Göttingen 1997 – scientific programme
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HK: Hadronen und Kerne
HK 66: Struktur von Baryonen und Mesonen VII
HK 66.1: Talk
Thursday, March 27, 1997, 17:00–17:15, HS I
Hyperfine Splitting of the Heavy Baryons — •H. Weigel1, M. Harada2, A. Qamar2, F. Sannino2, and J. Schechter2 — 1Institut f"ur Theoretische Physik, Universit"at T"ubingen, D-72076 T"ubingen — 2Department of Physics, Syracuse University, Syracuse, NY 13244, USA
We investigate the hyperfine splitting of the heavy baryons in the bound–state approach. We start with an ordinary relativistic Lagrangian which has been extensively used to discuss finite mass corrections to the heavy limit predictions [1]. We observe that the dominant contribution arises from terms which do not manifestly break the heavy spin symmetry. The actual heavy spin violating terms are uncovered by carefully performing a 1/M expansion of this Lagrangian [2]. A reasonable description of the spectrum of both the light and heavy baryons can only be achieved when vector mesons are added to the Skyrme model. In the vector meson model we then predict the following mass differences for the heavy baryons: M(ΣC)−M(ΛC)=178MeV, M(ΛC)−M(N)=1.321GeV and M(ΛB)−M(N)=4.495GeV. These compare reasonably well with the empirical values 165MeV, 1.345GeV and (4.70±0.05)GeV, respectively.
[1] J. Schechter, A. Subbaraman, S. Vaidya and H. Weigel, Nucl. Phys. A590, 655 (1995)
[2] M. Harada, A. Qamar, F. Sannino, J. Schechter and H. Weigel, hep-ph/9607412, Phys. Lett. B, to be published.
Supported in part by the Deutsche
Forschungsgemeinschaft (DFG) under contract
Re 856/2–2.