Relevance of pseudospin symmetry in proton-nucleus scattering

Abstract

The manifestation of pseudospin-symmetry in proton-nucleus scattering is discussed. Constraints on the pseudospin-symmetry violating scattering amplitude are given which require as input cross section and polarization data, but no measurements of the spin rotation function. Application of these constraints to p-58Ni and p-208Pb scattering data in the laboratory energy range of 200 MeV to 800 MeV, reveals a significant violation of the symmetry at lower energies and a weak one at higher energies. Using a schematic model within the Dirac phenomenology, the role of the Coulomb potential in proton-nucleus scattering with regard to pseudospin symmetry is studied. Our results indicate that the existence of pseudospin-symmetry in proton-nucleus scattering is questionable in the whole energy region considered and that the violation of this symmetry stems from the long range nature of the Coulomb interaction.

arXiv comment22 pages including 9 figures, correction of 1 reference, revision of abstract and major modification of chapter 4, Fig. 6, and Fig. 7; addition of Fig. 8 and Fig. 9

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Cited by in corpus (11)

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• Pseudospin symmetry in supersymmetric quantum mechanics: Schrödinger equations
• Exploration of relativistic symmetry by the similarity renormalization group
• Pseudospin, supersymmetry and the shell structure of atomic nuclei
• Green's function method for the spin and pseudospin symmetries in the single-particle resonant states
• Conservation and breaking of pseudospin symmetry
• Uniform descriptions of pseudospin symmetries in bound and resonant states
• Pseudospin symmetry in nuclear structure and its supersymmetric representation
• Relativistic Coulomb scattering of spinless bosons