{ "id": "1104.2574", "version": "v5", "published": "2011-04-01T11:15:43.000Z", "updated": "2015-07-02T08:49:58.000Z", "title": "Explicit Bound State Description of Particles, Application to p-e- and e+-e- Systems", "authors": [ "Hans-Peter Morsch" ], "comment": "15 pages, 4 figures", "categories": [ "hep-ph" ], "abstract": "Based on a QED Lagrangian with additional photon-photon coupling an explicit bound state description is presented, attempting a physical correct and parameter free description of free particles. Applied to p-e- and e+-e- systems, with a \"harmonic\" boundary condition the deduced binding energies are consistent with Coulomb energies and radii in general agreement with other models. The sum of partial coupling strengths is in good agreement with alpha_QED sim 1/137, showing that this important constant can be deduced from first principles.", "revisions": [ { "version": "v4", "updated": "2013-07-22T13:13:12.000Z", "title": "Towards a realistic theory of fundamental forces - extension of the QED Lagrangian by boson-boson coupling", "abstract": "A finite theory of fundamental forces has been constructed by extending QED by boson-boson coupling. Deduced fermion and boson matrix elements lead to two bound state potentials, boson-exchange and confinement potential, which can be evaluated by simple forms of wave functions. All parameters in this formalism are determined by boundary conditions. An application to e+ e- and p e- yields binding energies, radii and decay widths. Different from QED the electric coupling constant $\\alpha$ is not a fixed constant, but is determined self-consistently by geometric and energy-momentum constraints with a value for the lowest energy solution consistent with the fine structure constant alpha_{QED}=1/137. The full spectrum of bound states is generated by a boson-exchange interaction in the vacuum with momentum dependence sim 1/q^4. Finally, hypothetical ground states are constructed with binding energies consistent with the total binding of s-states.", "journal": null, "doi": null }, { "version": "v5", "updated": "2015-07-02T08:49:58.000Z" } ], "analyses": { "subjects": [ "11.15.-q", "14.40.Cs", "12.40.-y" ], "keywords": [ "fundamental forces", "boson-boson coupling", "realistic theory", "qed lagrangian", "lowest energy solution consistent" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "inspire": 896204, "adsabs": "2011arXiv1104.2574M" } } }