Critical Charges on Strange Quark Nuggets and Other Extended Objects
| dc.creator | Dicus, Duane A. | |
| dc.creator | Repko, Wayne W. | |
| dc.creator | Teplitz, V. L. | |
| dc.date | 2008-08-12 | |
| dc.date.accessioned | 2026-07-07T11:45:28Z | |
| dc.date.available | 2026-07-07T11:45:28Z | |
| dc.description | 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 $Z_C=0.71 R({\rm fm})$ 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 $Z_C\sim R$ for large enough $R$. Also discussed is the behavior of $Z_C$ when simple {\it ad hoc} modifications are made to the potential for $0\leq r < R$. | |
| dc.description | 7 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/0808.1739 | |
| dc.identifier | http://arxiv.org/abs/0808.1739 | |
| dc.identifier | Phys.Rev.D78:094006,2008 | |
| dc.identifier | doi:10.1103/PhysRevD.78.094006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/201890 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Critical Charges on Strange Quark Nuggets and Other Extended Objects | |
| dc.type | text |