  Angular correlation spectra of $e^+e^-$ pairs produced in the
$^{7}$Li($p$,$\gamma$)$^{8}$Be nuclear reaction were studied at a proton beam
energy of $E_p$~=~4.0~MeV, which corresponds to the excitation energy of the
Giant Dipole Resonance (GDR) in $^8$Be. The spectra measured show a peak like
anomaly at 120$^\circ$ and a broader anomaly also above 140$^\circ$. Both
anomalies could consistently be described by assuming that the same
hypothetical X17 particle was created both in the ground-state transition and
in the transition going to the broad ($\Gamma$=1.5~MeV), first excited state in
$^8$Be. The invariant mass of the particle, which was derived to be $m_Xc^2 =
16.95 \pm 0.48$(stat.)~MeV, agrees well with our previously published values.
