Dynamical nature of the nuclear pseudospin and its isospin asymmetry

Details Dynamical nature of the nuclear pseudospin and its isospin asymmetry Dynamical nature of the nuclear pseudospin and its isospin asymmetry

2002-07-24

arxiv.org/abs/nucl-th/0207068v1

Physics

Nuclear Physics

Nuclear Theory

4 pages, 2 figures, uses World Scientific style file. Contribution presented at the VIII International Workshop on Hadron Phys

Scientific paper

Pseudospin symmetry in nuclei is investigated by solving the Dirac equation with Woods-Saxon scalar and vector radial potentials. We relate the pseudospin interaction with a pseudospin-orbit term in a Schroedinger-like equation for the lower component of the Dirac spinor. We show that this term gives a large contribution to the energy splittings of pseudospin partners, so that the near pseudospin degeneracy arises from a significant cancellation among the different terms in that equation. This is a manifestation of the dynamical character of this symmetry in the nucleus. We analyze the isospin dependence of the pseudospin symmetry in a nuclear isotope chain by including a vector-isovector potential V_rho and a Coulomb potential and conclude that V_rho gives the main contribution to the observed pseudospin isospin asymmetry.

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