期刊
PHYSICAL REVIEW D
卷 78, 期 9, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.78.094006
关键词
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资金
- U.S. Department of Energy [DE-FG03-93ER40757]
- National Science Foundation [PHY-0555544]
We investigate the behavior of the critical charge for spontaneous pair production, Z(C), defined as the charge at which the total energy of a K-shell electron is E = -m(e), as a function of the radius R of the charge distribution. Our approach is to solve the Dirac equation for a potential V(r) consisting of a spherically symmetrical charge distribution of radius R and a Coulomb tail. For a spherical shell distribution of the type usually associated with color-flavor locked strange quark nuggets, we confirm the relation Z(C) = 0.71R (fm) for sufficiently large R obtained by Madsen, who used an approach based on the Thomas-Fermi model. We also present results for a uniformly charged sphere and again find that Z(C) similar to R for large enough R. Also discussed is the behavior of Z(C) when simple ad hoc modifications are made to the potential for 0 <= r < R.
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