An improved Thomas--Fermi treatment of nuclei

Conference · Tue Aug 18 04:00:00 EDT 1992

OSTI ID:10115794

Swiatecki, W J

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?

• Research Organization: Lawrence Berkeley Lab., CA (United States)
• Sponsoring Organization: USDOE, Washington, DC (United States)
• DOE Contract Number: AC03-76SF00098
• OSTI ID: 10115794
• Report Number(s): LBL--33009; CONF-9208190--2; ON: DE93004726
• Country of Publication: United States
• Language: English

Related Subjects

663120
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BINDING ENERGY
MODIFICATIONS
NUCLEAR STRUCTURE MODELS AND METHODS
NUCLEI
THOMAS-FERMI MODEL
WOODS-SAXON POTENTIAL