Relativistic effects in the binding energies of few-body nuclei

Conference · Sat Jan 01 00:00:00 EST 1983

OSTI ID:5726897

Coester, F; Wiringa, R B

We have examined the consequences of Poincare invariance for the binding-energy calculations of few-body nuclei. Nonrelativistic Hamiltonians have been considered in an attempt to fit simultaneously the binding energies of 2-, 3-, 4-body nuclei and that of nuclear matter. Even with reasonable three-body forces it appears to be difficult to simultaneously fit the binding energies of 3- and 4-body nuclei. The size of the discrepancy is of the order of possible relativistic effects. After elimination of the center-of-mass motion the two-body Schroedinger equation can always be interpreted as a relativistic equation. Given a two-body mass operator (i.e. a two-body Hamiltonian for zero total momentum) it is possible to construct a consistent relativistic multi-body dynamics with a nonrelativistic limit. The relativistic effects can be calculated in first-order perturbation theory using an expansion in inverse powers of the nucleon mass.

• Research Organization: Argonne National Lab., IL (USA)
• DOE Contract Number: W-31-109-ENG-38
• OSTI ID: 5726897
• Report Number(s): CONF-830862-1; ON: DE83014711; TRN: 83-019400
• Resource Relation: Conference: 10. international conference on few-body problems in physics, Karlsruhe, F.R. Germany, 21 Aug 1983
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
LIGHT NUCLEI
BINDING ENERGY
MANY-BODY PROBLEM
CALCULATION METHODS
CORRECTIONS
FOUR-BODY PROBLEM
HAMILTONIANS
PERTURBATION THEORY
SCHROEDINGER EQUATION
THREE-BODY PROBLEM
TWO-BODY PROBLEM
DIFFERENTIAL EQUATIONS
ENERGY
EQUATIONS
MATHEMATICAL OPERATORS
NUCLEI
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
WAVE EQUATIONS
651211* - Nuclear Properties & Reactions
A=1-5
Theoretical- Mass
Abundance
& Binding Energy- (-1987)