Bounded solutions for nonconserving-parity pseudoscalar potentials

Journal Article · Thu Dec 02 00:00:00 EST 2004 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.1843684· OSTI ID:20630420

Castro, Antonio S. de ^[1]; Malheiro, Manuel; Lisboa, Ronai ^[2]

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1. Departamento de Fisica e Quimica, UNESP, 12516-410 Guaratingueta (Brazil)
2. Instituto de Fiisica, Universidade Federal Fluminense, 24210-340 Niteroi (Brazil)

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 -1/4r2.

• OSTI ID: 20630420
• Journal Information: AIP Conference Proceedings, Vol. 739, Issue 1; Conference: Joint meeting on QCD and QCP: 9. hadron physics and 7. relativistic aspects of nuclear physics, Rio de Janeiro (Brazil), 28 Mar - 3 Apr 2004; Other Information: DOI: 10.1063/1.1843684; (c) 2004 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
DIRAC EQUATION
FERMIONS
MATHEMATICAL SOLUTIONS
PARITY
PARTICLE INTERACTIONS
PARTICLE MODELS
STURM-LIOUVILLE EQUATION
SYMMETRY
YUKAWA POTENTIAL