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Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: the case of the relativistic harmonic oscillator
A. S. de Castro, P. Alberto, R. Lisboa +1
We solve the generalized relativistic harmonic oscillator in 1+1 dimensions, i.e., including a linear pseudoscalar potential and quadratic scalar and vector potentials which have e…
Tensor coupling and pseudospin symmetry in nuclei
P. Alberto, R. Lisboa, M. Malheiro +1
In this work we study the contribution of the isoscalar tensor coupling to the realization of pseudospin symmetry in nuclei. Using realistic values for the tensor coupling strength…
Perturbative breaking of the pseudospin symmetry in the relativistic harmonic oscillator
R. Lisboa, M. Malheiro, A. S. de Castro +2
We show that relativistic mean fields theories with scalar, , and vector, , quadratic radial potentials can generate a harmonic oscillator with exact pseudospin symmetry {\it…
Pseudospin symmetry and the relativistic harmonic oscillator
R. Lisboa, M. Malheiro, A. S. de Castro +2
A generalized relativistic harmonic oscillator for spin 1/2 particles is studied. The Dirac Hamiltonian contains a scalar and a vector quadratic potentials in the radial co…
Role of the Coulomb and the vector-isovector potentials in the isospin asymmetry of nuclear pseudospin
R. Lisboa, M. Malheiro, P. Alberto
We investigate the role of the Coulomb and the vector-isovector potentials in the asymmetry of the neutron and proton pseudospin splittings in nuclei. To this end, we solve the…