Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2004-10-24
Int.J.Mod.Phys. D13 (2004) 1447-1451
Physics
Nuclear Physics
Nuclear Theory
5 pages, 4 figures, uses World Scientific style file. Contribution presented at the International Workshop on Astronomy and Re
Scientific paper
10.1142/S0218271804005675
We show that relativistic mean fields theories with scalar, $S$, and vector, $V$, quadratic radial potentials can generate a harmonic oscillator with exact pseudospin symmetry {\it and positive energy bound states} when $S=-V$. The eigenenergies are quite different from those of the non-relativistic harmonic oscillator. We also discuss a mechanism for perturbatively breaking this symmetry by introducing a tensor potential. Our results shed light into the intrinsic relativistic nature of the pseudospin symmetry, which might be important in high density systems such as neutron stars.
Alberto Pedro
de Castro Antonio Soares
Fiolhais Manuel
Lisboa R.
Malheiro Manuel
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