{ "id": "hep-ph/0207046", "version": "v2", "published": "2002-07-03T12:55:32.000Z", "updated": "2003-05-19T16:21:19.000Z", "title": "The Lamb Shift and Ultra High Energy Cosmic Rays", "authors": [ "She-Sheng Xue" ], "comment": "8 pages, the version for the Proceedings of QABP2003, Hiroshima, Japan", "categories": [ "hep-ph" ], "abstract": "On the analogy with the Lamb shift, we study the vacuum effect that proton's electric field interacts with virtual particles in the vacuum. We find a possible quantum instability that triggered by an external force, proton's electric field interacting with virtual particles spontaneously induces a quantum force that back reacts on the proton in the direction of the external trigger force. Such a quantum-induced force accelerates the proton runaway, by gaining the zero-point energy from the vacuum (~10^{-5} eV/cm). This effect possibly accounts for the mysterious origin and spectrum of ultra high-energy cosmic ray (UHECR) events above 10^{20}eV, and explains the puzzle why the GZK cutoff is absent. The candidates of these events could be primary protons from the early Universe.", "revisions": [ { "version": "v2", "updated": "2003-05-19T16:21:19.000Z" } ], "analyses": { "keywords": [ "ultra high energy cosmic rays", "lamb shift", "virtual particles", "ultra high-energy cosmic ray", "protons electric field interacts" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "inspire": 589768, "adsabs": "2002hep.ph....7046X" } } }