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The thermal and coalescence models both describe well yields of light nucleiproduced in relativistic heavy-ion collisions at LHC. We propose to measure theyield of $^4{\rm Li}$ and compare it to that of $^4{\rm He}$ to falsify one ofthe models. Since the masses of $^4{\rm He}$ and $^4{\rm Li}$ are almost equal,the yield of $^4{\rm Li}$ is about 5 times bigger than that of $^4{\rm He}$ inthe thermal model because of different numbers of spin states of the twonuclides. Their internal structures are, however, very different: the alphaparticle is well bound and compact while $^4{\rm Li}$ is weakly bound andloose. Consequently, the ratio of yields of $^4{\rm Li}$ to $^4{\rm He}$ issignificantly smaller in the coalescence model and it strongly depends on thecollision centrality. Since the nuclide $^4{\rm Li}$ is unstable and it decaysinto $^3{\rm He}$ and $p$, the yield of $^4{\rm Li}$ can be experimentallyobtained through a measurement of the $p\!-\!^3{\rm He}$ correlation function.The function carries information not only about the yield of $^4{\rm Li}$ butalso about the source of $^3{\rm He}$ and allows one to determine through asource-size measurement whether of $^3{\rm He}$ is directly emitted from thefireball or it is formed afterwards. We compute the correlation function takinginto account the $s-$wave scattering and Coulomb repulsion together with theresonance interaction responsible for the $^4{\rm Li}$ nuclide. We discuss howto infer information about an origin of $^3{\rm He}$ from the correlationfunction, and finally a method to obtain the yield of $^4{\rm Li}$ is proposed.

Production of $^4{\rm Li}$ and $p\!-\!^3{\rm He}$ correlation function in relativistic heavy-ion collisions