Studies of $^{3}$He$+^{3}$He, T$+^{3}$He, and p$+$D nuclear reactions relevant to stellar or Big-Bang Nucleosynthesis using ICF plasmas at OMEGA

The $^{3}$He$+^{3}$He, T$+^{3}$He, and p$+$D reactions directly relevant to Stellar or Big-Bang Nucleosynthesis (BBN) have been studied at the OMEGA laser facility using high-temperature low-density `exploding pusher' implosions. The advantage of using these plasmas is that they better mimic astrophysical systems than cold-target accelerator experiments. Measured proton spectra from the $^{3}$He$^{3}$He reaction are used to constrain nuclear R-matrix modeling. The resulting T$+^{3}$He $\gamma $-ray data rule out an anomalously-high $^{6}$Li production during BBN as an explanation to the high observed values in primordial material. The proton spectrum from the T$+^{3}$He reaction is also being used to constrain the R-matrix model. Recent experiments have probed the p$+$D reaction for the first time in a plasma; this reaction is relevant to energy production in protostars, brown dwarfs and at higher CM energies to BBN.