$X(1835)$ and $η(1760)$ observed by the BES Collaboration

dc.creatorLi, De-Min
dc.creatorMa, Bing
dc.date2008-01-31
dc.date2008-04-03
dc.date.accessioned2026-07-07T11:14:09Z
dc.date.available2026-07-07T11:14:09Z
dc.descriptionWith the assumption that the $X(1835)$ and $η(1760)$ recently observed by the BES Collaboration are the $3\,^1S_0$ meson states, the strong decays of these two states are investigated in the $^3P_0$ decay model. We find that the predicted total widths of the $X(1835)$ and $η(1760)$ can be reasonably reproduced with the $X(18350)-η(1760)$ mixing angle lying on the range from $-0.26$ to $+0.55$ radians. Further, the mixing angle of the $X(1835)$ and $η(1760)$ is phenomenologically determined to be about $-0.24$ radians in the presence of the $π(1800)$, $K(1830)$, $η(1760)$ and $X(1835)$ belonging to the $3\,^1S_0$ meson nonet. Our estimated mixing angle can naturally account for the widths of the $X(1835)$ and $η(1760)$, which shows that the assignment of the $X(1835)$ and $η(1760)$, together the $π(1800)$ and $K(1830)$ as the $3\,^1S_0$ $q\bar{q}$ members seems reasonable.
dc.description14 pages, 2 figures, version to appear in Physical Review D
dc.identifierhttps://arxiv.org/abs/0801.4821
dc.identifierhttp://arxiv.org/abs/0801.4821
dc.identifierPhys.Rev.D77:074004,2008
dc.identifierdoi:10.1103/PhysRevD.77.074004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/191966
dc.subjectHigh Energy Physics - Phenomenology
dc.title$X(1835)$ and $η(1760)$ observed by the BES Collaboration
dc.typetext

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