Continuum bound states K L , D 1(2420), D s1(2536), and their partners K S , D 1(2400), D * sJ (2463)

experimental physics

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.

Keywords

Mass Difference State Content Similar Partner Meson Model Unitarised Meson 

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2004

Authors and Affiliations

  1. 1.Centro de Física Teórica, Departamento de FísicaUniversidade de CoimbraCoimbraPortugal
  2. 2.Instituto Superior TécnicoCentro de Física das Interacções FundamentaisLisboa CodexPortugal

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