Is X(3872) {\sl Really} a Molecular State?

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dc.creatorLiu, Yan-Rui
dc.creatorLiu, Xiang
dc.creatorDeng, Wei-Zhen
dc.creatorZhu, Shi-Lin
dc.date2008-01-23
dc.date2008-05-13
dc.date.accessioned2026-07-07T11:55:28Z
dc.date.available2026-07-07T11:55:28Z
dc.descriptionAfter taking into account both the pion and sigma meson exchange potential, we have performed a dynamical calculation of the $D^0\bar{D}^{\ast0}$ 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 $D^\ast Dπ$ 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 $D\bar{D}^\ast$ system exist only with either a very large coupling constant (two times of the experimental value) or a large cutoff ($Λ\sim 6$ GeV or $β\sim 6$ GeV$^2$). In contrast, there probably exists a loosely bound S-wave $B\bar{B}^\ast$ molecular state. Once produced, such a molecular state would be rather stable since its dominant decay mode is the radiative decay through $B^\ast\to B γ$. Experimental search of these states will be very interesting.
dc.description11 pages, 7 figures, 9 tables. The version to appear in EPJC
dc.identifierhttps://arxiv.org/abs/0801.3540
dc.identifierhttp://arxiv.org/abs/0801.3540
dc.identifierEur.Phys.J.C56:63-73,2008
dc.identifierdoi:10.1140/epjc/s10052-008-0640-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205253
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Experiment
dc.subjectHigh Energy Physics - Lattice
dc.subjectNuclear Theory
dc.titleIs X(3872) {\sl Really} a Molecular State?
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