Decays of the X(3872) and $χ_{c1}(2P)$ charmonium

dc.creatorMeng, Ce
dc.creatorChao, Kuang-Ta
dc.date2007-03-19
dc.date2007-05-10
dc.date.accessioned2026-07-07T11:22:51Z
dc.date.available2026-07-07T11:22:51Z
dc.descriptionWe re-examine the re-scattering mechanism for the X(3872), as a candidate for the 2P charmonium state $χ_{c1}(2P)$, decaying to $J/ψρ(ω)$ through exchanging $D^{(*)}$ mesons between intermediate states $D(\bar{D})$ and $\bar{D}^*(D^*)$. We evaluate the dispersive part, as well as the absorptive one, of the re-scattering amplitude and find that the contribution from the dispersive part is dominant even when X(3872) lies above the threshold of the neutral channel $th_n=m_{D^0}+m_{D^{*0}}$. We predict $R_{ρ/ω}\simeq 1$ for the $m_X$ region scanned by experiments. Meanwhile, we also estimate the rate of $X\to D^0\bar{D}^{0}π^0$. Our results favor a charmonium interpretation of X(3872) when it lies slightly below the threshold of $D^0\bar{D}^{*0}$. Furthermore, we evaluated the width of $X\to J/ψρ$ with the help of a phenomenological effective coupling constant $g_X$, and find the total width of X(3872) to be in the range of 1-2 MeV.
dc.descriptionVersion submitted and accepted for publication in PRD; more discussions and references added
dc.identifierhttps://arxiv.org/abs/hep-ph/0703205
dc.identifierhttp://arxiv.org/abs/hep-ph/0703205
dc.identifierPhys.Rev.D75:114002,2007
dc.identifierdoi:10.1103/PhysRevD.75.114002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194712
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Experiment
dc.titleDecays of the X(3872) and $χ_{c1}(2P)$ charmonium
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