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

dc.creatorvan Beveren, Eef
dc.creatorRupp, George
dc.date2003-06-05
dc.date2003-07-31
dc.date.accessioned2026-07-07T10:28:49Z
dc.date.available2026-07-07T10:28:49Z
dc.descriptionThe very recently observed $D^{\ast}_{sJ}(2463)$ 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 $D^{\ast}K$ 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 $D^{\ast}π$ 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 $D^{\ast}_{sJ}(2463)$ have more or less the opposite $^{2S+1}P_1$-state content, but additionally with some $D^{\ast}π$ 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 $ππ$ continuum. The model's results for $J^{P}=1^{+}$ states containing one $b$ quark are also discussed.
dc.description11 pages, plain LaTeX, v2:relation to work of Kokoski and Godfrey in conclusions and more references v3:B-states included. More references
dc.identifierhttps://arxiv.org/abs/hep-ph/0306051
dc.identifierhttp://arxiv.org/abs/hep-ph/0306051
dc.identifierEur.Phys.J.C32:493-499,2004
dc.identifierdoi:10.1140/epjc/s2003-01465-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/177586
dc.subjectHigh Energy Physics - Phenomenology
dc.titleContinuum bound states K-long, D_{1}(2420), D_{s1}(2536) and their partners K-short, D_{1}(2400), D*_{sJ}(2463)
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