Nucleon solution of the Faddeev equation in the Nambu--Jona-Lasinio model
- Department of Physics, FM-15, University of Washington, Seattle, Washington 98195 (United States)
- Institute for Theoretical Physics, University of Utrecht, 3508 TA Utrecht (Netherlands)
Given the phenomenological success of the Nambu--Jona-Lasinio model in describing the meson physics in the low energy limit, it is tempting to find the fully relativistically structured nucleon solution in the same model under the similar approximation employed in the mesonic sector. To achieve this goal we need to solve a relativistic Faddeev equation. The factorizability of the two-body {ital T} matrix induces the three-body Faddeev equation to a tractable two-body Bethe-Salpeter equation. The reduced equation is then solved numerically. Our result indicates that the nucleon consists of three loosely bound constituent quarks.
- OSTI ID:
- 143418
- Journal Information:
- Physical Review, C, Journal Name: Physical Review, C Journal Issue: 3 Vol. 49; ISSN PRVCAN; ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
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