Spin determination of particle unstable levels with particle correlations

Particle correlation functions from central $^{129}\mathrm{Xe}+^{197}\mathrm{Au}$ collisions at $50A\phantom{\rule{0.3em}{0ex}}\mathrm{MeV}$ have been measured with a large area $\text{silicon}\text{\penalty1000-\hskip0pt}\text{strip}∕\mathrm{Cs}\mathrm{I}$ detector array. A new technique of spin determination from particle correlation functions is proposed. Two examples of correlation functions are studied. The spin of the first excited level of $^{8}\mathrm{B}$ at $0.774\phantom{\rule{0.3em}{0ex}}\mathrm{MeV}$ is determined as $J=1$.