Is X(3872) really a molecular state? |
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Authors: | Yan-Rui Liu Xiang Liu Wei-Zhen Deng Shi-Lin Zhu |
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Institution: | (1) Institute of High Energy Physics, P.O. Box 918-4, Beijing, 100049, P.R. China;(2) Department of Physics, Peking University, Beijing, 100871, P.R. China |
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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.
PACS 12.39.Pn; 12.40.Yx; 13.75.Lb |
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Keywords: | |
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