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Tübingen 2003 – wissenschaftliches Programm

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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 Wang1,2, Valery Lyubovitskij1, Thomas Gutsche1, and Mikhail Ivanov31Institut 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 gσππ, gDσπ and gBσπ 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.

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