Configuration space methods in the three-nucleon problem

Conference · Tue Jan 01 04:00:00 EST 1985

OSTI ID:5359614

Friar, J L

The assumptions underlying the formulation and solution of the Schroedinger equation for three nucleons in configuration space are reviewed. Those qualitative aspects of the two-nucleon problem which play an important role in the trinucleon are discussed. The geometrical aspects of the problem are developed, and the importance of the angular momentum barrier is demonstrated. The Faddeev-Noyes formulation of the Schroedinger equation is motivated, and the boundary conditions for various three-body problems is reviewed. The method of splines is shown to provide a particularly useful numerical modelling technique for solving the Faddeev-Noyes equation. The properties of explicit trinucleon solutions for various two-body force models are discussed, and the evidence for three-body forces is reviewed. The status of calculations of trinucleon observables is discussed, and conclusions are presented. 40 refs., 14 figs.

• Research Organization: Los Alamos National Lab., NM (USA)
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 5359614
• Report Number(s): LA-UR-85-2670; CONF-8508100-1; ON: DE85015740
• Country of Publication: United States
• Language: English

Related Subjects

651310* -- Nuclear Properties & Reactions
A=6-19
Theoretical-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
BARYONS
DIFFERENTIAL EQUATIONS
DOCUMENT TYPES
ELEMENTARY PARTICLES
EQUATIONS
EVEN-ODD NUCLEI
FADDEEV EQUATIONS
FERMIONS
FUNCTIONS
HADRONS
HELIUM 3
HELIUM ISOTOPES
ISOTOPES
LECTURES
LIGHT NUCLEI
MANY-BODY PROBLEM
NUCLEI
NUCLEONS
PARTIAL DIFFERENTIAL EQUATIONS
SCHROEDINGER EQUATION
SPLINE FUNCTIONS
STABLE ISOTOPES
THREE-BODY PROBLEM
WAVE EQUATIONS