Abstract.
The very recently observed D * sJ (2463) meson is described as a \(J^{P}\! = \!1^{ + }\) \(c\bar{s}\) bound state in a unitarised meson model, owing its existence to the strong OZI-allowed \(^{3}\!P_{0}\) coupling to the nearby S-wave \(D^{*}\!K\) threshold. By the same non-perturbative mechanism, the narrow axial-vector D s1(2536) resonance shows up as a quasi-bound-state partner embedded in the \(D^{*}\!K\) continuum. With the same model and parameters, it is also shown that the preliminary broad 1 + D 1(2400) resonance and the established narrow 1 + D 1(2420) may be similar \(c\bar{n}\) partners, as a result of the strong OZI-allowed \(^{3}\!P_{0}\) coupling to the nearby S-wave \(D^{*}\!\pi\) threshold. The continuum bound states D 1(2420) and D s1(2536) are found to be mixtures of 33% \(^{3\!}P_{1}\) and 67% \(^{1\!}P_{1}\), whereas their partners D 1(2400) and D * sJ (2463) have more or less the opposite \(^{2S + 1}\!P_1\)-state content, but additionally with some \(D^{*}\!\pi\) or \(D^{*}\!K\) admixture, respectively. The employed mechanism also reproduces the ratio of the K L -K S mass difference and the K S width, by describing K L as a bound state embedded in the \(\pi\pi\) continuum. The model’s results for \(J^{P}\! = \!1^{ + }\) states containing one b quark are also discussed.
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References
J. von Neumann, E. Wigner, Phys. Z. 30, 465 (1929)
L.S. Cederbaum, R.S. Friedman, V.M. Ryaboy, N. Moiseyev, Phys. Rev. Lett. 90, 013001 (2003)
D.L. Pursey, T.A. Weber, prepared for 12th Int. Workshop on High-Energy Physics and Quantum Field theory (QFTHEP 97), Samara, Russia, 4-10 Sep 1997, published in Samara 1997, QFTHEP’97, pp. 435-438
H.C. Rosu, J. Socorro, Nuovo Cim. B 113, 677 (1998) [arXiv:gr-qc/9610018]
A. Khelashvili, N. Kiknadze, J. Phys. A 29, 3209 (1996) [arXiv:quant-ph/9511022]
J. Pappademos, U. Sukhatme, A. Pagnamenta, Phys. Rev. A 48, 3525 (1993) [arXiv:hep-ph/9305336]
E. van Beveren, G. Rupp, in Proc. Workshop Recent Developments in Particle and Nuclear Physics, April 30, 2001, Coimbra (Portugal), (Universidade de Coimbra, 2003) ISBN 972-95630-3-9, pages 1-16 [arXiv:hep-ph/0201006.
K. Hagiwara, \/[Particle Data Group Collaboration], Phys. Rev. D 66, 010001 (2002)
D. Besson [CLEO Collaboration], Phys. Rev. D 68, 032002 (2003) [arXiv:hep-ex/0305100]
D. Besson [CLEO Collaboration], to appear in Proc. 8th Conference on the Intersections of Particle and Nuclear Physics (CIPANP 2003), New York, 19-24 May 2003, arXiv:hep-ex/0305017
K. Abe [BELLE Collaboration], BELLE-CONF-02-35, Cont. paper for the 31st Int. Conf. on High Energy Physics (ICHEP 2002), Amsterdam, The Netherlands, 24-31 Jul 2002, session 8, Heavy quark mesons and baryons (incl. lattice calculations), paper ABS724
S. Anderson et al. [CLEO Collaboration], Conference report CLEO-CONF-99-6, (1999)
E. van Beveren, Z. Phys. C21 (1984) 291
E. van Beveren, G. Rupp, AIP Conf. Proc. 687, 86 (2003) [arXiv:hep-ph/0306155]
C. Dullemond, G. Rupp, T.A. Rijken, E. van Beveren, Comput. Phys. Commun. 27 (1982) 377
E. van Beveren, G. Rupp, T.A. Rijken, C. Dullemond, Phys. Rev. D 27, 1527 (1983)
E. van Beveren, C. Dullemond, G. Rupp, Phys. Rev. D21 (1980) 772 [Erratum-ibid. D22 (1980) 787]
E. van Beveren, G. Rupp, Eur. Phys. J. C 22, 493 (2001) [arXiv:hep-ex/0106077]
E. van Beveren, G. Rupp, AIP Conf. Proc. 619, 209 (2002) [arXiv:hep-ph/0110156]
M.D. Scadron, Mod. Phys. Lett. A 14, 1273 (1999) [arXiv:hep-ph/9910244]
E. van Beveren, G. Rupp, Int. J. Theor. Phys. Group Theor. Nonlin. Opt., in press (2003) [arXiv:hep-ph/0304105]
G.E. Brown, J.W. Durso, M.B. Johnson, J. Speth, Phys. Lett. B 238, 20 (1990)
I.I. Bigi, A.I. Sanda, Phys. Lett. B 148, 205 (1984)
P. Cea, G. Nardulli, Phys. Lett. B 152, 251 (1985)
J.F. Donoghue, E. Golowich, B.R. Holstein, Phys. Lett. B 135, 481 (1984)
J. Lowe, M.D. Scadron, arXiv:hep-ph/0208118
S.M. Flatté, Phys. Lett. B 63, 224 (1976)
R. Barate et al. [ALEPH Collaboration], Phys. Lett. B 425, 215 (1998)
M. Acciarri et al. [L3 Collaboration], Phys. Lett. B 465, 323 (1999) [arXiv:hep-ex/9909018]
T. Affolder et al. [CDF Collaboration], Phys. Rev. D 64, 072002 (2001)
K. Harder, arXiv:hep-ex/0110049
Y.S. Kalashnikova, A.V. Nefediev, Phys. Lett. B 530, 117 (2002) [arXiv:hep-ph/0112330]
S. Godfrey, arXiv:hep-ph/0305122
S. Godfrey, R. Kokoski, Phys. Rev. D 43, 1679 (1991)
B. Aubert et al. [BABAR Collaboration], arXiv:hep-ex/0304021
E. van Beveren, G. Rupp, Phys. Rev. Lett. 91, 012003 (2003) arXiv:hep-ph/0305035
K. Abe et al., contributed to International Europhysics Conference on High-Energy Physics (HEP 2003), Aachen, Germany, 17-23 Jul 2003, arXiv:hep-ex/0307052
P. Krokovny et al. [Belle Collaboration], arXiv:hep-ex/0308019
B. Aubert et al. [BABAR Collaboration], arXiv:hep-ex/0310050
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Received: 7 June 2003, Revised: 20 October 2003, Published online: 18 December 2003
PACS:
12.40.Yx, 14.40.Aq, 14.40.Lb, 13.25.Es, 13.25.Ft, 13.75.Lb
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Beveren, E.v., Rupp, G. Continuum bound states K L , D 1(2420), D s1(2536), and their partners K S , D 1(2400), D * sJ (2463). Eur. Phys. J. C 32, 493–499 (2004). https://doi.org/10.1140/epjc/s2003-01465-0
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DOI: https://doi.org/10.1140/epjc/s2003-01465-0