Elastic scattering of $^{\mathrm{3}}$He$+^{\mathrm{4}}$He with SONIK

Elastic scattering of $^{\mathrm{3}}$He$+^{\mathrm{4}}$He is important for a theoretical and phenomenological understanding of $^{\mathrm{4}}$He($^{\mathrm{3}}$He,$\gamma )^{\mathrm{7}}$Be, a key reaction in big bang nucleosynthesis and solar neutrino physics. The astrophysical S factor for this reaction is a dominant source of uncertainty in the prediction of $^{\mathrm{7}}$Be and $^{\mathrm{8}}$B solar neutrino flux using standard solar model. The elastic scattering measurements reported in the literature do not extend to low energies and lack proper uncertainty quantification. A new measurement of $^{\mathrm{4}}$He($^{\mathrm{3}}$He,$^{\mathrm{3}}$He)$^{\mathrm{4}}$He elastic scattering has been measured for 0.72 $\le $ E[$^{\mathrm{3}}$He] $\le $ 5.48 MeV using Scattering of Nuclei in Inverse Kinematics (SONIK) scattering chamber, a windowless, extended gas target surrounded by an array of 30 doubly-collimated silicon charged particle detectors situated at TRIUMF. Experimental techniques and the results from the experiment will be discussed. The results from the R-matrix analysis of the elastic scattering data will be presented.