Continuum bound states K-long, D_{1}(2420), D_{s1}(2536) and their partners K-short, D_{1}(2400), D*_{sJ}(2463)

Abstract

The very recently observed $D_{sJ}^{\ast }(2463)$ 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 $D^{\ast }K$ 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 $D^{\ast }K$ 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 $D^{\ast }\pi$ 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 $D_{sJ}^{\ast }(2463)$ have more or less the opposite ${}^{2S+1}{P}_1$-state content, but additionally with some $D^{\ast }\pi$ or $D^{\ast }K$ 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.

arXiv comment11 pages, plain LaTeX, v2:relation to work of Kokoski and Godfrey in conclusions and more references v3:B-states included. More references

References in corpus (11)

• Observation of a Narrow Resonance of Mass 2.46 GeV/c^2 Decaying to D_s^*+ pi^0 and Confirmation of the D_sJ^* (2317) State
• Observed D_s(2317) and tentative D(2100-2300) as the charmed cousins of the light scalar nonet
• Bound States in the Continuum from Supersymmetric Quantum Mechanics
• Modified Breit-Wigner formula for mesonic resonances describing OZI decays of confined $q\bar{q}$ states and the light scalar mesons
• Measurement of the Spectroscopy of Orbitally Excited B Mesons at LEP
• Coupling constants and transition potentials for hadronic decay modes of a meson
• Orbitally excited D and B mesons in the approach of the QCD string with quarks at the ends
• The von Neumann-Wigner type potentials and the wave functions' asymptotics for the discrete levels in continuum
• On the dominance of non-exotic meson-meson scattering by s-channel qqbar confinement states and the classification of the scalar mesons
• Explaining the Ds(2317)
• Kaon Weak Decays in Chiral Theories

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