Hyperspherical treatment of the three-nucleon system with soft core potentials

Journal Article · Tue Jan 01 04:00:00 EST 1991 · Hadronic Journal; (United States)

OSTI ID:5734110

Osman, A; Zaky, M; Allam, M A ^[1]

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1. Cairo Univ. (Egypt)

The trinucleon system is considered as the bound state of three-nucleons interacting via spin and isospin dependent two-body central and noncentral tensor potentials. The hyperspherical expansion approach transforms the trinucleon Schroedinger equation to an infinite set of coupled second order differential equations only in one variable being the hyperradius. By a suitable selecting of the orthonormal basis of the wave function expansion using an optimal subset, the infinite set of coupled equations is reduced to a limited number of coupled equations to be solved practically. The trinucleon binding energy and the associated wave function are numerically calculated using spin and isospin dependent two-body central and noncentral tensor interactions. The central part of the potential is taken to be the exponential, Yukawa and Gaussian types with and without soft core. The charge form factors of the trinucleon system are also calculated and used to deduce the energy difference between the {sup 3}H and {sup 3}He nuclei. The present calculations using the optimal subset are in good agreement with the experimental measurements and with previous calculations from the variational and Faddeev methods. The tensor forces are found important and improve the results considerably.

• OSTI ID: 5734110
• Journal Information: Hadronic Journal; (United States), Journal Name: Hadronic Journal; (United States) Vol. 14:1; ISSN 0162-5519; ISSN HAJOD
• Country of Publication: United States
• Language: English

Related Subjects

663110* -- General & Average Properties of Nuclei & Nuclear Energy Levels-- (1992-)
663510 -- Nuclear Mass Ranges-- A=1-5-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYONS
BETA DECAY RADIOISOTOPES
BETA-MINUS DECAY RADIOISOTOPES
BINDING ENERGY
BOUND STATE
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
ENERGY
EQUATIONS
EVEN-ODD NUCLEI
FADDEEV EQUATIONS
FERMIONS
FORM FACTORS
FUNCTIONS
HADRONS
HELIUM 3
HELIUM ISOTOPES
HYDROGEN ISOTOPES
ISOTOPES
LIGHT NUCLEI
MANY-BODY PROBLEM
NUCLEAR POTENTIAL
NUCLEI
NUCLEONS
NUMERICAL SOLUTION
ODD-EVEN NUCLEI
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
POTENTIALS
RADIOISOTOPES
SCHROEDINGER EQUATION
SOFT-CORE POTENTIAL
STABLE ISOTOPES
THREE-BODY PROBLEM
TRANSFORMATIONS
TRITIUM
WAVE EQUATIONS
WAVE FUNCTIONS
YEARS LIVING RADIOISOTOPES
YUKAWA POTENTIAL