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

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

2008-01-31

arxiv.org/abs/0801.4821v3

Phys.Rev.D77:074004,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 2 figures, version to appear in Physical Review D

Scientific paper

10.1103/PhysRevD.77.074004

With the assumption that the $X(1835)$ and $\eta(1760)$ 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 $\eta(1760)$ can be reasonably reproduced with the $X(18350)-\eta(1760)$ mixing angle lying on the range from $-0.26$ to $+0.55$ radians. Further, the mixing angle of the $X(1835)$ and $\eta(1760)$ is phenomenologically determined to be about $-0.24$ radians in the presence of the $\pi(1800)$, $K(1830)$, $\eta(1760)$ 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 $\eta(1760)$, which shows that the assignment of the $X(1835)$ and $\eta(1760)$, together the $\pi(1800)$ and $K(1830)$ as the $3\,^1S_0$ $q\bar{q}$ members seems reasonable.

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