Bound states in Yukawa theory
| Autor: | Norbert E. Ligterink, Axel Weber |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2005 |
| Předmět: |
Physics
High Energy Physics - Theory Particle physics Nuclear Theory Generalization High Energy Physics::Lattice Spectrum (functional analysis) Yukawa potential FOS: Physical sciences Fermion Atomic and Molecular Physics and Optics Schrödinger equation Nuclear Theory (nucl-th) Massless particle symbols.namesake High Energy Physics - Phenomenology High Energy Physics - Phenomenology (hep-ph) High Energy Physics - Theory (hep-th) Bound state symbols Mathematical physics Boson |
| Popis: | A generalization of the Gell-Mann-Low Theorem is applied to bound state calculations in Yukawa theory. The resulting effective Schroedinger equation is solved numerically for two-fermion bound states with the exchange of a massless boson. The complete low-lying bound state spectrum is obtained for different ratios of the constituent masses. No abnormal solutions are found. We show the consistency of the non-relativistic and one-body limits and discuss the special cases of identical fermions and fermion-antifermion states. To our knowledge, this is the first consistent calculation of bound states in pure Yukawa theory (without UV cutoff). 62 pages, 6 eps figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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