Theoretical investigations of the bound three nucleon system

Thesis/Dissertation · Thu Jan 01 04:00:00 EST 1981

OSTI ID:6259785

Muslim,

In this thesis, we investigate the asymptotic normalization C/sub l/ for the /sup 3/H and /sup 3/He bound states consisting of nucleon-dueteron (d) and nucleon-virtual deuteron (d*) clusters in the relative angular momentum state l of the cluster constituents and discuss methods of extracing C/sub l/ from theoretical models and experimental data. The D/sub 2/(/sup 3/H) parameter which is related to the ratio C/sub 2/(/sup 3/H,dn()/C/sub 0/(/sup 3/H,dn) and the triton-deuteron binding energy difference, is calculated from a solution of the Faddeev equations with the Reid soft-core potential. In an attempt to explain the discrepancy between theoretical predictions (approx. 7.0 MeV) based upon two-nucleon potentials (2NP) and the experimental value (8.5 MeV) of triton binding energy, we investigate the effect of three different types of two boson exchange three nucleon potentials involving 2..pi..-exchange (V/sub ..pi pi..F/), 2sigma-exchange (V/sub SSF/) and 2(..pi.. + rho)-exchange via ..delta.. between nucleon pair through the third nucleon. The contributions of V/sub ..pi pi..F/ and V/sub SSF/ to triton binding energy is calculated in the first order perturbation theory. To facilitate the numerical calculation which involves six dimensional integrals, we introduce a new method of parametrizing the antisymmetrized three-nucleon bound-state momentum-space wave function as sums of separable functions. The binding energy contribution is found to be 1.4 MeV which can account for most of the discrepancy between the 2NP prediction and the experimental triton binding energy.

• Research Organization: Purdue Univ., Lafayette, IN (USA)
• OSTI ID: 6259785
• Country of Publication: United States
• Language: English

Related Subjects

651211* -- Nuclear Properties & Reactions
A=1-5
Theoretical-- Mass
Abundance
& Binding Energy-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BETA DECAY RADIOISOTOPES
BETA-MINUS DECAY RADIOISOTOPES
BINDING ENERGY
BOUND STATE
CHARGED PARTICLES
CLUSTER MODEL
DATA
DEUTERONS
ENERGY
EVEN-EVEN NUCLEI
FUNCTIONS
HELIUM 4
HELIUM ISOTOPES
HYDROGEN ISOTOPES
INFORMATION
ISOTOPES
LIGHT NUCLEI
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEI
NUCLEON-NUCLEON POTENTIAL
NUMERICAL DATA
ODD-EVEN NUCLEI
POTENTIALS
RADIOISOTOPES
STABLE ISOTOPES
THEORETICAL DATA
TRITIUM
TRITONS
WAVE FUNCTIONS
YEARS LIVING RADIOISOTOPES