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VOLUME 102 | ISSUE 5 | PAGE 297
On a search for the \boldsymbol{\eta \rightarrow e^+ e^-} decay at the VEPP-2000 e+e- collider
A sensitivity of the VEPP-2000 e+e- collider in a search for the rare decay \eta \rightarrow e^+ e^- has been studied. The inverse reaction e^+ e^- \rightarrow \eta is proposed for this search. We have analyzed a data sample with an integrated luminosity of 108 nb-1 collected with the SND detector in the center-of-mass energy range 520-580 MeV and found no background events for the reaction e^+ e^- \rightarrow \eta in the decay mode η→π0π0π0. In the absence of background, a sensitivity to {\cal B}(\eta \rightarrow e^+ e^-) of 10-6 can be reached during two weeks of VEPP-2000 operation. Such a sensitivity is better than the current upper limit on {\cal B}(\eta \rightarrow e^+ e^-) by a factor of 2.3.