Configuration space Faddeev calculations. V. Variational bounds

Journal Article · Sun Nov 01 04:00:00 EST 1981 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.24.2279· OSTI ID:5940883

Friar, J L; Gibson, B F; Payne, G L

Three three-nucleon model problems are proposed as test cases for numerical computation: the ground and excited states of a spin-isospin independent Yukawa potential (Delves potential) and the ground state of a spin-isospin independent potential composed of one attractive and one repulsive Yukawa function (Malfliet-Tjon V). Eigenvalues and eigenfunctions are calculated using a configuration space Faddeev approach, and variational upper and lower bounds are evaluated using these wave functions. Each calculation is performed both as a projected s-wave potential problem, and as a true local potential problem in which nucleon-nucleon partial waves through l = 6 are kept. For each case the eigenvalue appears to be converged to within 1 keV and it agrees well with the upper bound. A brief review of bounding techniques is presented.

• Research Organization: Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
• OSTI ID: 5940883
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 24:5; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
653003 -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
BARYON-BARYON INTERACTIONS
BOUNDARY CONDITIONS
EIGENFUNCTIONS
EIGENVALUES
ENERGY LEVELS
EQUATIONS
FADDEEV EQUATIONS
FUNCTIONS
HADRON-HADRON INTERACTIONS
INTERACTIONS
ISOSPIN
MANY-BODY PROBLEM
NUCLEAR POTENTIAL
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
POTENTIALS
SPIN
THREE-BODY PROBLEM
VARIATIONAL METHODS
YUKAWA POTENTIAL