Study of $^3_{\Lambda}$H and $^3_{\Lambda}$H in the reaction of $^6$Li + $^{12}$C at 2 A GeV

The feasibility of studying hypernuclei by means of peripheral heavy ion induced reactions was demonstrated by observing clear signals of $\Lambda$, $^3_{\Lambda}$H, $^4_{\Lambda}$H in their respective invariant mass distributions from their mesonic decay. The experiment was performed with $^6$Li beams at $2 \ A$~GeV impinging on a carbon target.rnrnThis thesis presents an independent analysis which aims to corroborate previous results obtained by the HypHI collaboration. For this purpose, a track reconstruction procedure, based on the Kalman filtering approach, and two different secondary vertex reconstruction algorithms have been implemented.rnrnThe invariant masses of the $\Lambda$-hyperon, the $^3_{\Lambda}$H and the $^4_{\Lambda}$H hypernuclei were found to be $1109.6 \pm 0.38$, $2981.0 \pm 0.30$ and $3898.1 \pm 0.68$~MeV$/c^2$ with statistical significance of $9.8\sigma$, $12.8\sigma$ and $7.3\sigma$, respectively. The results obtained in this work are in agreement with the previous analysis.rnrnThe hypernuclei yield ratio was found to be $N(^3_{\Lambda}$H)/$N(^4_{\Lambda}$H)$ \sim 3$, which suggests that the production mechanism of hypernuclear in heavy ion induced reactions in the projectile rapidity region involves not only the coalescence mechanism but also secondary pion-/kaon- induced reactions and Fermi break-up