Comparison of Born-Oppenheimer and hyperspherical adiabatic approximations in the trinucleon problem

Journal Article · Mon Nov 01 04:00:00 EST 1993 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.48.2201· OSTI ID:6050439

Das, T K; Coelho, H T; Brito, V P ^[1]

---

1. Departamento de Fisica, Universidade Federal de Pernambuco, 50739 Recife, Pernambuco (Brazil)

Ground state energies of the three-nucleon system interacting via standard [ital S]-projected potentials are studied using Born-Oppenheimer and hyperspherical adiabatic approximations. The extreme and the uncoupled hyperspherical adiabatic approximations, which are the lower and upper bounds for the exact ground state energy, are found to define a narrow band with the Born-Oppenheimer approximation lying close to it. While the hyperspherical adiabatic approximation conserves the basic symmetry requirements, the other does not. In spite of this, the Born-Oppenheimer approximation is found to be comparable to the other for potentials with a soft core repulsion.

• OSTI ID: 6050439
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 48:5; ISSN 0556-2813; ISSN PRVCAN
• 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
ADIABATIC APPROXIMATION
BARYONS
BINDING ENERGY
BORN-OPPENHEIMER APPROXIMATION
BOUND STATE
ELEMENTARY PARTICLES
ENERGY
ENERGY LEVELS
FERMIONS
GROUND STATES
HADRONS
MANY-BODY PROBLEM
NEUTRONS
NUCLEONS
PARTIAL WAVES
POLYNEUTRONS
POTENTIALS
S WAVES
THREE-BODY PROBLEM
TRINEUTRONS