PERTURBATIVE BREAKING OF THE PSEUDOSPIN SYMMETRY IN THE RELATIVISTIC HARMONIC OSCILLATOR
2004 ◽
Vol 13
(07)
◽
pp. 1447-1451
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Keyword(s):
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 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.
2005 ◽
Vol 38
(5)
◽
pp. 1133-1145
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Keyword(s):
1980 ◽
Vol 13
(5)
◽
pp. L141-L142
2005 ◽
Vol 757
(3-4)
◽
pp. 411-421
◽
1991 ◽
Vol 39
(2)
◽
pp. 131-158
◽
2010 ◽
Vol 25
(08)
◽
pp. 1649-1659
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Keyword(s):