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- Title
Stability of QED Vacuum and 3+1 Dimensional Scattering Problem in the Presence of a Coulomb Scalar Potential and Vector Field.
- Authors
Goudarzi, H.; Golmohamadi, M.
- Abstract
We show that, in the presence of a scalar field the range of the value of external field parameters a and b, at which corresponding Hamiltonian operator is hermitian, essentially wider than in its absence. It allows us to study precisely the question on stability of QED vacuum in the presence of a strong electric field of a point charge Z| e| and external scalar Coulomb field with respect to electron-positron pair production. Also, we consider the scattering of Dirac particle by the specified fields in 3+1 dimensions. The phase shift and wave functions are obtained exactly. We calculate the scattering amplitude in a quasi-classical approximation as a partial wave series. By means of figures obtained for the cross section σ( θ) in general and special cases, such as a≠ b and a= b, we find that σ( θ) is not exactly symmetric about θ= π.
- Subjects
SCALAR field theory; VECTOR fields; HAMILTONIAN operator; ELECTRIC fields; PARTICLES (Nuclear physics)
- Publication
International Journal of Theoretical Physics, 2008, Vol 47, Issue 12, p3121
- ISSN
0020-7748
- Publication type
Article
- DOI
10.1007/s10773-008-9745-7