Generalization of the bound state model
- Department of Physics, Syracuse University, Syracuse, New York 13244-1130 (United States)
- Dipartimento di Scienze Fisiche Istituto Nazionale di Fisica Nucleare, Mostra D`Oltremare Pad. 19, 80125 Napoli (Italy)
- Institute for Theoretical Physics, Tuebingen University, Auf der Morgenstelle 14, D-72076 Tuebingen (Germany)
In the bound state approach the heavy baryons are constructed by binding, with any orbital angular momentum, the heavy meson multiplet to the nucleon considered as a soliton in an effective meson theory. We point out that this picture misses an entire family of states, labeled by a different angular momentum quantum number, which are expected to exist according to the geometry of the three-body constituent quark model (for N{sub C}=3). To solve this problem we propose that the bound state model be generalized to include orbitally excited heavy mesons bound to the nucleon. In this approach the missing angular momentum is {open_quotes}locked up{close_quotes} in the excited heavy mesons. In the simplest dynamical realization of the picture we give conditions on a set of coupling constants for the binding of the missing heavy baryons of arbitrary spin. The simplifications made include working in the large M limit, neglecting nucleon recoil corrections, neglecting mass differences among different heavy spin multiplets, and also neglecting the effects of light vector mesons. {copyright} {ital 1997} {ital The American Physical Society}
- Research Organization:
- Syracuse University
- DOE Contract Number:
- FG02-85ER40231
- OSTI ID:
- 542759
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 7 Vol. 56; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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