Radiative E1 decays of X(3872)

X(3872) High Energy Physics - Phenomenology High Energy Physics - Experiment (hep-ex) High Energy Physics - Phenomenology (hep-ph) 0103 physical sciences FOS: Physical sciences Radiative decay Radial excited state 01 natural sciences High Energy Physics - Experiment
DOI: 10.1016/j.physletb.2011.02.014 Publication Date: 2011-02-07T09:11:22Z
ABSTRACT
Radiative E1 decay widths of $\rm X(3872)$ are calculated through the relativistic Salpeter method, with assumption that is $\chi_{c1}$(2P) state, which radial excited state $\chi_{c1}$(1P). We firstly width $\chi_{c1}$(1P), result in agreement experimental data excellently, then we case assignment it $\chi_{c1}$(2P). Results are: ${\Gamma}({\rm X(3872)}\rightarrow \gamma \sl J/\psi)=33.0$ keV, \psi(2S))=146$ keV and \psi(3770))=7.09$ keV. The ratio ${{\rm Br(X(3872)}\rightarrow\gamma\psi(2{\rm S}))}/{{\rm Br(X(3872)}\rightarrow {\sl J}/\psi)}=4.4$ agrees by BaBar, but larger than new up-bound reported Belle recently. With same also predict widths: ${\Gamma}(\chi_{b1}(1\rm P))\rightarrow \Upsilon(1\rm S))=30.0$ ${\Gamma}(\chi_{b1}(2\rm S))=5.65$ \Upsilon(2S))=15.8$ full P))\sim 85.7$ 66.5$
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