Publicação: Bounded solutions for nonconserving-parity pseudoscalar potentials
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2004-01-01
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American Institute of Physics (AIP)
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The Dirac equation is analyzed for nonconserving-parity pseudoscalar radial potentials in 3+1 dimensions. It is shown that despite the nonconservation of parity this general problem can be reduced to a Sturm-Liouville problem of nonrelativistic fermions in spherically symmetric effective potentials. The searching for bounded solutions is done for the power-law and Yukawa potentials. The use of the methodology of effective potentials allow us to conclude that the existence of bound-state solutions depends whether the potential leads to a definite effective potential-well structure or to an effective potential less singular than -1/4r(2).
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Ix Hadron Physics and Vii Relativistic Aspects of Nuclear Physics. Melville: Amer Inst Physics, v. 739, p. 657-659, 2004.
