Field localization and particle confinement effects on pair creation by Schwinger's mechanism
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Abstract: (Springer)
Solutions of the Dirac equation in the presence of a static uniform electric fieldɛ in thez-direction and a linear confining potentialAz, are obtained. Generalized reflection and transmission coefficients are derived for such divergent potentials forɛ >A/e. The eigenspectrum and corresponding localized eigenfunctions forɛ pairs is enhanced,ɛc(A) >ɛc(A = 0). The rate of pair creation for constantɛ, decreases for non-zeroA, implying longer QGP formation times. Because ofɛc(A) >ɛc(0), QGP is predicted to be formed in the early stages of the nuclear collision. The finite size effects and the MIT bag boundary condition effects on QGP formation are also discussed.- nucleus nucleus: nuclear reaction
- scattering: heavy ion
- heavy ion: scattering
- quark: pair production
- pair production: quark
- quark gluon: plasma
- Dirac equation: solution
- electric field
- Schwinger model
- potential: linear
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