Freiburg 1998 – scientific programme

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T: Teilchenphysik

T 508: Schwere Quarks II

T 508.3: Talk

Wednesday, March 25, 1998, 16:50–17:05, HS H

Generalization of the Bound State Model to Baryons with a Heavy Quark — •H. Weigel¹, J. Schechter², F. Sannino³, and M. Harada⁴ — ¹Inst. f. Theor. Physik, Univ. T"ubingen, D-72076 T"ubingen — ²Dept. of Physics, Syracuse Univ., Syracuse, NY 13244, USA — ³Dept. of Physics, Yale Univ., New Haven, CT 06520, USA — ⁴Dept. of Physics, Univ. of North Carolina, Chapel Hill, NC 27599, USA

In the bound state approach the heavy baryons are constructed by binding the heavy meson multiplet (with any orbital angular momentum) to the nucleon which emerges as a soliton in an effective meson theory. 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. We propose that the bound state model be generalized to include orbitally excited heavy mesons bound to the nucleon[1]. Then the missing angular momentum is carried by these excited heavy mesons. In the simplest dynamical realization of this approach we give conditions on 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 omitting the effects of light vector mesons.

[1] M. Harada, F. Sannino, J. Schechter, H. Weigel, Phys. Rev. D56 (1997) 4098.

Supported in part by the DFG under contract Re 856/2–3.