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arXiv · 1502.07610

Pseudospin and spin symmetries in 1+1 dimensions: The case of the Coulomb potential

Luis B. Castro·Antonio S. de Castro·Pedro Alberto
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Abstract

The problem of fermions in 1+1 dimensions in the presence of a pseudoscalar Coulomb potential plus a mixing of vector and scalar Coulomb potentials which have equal or opposite signs is investigated. We explore all the possible signs of the potentials and discuss their bound-state solutions for fermions and antifermions. We show the relation between spin and pseudospin symmetries by means of charge-conjugation and $\gamma^{5}$ chiral transformations. The cases of pure pseudoscalar and mixed vector-scalar potentials, already analyzed in previous works, are obtained as particular cases. The results presented can be extended to 3+1 dimensions.

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Luis B. Castro, Antonio S. de Castro, Pedro Alberto. 2015-02-26. Pseudospin and spin symmetries in 1+1 dimensions: The case of the Coulomb potential. https://doi.org/10.1016/j.aop.2015.02.033

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