Relativistic effects in three-body bound states

Journal Article · Sat Feb 01 04:00:00 EST 1986 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.33.709· OSTI ID:6325142

Gloeckle, W; Lee, T H; Coester, F

We formulate relativistic and nonrelativistic two-particle dynamics in such a manner that the two-body binding energies are the same for both. We then formulate and solve the relativistic Faddeev equations for a simple s-wave potential (Malfliet-Tjon V). The relativistic effects are small (about 3%) and reduce the three-body binding energy. The expectation value of the relativistic energy operator with the nonrelativistic wave function is a fairly good approximation, but approximate expressions involving expansions in powers of the momentum are shown to be quite unreliable.

• Research Organization: Institut fuer Theoretische Physik, Ruhr-Universitat Bochum, Bochum, Federal Republic of Germany
• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 6325142
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 33:2; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BINDING ENERGY
BOUND STATE
ENERGY
EQUATIONS
EXPECTATION VALUE
FADDEEV EQUATIONS
FIELD THEORIES
FUNCTIONS
GENERAL RELATIVITY THEORY
HAMILTONIANS
INVARIANCE PRINCIPLES
LORENTZ INVARIANCE
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
PARTIAL WAVES
POTENTIALS
QUANTUM OPERATORS
RELATIVITY THEORY
S WAVES
THREE-BODY PROBLEM
WAVE FUNCTIONS