Abstract
We have performed a two-channel calculation of Cabibbo-angle favoured decays,D +s →VP. We find a satisfactory fit toS + s →φπ +,ρ 0 π + andK + \(\bar K^{ * 0} \) data from ARGUS and E-691. We have also studied Cabbibo-angle favouredD→VP decays in a coupled channel formalism. We coupleD→K *π,K ϱ and\(\bar K^0 \phi \) channels inI=1/2 state, andK *π andK ϱ channels inI=3/2 state. We leave the two channels,\(\bar K^0 \omega \) and\(\bar K^{ * 0} \eta \) out of our unitarization scheme. Particular attention is paid to the role of the weak annihilation term in these decays.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
R. Rückl: Weak decays of heavy flavours. Habilitationsschrift Universität München, CERN Report (1983)
L.L. Chau: Phys. Rep. 95 (1983), 1; L.L. Chau, H.Y. Cheng: Phys. Rev. D36 (1987) 137
M. Bauer, B. Stech: Phys. Lett. 152B (1985) 380
M. Bauer, B. Stech, M. Wirbel: Z. Phys. C—Particles and Fields 34 (1987) 103
A.N. Kamal: Phys. Rev. D33 (1986) 1344
T. Tanuma, S. Oneda, K. Terasaki: Phys. Rev. D29 (1984) 444; ibid T. Tanuma, S. Oneda, K. Terasaki: Phys. Rev. D456; K. Terasaki, S. Oneda: Phys. Rev. D 34 (1986) 2778
F. Hussain, M.D. Scadron: Phys. Rev. D30 (1984) 1492; A.N. Kamal, M.D. Scadron; Phys. Rev. D32 (1985) 1164
B. Yu Blok, M.A. Shifman Sov. J. Nucl. Phys. 45 (1987) 1 (Yad. Fiz. 45 (1987) 211); ibid Yad. Fiz. 301 (1987)
D. Hitlin: Weak decays of charmed particles and tau leptons. Rapporteur talk, 1987 Int. Symposium on Lepton and Photon Interactions at High Energies, Hamburg, (1987). To be published
Particle Data Group: Phys. Lett. 170B (1986) 1
A.N. Kamal, R. Sinha: Phys. Rev. D36 (1987) 3510
J.P. Cumalat et al.: Fermilab. PUB-87/192-E
X.Y. Pham: Phys. Lett. 193B (1987) 331
G.F. Chew, S. Mandelstam: Phys. Rev. 119 (1960) 467
J.D. Bjorken: Phys. Rev. Lett. 4 (1960) 473; J.D. Bjorken, M. Nauenberg: Phys. Rev. 121 (1961) 1250; F. Zachariasen, C. Zemach: Phys. Rev. 128 (1962) 849; G.L. Shaw: Phys. Rev. Lett. 12 (1964) 345
P.S. Lee, G.L. Shaw, D. Silverman: Phys. Rev. D 10 (1974); Y. Iwamura, S. Kurihara, Y. Takahashi: Prog. Theor. Phys. (Kyoto) 58 (1977) 1669; A.N. Kamal: Can. J. Phys. 57 (1979) 1815
L. Castillejo, R.H. Dalitz, F.J. Dyson: Phys. Rev. 101 (1956) 453; S.C. Frautschi: Regge poles andS-matrix theory. In: Frontiers in Physics, Chap. III. New York: Benjamin 1963
R.G. Newton: Scattering theory of waves and particles. Chap. 17 2nd ed. Berlin, Heidelberg, New York: Springer 1982; R.H. Dalitz: Strange particles and strong interactions Chap. VI. Oxford: Oxford Univ. Press 1962
M.H. Ross, G.L. Shaw: Ann. Phys. (N.Y.) 9 (1960) 391; ibid M.H. Ross, G.L. Shaw: Ann. Phys. (N.Y.) 13 (1961) 147
See, for example, R. Cahn, P. Landshoff: Nucl. Phys. B266 (1986) 451
S. Okubo: Phys. Lett. 5 (1963) 165; G. Zweig: CERN Report 8419/TH412 (1964) unpublished; I. Iizuka, K. Okada, O. Shito: Prog. Theor. Phys. 35 (1966) 1061; G. Zweig: In: Symmetries in elementary particle physics, A. Zichichi (ed.), New York: Academic Press 1965
M. Wirbel, B. Stech, M. Bauer: Z. Phys. C—Particles and Fields 29 (1985) 637
The constraintC 2+ C −=1 is strictly valid in the leading log approximation. In next to the leading log approximation it is violated by less than 3%. See G. Altarelli, G. Curci, G. Martinelli, R. Petrarca: Phys. Lett. 99B (1981) 141; Nucl. Phys. B187 (1981) 461; A.J. Buras, J.-M., Gérard, R. Rückl: Nucl. Phys. B268 (1986) 16; D. Hitlin: CALTECH Preprint Calt-68-1420 (1986)
R. Voss: Rapporteur talk—Charged Lepton Interactions, Int. Symposium on Lepton and Photon Interactions at High Energies, Hamburg, 1987 (to be published)
I.I. Bigi: Proc. Int. Symposium on Production and Decay of Heavy Flavors, Stanford, 1987, and references therein (to be published)
J.F. Donoghue: Phys. Rev. D33 (1986) 1516
A.N. Kamal, E.D. Cooper: Z. Phys. C—Particles and Fields 8 (1981) 67; C. Sorensen: Phys. Rev. D23 (1981) 2618; Phys. Rev. D24 (1981) 2976
J. Adler et al.: MARK III-Collab.: Phys. Rev. Lett. 60 (1988) 89
A.N. Kamal, R. Sinha: J. Phys. G.: Nucl. Phys. 13 (1987) L137-L141
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kamal, A.N., Sinha, N. & Sinha, R. A coupled-channel treatment of Cabibbo-angle favoured (D, D +s )→VP decays. Z. Phys. C - Particles and Fields 41, 207–216 (1988). https://doi.org/10.1007/BF01566918
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01566918