THE NUCLEUS

1959 ◽  
Vol 37 (2) ◽  
pp. 232-243
Author(s):  
Seiichi Sueoka
Keyword(s):  
Present Method ◽  
High Energy ◽  
Wave Functions ◽  
Particle Model ◽  
Photonuclear Reactions ◽  
Independent Particle ◽  
Direct Emission ◽  
Independent Particle Model ◽  
The Matrix ◽  
Γ Ray

For high-energy photonuclear reactions, particularly for the direct emission of a neutron, the integration of the matrix element of the interaction energy of the nucleus and the radiation field is carried out without the usual expansion in a series of multipoles. The method is applied to the O16, O17 nuclei, with harmonic oscillator wave functions for the nucleus. The ratio of the cross section obtained by the present method and that by considering only dipole absorption is found for various γ-ray energies.

Potential barrier effect and discrete structure o between 40 and 120 Å in the Rb I absorption spectrum

1975 ◽  
Vol 344 (1637) ◽  
pp. 303-309 ◽  
Keyword(s):  
Absorption Spectrum ◽  
Absorption Maximum ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Particle Model ◽  
Discrete Structure ◽  
Model Calculations ◽  
Hartree Fock ◽  
Independent Particle ◽  
Independent Particle Model

Investigation of the Rb I absorption spectrum between 40 and 120 Å has revealed a broad absorption maximum in the 3d photoionization continuum, as well as discrete features associated with the excitation of a 3d-subshell electron. The discrete structure is identified, Hartree-Fock calculations of the transition energies are given and the absorption maximum is discussed in relation to similar spectra and to recent random phase approximation with exchange (r.p.a.e.) and independent particle model calculations.

scholarly journals Electron capture into few-electron heavy ions: Independent particle model

2007 ◽  
Vol 46 (1) ◽  
pp. 27-36 ◽  
Author(s):  
A. Surzhykov ◽  
U. D. Jentschura ◽  
T. Stöhlker ◽  
S. Fritzsche
Keyword(s):  
Electron Capture ◽  
Heavy Ions ◽  
Particle Model ◽  
Independent Particle ◽  
Independent Particle Model

The history, development, and future prospects for (e,2e) spectroscopy

1996 ◽  
Vol 74 (11-12) ◽  
pp. 703-712 ◽  
Author(s):  
Ian E. McCarthy
Keyword(s):  
Nuclear Physics ◽  
Experimental Result ◽  
Particle Model ◽  
Sensitive Information ◽  
Final States ◽  
Independent Particle ◽  
Electron Momentum Spectroscopy ◽  
Independent Particle Model ◽  
Valence Bands ◽  
Momentum Space Orbitals

Electron momentum spectroscopy of atoms, molecules, and solids is based on (e,2e) reactions that observe the distribution of recoil momenta for energy-resolved states of the residual system. It is interpreted simply in terms of the momentum-space orbitals of the independent-particle model. The relevant ideas originated in nuclear physics. The earliest experiments observed that strongly excited final states belong to orbital manifolds that extend the independent-particle ideas to correlated systems. Some weakly excited final states do not belong to orbital manifolds. They give sensitive information about target ground-state correlations. The energy-momentum distribution of valence bands is observed for solids. Calculations for atoms, molecules, and crystals converge to the experimental result as the structure calculation is improved.

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