Relativistic effects in the binding energies of few-body nuclei
Conference
·
OSTI ID:5726897
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-31109-ENG-38
- OSTI ID:
- 5726897
- Report Number(s):
- CONF-830862-1; ON: DE83014711
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
651211* -- Nuclear Properties & Reactions
A=1-5
Theoretical-- Mass
Abundance
& Binding Energy-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
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DIFFERENTIAL EQUATIONS
ENERGY
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HAMILTONIANS
LIGHT NUCLEI
MANY-BODY PROBLEM
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QUANTUM OPERATORS
SCHROEDINGER EQUATION
THREE-BODY PROBLEM
TWO-BODY PROBLEM
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A=1-5
Theoretical-- Mass
Abundance
& Binding Energy-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BINDING ENERGY
CALCULATION METHODS
CORRECTIONS
DIFFERENTIAL EQUATIONS
ENERGY
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FOUR-BODY PROBLEM
HAMILTONIANS
LIGHT NUCLEI
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
NUCLEI
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
QUANTUM OPERATORS
SCHROEDINGER EQUATION
THREE-BODY PROBLEM
TWO-BODY PROBLEM
WAVE EQUATIONS