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Is X(3872) really a molecular state?

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Abstract

After taking into account both the pion and sigma meson exchange potential, we have performed a dynamical calculation of the D0D̄*0 system. The σ meson exchange potential is repulsive from heavy quark symmetry and numerically important for a loosely bound system. Our analysis disfavors the interpretation of X(3872) as a loosely bound molecular state if we use the experimental D*Dπ coupling constant g=0.59 and a reasonable cutoff around 1 GeV, which is the typical hadronic scale. Bound state solutions with negative eigenvalues for the DD̄* system exist only with either a very large coupling constant (twice the experimental value) or a large cutoff (Λ ∼ 6 GeV or β ∼ 6 GeV2). In contrast, there probably exists a loosely bound S-wave BB̄* molecular state. Once produced, such a molecular state would be rather stable, since its dominant decay mode is the radiative decay through B*→Bγ. Experimental search of these states will be very interesting.

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Authors and Affiliations

  1. Institute of High Energy Physics, P.O. Box 918-4, Beijing, 100049, P.R. China

    Yan-Rui Liu

  2. Department of Physics, Peking University, Beijing, 100871, P.R. China

    Xiang Liu, Wei-Zhen Deng & Shi-Lin Zhu

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  1. Yan-Rui Liu
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  2. Xiang Liu
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  3. Wei-Zhen Deng
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  4. Shi-Lin Zhu
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Correspondence to Shi-Lin Zhu.

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PACS

12.39.Pn; 12.40.Yx; 13.75.Lb

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Liu, YR., Liu, X., Deng, WZ. et al. Is X(3872) really a molecular state?. Eur. Phys. J. C 56, 63–73 (2008). https://doi.org/10.1140/epjc/s10052-008-0640-4

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  • DOI: https://doi.org/10.1140/epjc/s10052-008-0640-4

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