Bound State Solutions of the Dirac Equation in Extended Hadron Models
May, 197511 pages
Published in:
- Phys.Rev.D 12 (1975) 1840
Report number:
- Print-75-0372 (PRINCETON)
Citations per year
Abstract: (APS)
We discuss numerical solutions for the classical boson fields in the four-dimensional SU(2) model of Dashen, Hasslacher, and Neveu. For their separation of the Dirac equation, a fermion in the classical Yang-Mills field has one bound-state solution with zero binding energy; consequently the model will not bind fermions, and is unstable. The Dirac equation for a fermion on an Abelian vortex line likewise has no bound-state solutions except for zero binding energy.- MODEL: BOUND STATE
- Dirac equation
- HADRON: EXTENDED PARTICLE
- SYMMETRY: SU(2)
- FIELD THEORETICAL MODEL: YANG-MILLS
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