Field-Theoretic Origin of the Isovector Central (Lane) and Spin-Orbit Potentials for Quasielastic (P,N) Reactions
As several authors have pointed out,1–8 a relativistic description of nuclear one-body motion improves on the usual Schroedinger theory in several ways: First, the spin-orbit potential arises naturally from the velocity dependence of the forces,1,7,8 as does the “full-Thomas” form of the spin-orbit potential in de-formed nuclei.9 Second, the observed energy dependence of the real part of the nucleon-nucleus optical potential can be understood as mainly a relativistic kinematic effect.1,2,5,10 And third, the relativistic approach is more fundamental, in the sense that it relates the nuclear one-body potentials to the average meson fields present in nuclei.1–4,6 This note is a study of the consequences of the nuclear ρ-meson field for charge-exchange reactions, and particularly (p,n) reactions.
KeywordsCharge Exchange Elastic Scattering Symmetry Energy Anomalous Magnetic Moment Symmetry Term
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- 3.T.D. Lee and G.C. Wick, Vacuum Stability and Vacuum Excitation in a Spin-0 Field Theory, Phys. Rev. D9: 2291 (1974).Google Scholar
- 5.R.L. Mercer, L.G. Arnold and B.C. Clark, Phenomenological Optical Model for p-4He Elastic Scattering, Phys. Lett. 73B: 9 (1978).Google Scholar
- 6.J. Boguta and J. Rafelski, Thomas-Fermi Model of Finite Nuclei, Phys. Lett. 71B: 22 (1977).Google Scholar
- 9.H. Sherif and J.S. Blair, Spin-Dependent Effects in Inelastic Scattering of High Energy Protons, Nucl. Phys. A140: 33 (1970).Google Scholar
- 10.R. Humphries, The 1/y Velocity Dependence of Nucleon-Nucleus Optical Potentials, Nucl. Phys. A182: 580 (1972).Google Scholar
- 11.M.M.Nagels, et al., Compilation of Coupling Constants and Low Energy Parameters, Nucl. Phys. B109: 1 (1976).Google Scholar
- 12.J.V. Noble, Axial and Magnetic Tests for Nuclear Dirac Wave Functions, Phys. Lett. B (to be published).Google Scholar
- 13.J.V. Noble, Consistency of Nuclear Dirac Phenomenology with Meson-Nucleon Interactions, Nucl. Phys. A (to be published).Google Scholar
- 14.D.M. Patterson, R.R. Doering and A. Galonsky, An Energy-Dependent Lane Model Nucleon- Nucleus Optical Potential, Nucl. Phys. A263: 261 (1976).Google Scholar
- 15.A. deShalit and H. Feshbach, “Theoretical Nuclear Physics,” John Wiley and Sons, Inc., New York (1974), p. 127.Google Scholar
- 16.A. Bohr and B.R. Mottelson, “Nuclear Structure, v. I,” W.A. Benjamin, Inc., New York (1969), p. 239.Google Scholar
- 17.J. Gosset, B. Mayer and J.L. Escudié, Quasielastic (p,n) Reactions Induced by Polarized Protons, Phys. Rev. C14: 878 (1976).Google Scholar