UPPER AND LOWER BOUND OF THE EIGEN-VALUE OF A THREE-BODY SYSTEM

Journal Article · Mon May 25 00:00:00 EDT 1964 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

OSTI ID:4010773

Tang, Y C; Herndon, R C; Schmid, E W

A variational calculation is performed to determine the upper and lower bound of the eigenvalue of the ground state of a three-body system with two types of two-body, central potential without hard core. The trial wave function used is a function that is a product of the solution of the two-nucleon Schroedinger equation up to a certain internucleon sepanation, which goes over into a varintion function for larger distances. The calculation is done by a Morte Carlo method. The results show that with this type of trial wave function, the upper and lower bound are rather close to each other, with the difference between the values of the two bounds equal to only about 3% of the magnitude of the upper bound. (auth)

• Research Organization: Brookhaven National Lab., Upton, N.Y.
• NSA Number: NSA-18-021048
• OSTI ID: 4010773
• Report Number(s): BNL-7704; 0031-899X
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 134; ISSN PHRVA
• Country of Publication: United States
• Language: English

Related Subjects

CONFIGURATION
EIGENVALUES
ENERGY LEVELS
ERRORS
MANY BODY PROBLEM
MATHEMATICS
MONTE CARLO METHOD
NUCLEONS
NUMERICALS
PHYSICS
QUANTUM MECHANICS
SCHROEDINGER EQUATION
VARIATIONS