Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: the case of the relativistic harmonic oscillator
Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
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Data(s) |
20/05/2014
20/05/2014
01/05/2006
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Resumo |
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 equal or opposite signs. We consider positive and negative quadratic potentials and discuss in detail their bound-state solutions for fermions and antifermions. The main features of these bound states are the same as the ones of the generalized three-dimensional relativistic harmonic oscillator bound states. The solutions found for zero pseudoscalar potential are related to the spin and pseudospin symmetry of the Dirac equation in 3+1 dimensions. We show how the charge conjugation and gamma(5) chiral transformations relate the several spectra obtained and find that for massless particles the spin and pseudospin symmetry-related problems have the same spectrum but different spinor solutions. Finally, we establish a relation of the solutions found with single-particle states of nuclei described by relativistic mean-field theories with scalar, vector, and isoscalar tensor interactions and discuss the conditions in which one may have both nucleon and antinucleon bound states. |
Formato |
13 |
Identificador |
http://dx.doi.org/10.1103/PhysRevC.73.054309 Physical Review C. College Pk: American Physical Soc, v. 73, n. 5, 13 p., 2006. 0556-2813 http://hdl.handle.net/11449/9132 10.1103/PhysRevC.73.054309 WOS:000237950600016 WOS000237950600016.pdf |
Idioma(s) |
eng |
Publicador |
American Physical Soc |
Relação |
Physical Review C |
Direitos |
closedAccess |
Tipo |
info:eu-repo/semantics/article |