A measurement of the scintillation decay time constant of nuclear recoils in liquid xenon with the XMASS-I detector

We report an in-situ measurement of the nuclear recoil (NR) scintillation decay time constant in liquid xenon (LXe) using the XMASS-I detector at the Kamioka underground laboratory in Japan. XMASS-I is a large single-phase LXe scintillation detector whose purpose is the direct detection of dark matter via the NR resulting from collisions with Weakly Interacting Massive Particles (WIMPs). The inner detector volume contains 832 kg of LXe. $^{252}$Cf was used as a source of irradiating neutrons outside of the detector. The decay time constant of the resulting neutron induced NR was evaluated by comparing the observed photon detection times with Monte Carlo simulations for various decay time constants. Fits to the decay time prefer two decay time components, the singlet and the triplet state $\tau_{S}$ and $\tau_{T}$ respectively; with $\tau_{S}$ = 4.3$\pm$0.6 ns taken from prior research, $\tau_{T}$ was measured to be 26.9$^{+0.8}_{-1.2}$ ns with a singlet state fraction F$_{S}$ of 0.252$^{+0.028}_{-0.020}$. We also evaluated the performance of pulse shape discrimination between NR and electron recoil (ER) with the aim of reducing the electromagnetic background in WIMP searches. For a 50\% NR acceptance the ER acceptance was 13.7${\pm}$1.0\% and 4.1${\pm}$0.7\% in the energy ranges of 5--10 keV$_{\rm ee}$ and 10--15 keV$_{\rm ee}$, respectively.