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HK: Physik der Hadronen und Kerne

HK 40: Theorie VI

HK 40.7: Vortrag

Donnerstag, 20. März 2003, 15:00–15:15, D

The σ resonance in weak decays of B and D mesons — •Ping Wang^1,2, Valery Lyubovitskij¹, Thomas Gutsche¹, and Mikhail Ivanov³ — ¹Institut für Theoretische Physik, Universität Tübingen,Auf der Morgenstelle 14, D-72076 Tübingen, Germany — ²Institute of High Energy Physics, Academia Sinica, P.O.Box 918(4), Beijing 100039, China — ³Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia

The light scalar-isoscalar resonance σ has attracted a lot of theoretical and experimental interest for many years [1]. We study the weak decays of B and D mesons to σ and π using a QCD motivated relativistic quark model [2,3]. Our model can be viewed as a quantum field approach based on an effective Lagrangian describing the transition of light and heavy hadrons to their constituent quarks. We present the results for the coupling constants g_σππ, g_Dσπ and g_Bσπ and two-body decay widths Γ(D → σπ) and Γ(B → σπ). Our results are in good agreement with experimental data.

[1] N. A. Tornqvist and M. Roos, Phys. Rev. Lett. 76 (1996) 1575; N. A. Tornqvist, Summary talk of the conference on sigma meson, Kyoto, June, hep-ph/0008135.

[2] M.A. Ivanov, V.E. Lyubovitskij, Phys. Lett. B 408 (1997) 435; M.A. Ivanov, M.P. Locher, V.E. Lyubovitskij, Few Body Syst. 21 (1996) 131; M.A. Ivanov, V.E. Lyubovitskij, J.G. Körner, P. Kroll, Phys. Rev. D 56 (1997) 348.

[3] A. Faessler, T. Gutsche, M.A. Ivanov, J.G. Korner, V.E. Lyubovitskij, Phys. Lett. B 518 (2001) 55; EPJdirect C 4 (2002), in print.