Pion-induced production of $\mathrm{\Lambda }(1520)$ hyperons on nuclei near threshold

We study the pion-induced inclusive $\mathrm{\Lambda }(1520)$ hyperon production from nuclei near threshold within a nuclear spectral function approach accounting for incoherent primary ${\pi }^{-}$ meson–proton ${\pi }^{-}p\to K^0\mathrm{\Lambda }(1520)$ production processes. We calculate the absolute differential and total cross sections for the production of $\mathrm{\Lambda }(1520)$ hyperons off carbon and tungsten nuclei at laboratory angles of 0${}^{\circ }$–10${}^{\circ }$, 10${}^{\circ }$–45${}^{\circ }$ and 45${}^{\circ }$–85${}^{\circ }$ by ${\pi }^{-}$ mesons with momentum of 1.7 GeV/c as well as their relative (transparency ratio) differential and integral yields from these nuclei within four scenarios for their total in-medium width. We demonstrate that these absolute observables, contrary to the relative ones, reveal some sensitivity to the $\mathrm{\Lambda }(1520)$ in-medium width. Therefore, their measurement in a dedicated experiment at the GSI pion beam facility will allow to shed light on this width.