An improved Thomas--Fermi treatment of nuclei (open access)

An improved Thomas--Fermi treatment of nuclei

I want to tell you about an improved Thomas-Fermi method for calculating shell-averaged nuclear properties, such as density distributions, binding energies, etc. A shell-averaged statistical theory is useful as the macroscopic component of microscopic-macroscopic theories of nuclei, such as the Strutinsky method, as well as in theories of nuclear matter in the bulk, relevant in astrophysical applications. In nuclear physics, as well as in atomic and molecular problems, the following question often has to be answered: you are given a potential well, say a deformed Woods-Saxon potential, into which you put N quantized fermions into the lowest N eigenstates, up to a ``Fermi energy`` To. You square the wave functions of the particles and add them up to get the total density {rho}({sub r}{sup {yields}}) = {Sigma}{sub i}{sup N}{vert_bar}{psi}{sub i}{vert_bar}{sup 2}. Is there some simple way of estimating {rho}({sub r}{sup {yields}}) without going through the misery of numerically solving N partial differential Schroedinger equations for the N particles?
Date: August 18, 1992
Creator: Swiatecki, W. J.
System: The UNT Digital Library
Interagency Advanced Power Group Steering Group meeting minutes (open access)

Interagency Advanced Power Group Steering Group meeting minutes

This document contains presentation overviews and viewgraphs from a meeting military personnel on the subject of power generation and distribution systems for military applications. Mission analysis and directional plans were given for each working group (chemical, mechanical, electrical, nuclear, solar and systems). Attendees represented the US Air Force, Army, Navy, and NASA.
Date: November 18, 1992
Creator: unknown
System: The UNT Digital Library
An improved Thomas--Fermi treatment of nuclei (open access)

An improved Thomas--Fermi treatment of nuclei

I want to tell you about an improved Thomas-Fermi method for calculating shell-averaged nuclear properties, such as density distributions, binding energies, etc. A shell-averaged statistical theory is useful as the macroscopic component of microscopic-macroscopic theories of nuclei, such as the Strutinsky method, as well as in theories of nuclear matter in the bulk, relevant in astrophysical applications. In nuclear physics, as well as in atomic and molecular problems, the following question often has to be answered: you are given a potential well, say a deformed Woods-Saxon potential, into which you put N quantized fermions into the lowest N eigenstates, up to a Fermi energy'' To. You square the wave functions of the particles and add them up to get the total density [rho]([sub r][sup [yields]]) = [Sigma][sub i][sup N][vert bar][psi][sub i][vert bar][sup 2]. Is there some simple way of estimating [rho]([sub r][sup [yields]]) without going through the misery of numerically solving N partial differential Schroedinger equations for the N particles
Date: August 18, 1992
Creator: Swiatecki, W. J.
System: The UNT Digital Library