Recoil effects in the relativistically corrected impulse approximation

Journal Article · Mon Apr 01 04:00:00 EST 1985 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.31.1430· OSTI ID:5804641

Gattone, A O; Goulard, B; Hwang, W P

We invoke the formalism developed by Krajcik and Foldy to consistently treat recoil effects in the relativistically corrected impulse approximation in the presence of a local central potential. It is stressed that recoil effects in the case of the single-particle Dirac Hamiltonian are considerably different from those suitable for the Foldy-Wouthuysen diagonalized Hamiltonian. It is also found that, for the diagonalized Hamiltonian, intuitive arguments may result in an incorrect sign for certain terms as in a preceding paper. As an illustrative numerical example, we use the resultant formulae to determine the magnetic moment and charge radius of the /sup 15/N nucleus.

• Research Organization: Nuclear Theory Center, Department of Physics, Indiana University, Bloomington, Indiana 47405
• OSTI ID: 5804641
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 31:4; ISSN PRVCA
• Country of Publication: United States
• Language: English

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
HAMILTONIANS
IMPULSE APPROXIMATION
ISOTOPES
LIGHT NUCLEI
MAGNETIC MOMENTS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NITROGEN 15
NITROGEN ISOTOPES
NONLOCAL POTENTIAL
NUCLEAR PROPERTIES
NUCLEAR RADII
NUCLEI
ODD-EVEN NUCLEI
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
POTENTIALS
QUANTUM OPERATORS
RECOILS
RELATIVITY THEORY
SINGLE-PARTICLE MODEL
STABLE ISOTOPES
WAVE EQUATIONS