Searching for ${}^4\overline{L}i$ by momentum correlation function of $\overline{p}{-}^3\overline{H}e$

Abstract

The observed heaviest anti-nucleus so far is ${}^4\overline{H}e$ which is found in relativistic heavy ion collider in 2011. The yield of ${}^4\overline{L}i$ is four times bigger than that of ${}^4\overline{H}e$ according to the thermal model. From previous scattering experiment, we know that the ${}^{4}Li$ has a very short life time about $1.197\times 10^{-22}s$. It decays into ${}^{3}He$ and $p$. In experiment, the correlation function of $\overline{p}{-}^3\overline{H}e$ will offer us a method to observe ${}^4\overline{L}i$ by CPT symmetry. In this paper, we use the blast-wave model and Lednicky-Lyuboshitz analytical model to obtain a prediction of the correlation function of $\overline{p}-{}^3\overline{H}e$ with/without ${}^4\overline{L}i$ decay in Au + Au collisions at $\sqrt{S_{NN}}$ = 200 GeV. The correlation function with ${}^4\overline{L}i$ decay is found to exhibit a peak at $k^{\ast }\approx$ 0.073GeV/$c$. The results offer a guide for the experimental search for ${}^4\overline{L}i$ in relativistic heavy ion collision.

7 pages, 6 figures