Role of the $N^{\ast }(2080)$ in $pp\to p{K}^{+}\mathrm{\Lambda }(1520)$ and ${\pi }^{-}p\to K^0\mathrm{\Lambda }(1520)$ reactions

We investigate the $\mathrm{\Lambda }(1520)$ hadronic production in the $p p \to p K^+ \Lambda(1520)$and$\pi^- p \to K^0 \Lambda(1520)$ reactions within the effective Lagrangian method. For ${\pi }^{-}p\to K^0\mathrm{\Lambda }(1520)$ reaction, in addition to the “background” contributions from $t-$channel $K^{\ast }$ exchange, $u-$channel ${\mathrm{\Sigma }}^{+}$ exchange, and $s-$channel nucleon pole terms, we also consider the contribution from the nucleon resonance $N^{\ast }(2080)$ (spin-parity $J^P=3\mathrm{/}{2}^{-}$), which has significant coupling to $K\mathrm{\Lambda }(1520)$ channel. We show that the inclusion of the nucleon resonance $N^{\ast }(2080)$ leads to a fairly good description of the low energy experimental total cross section data of ${\pi }^{-}p\to K^0\mathrm{\Lambda }(1520)$ reaction. From fitting to the experimental data, we get the $N^{\ast }(2080)N\pi$ coupling constant $g_{N^(2080)N \pi} = 0.14 \pm 0.04$\mathrm{.}Byusingthisvalueandwiththeassumptionthattheexcitationof$N^(2080)$isduetothe$\pi^0$-meson exchanges, we calculate the total and differential cross sections of $pp\to p{K}^{+}\mathrm{\Lambda }(1520)$ reaction. We also demonstrate that the invariant mass distribution and the Dalitz Plot provide direct information of the $\mathrm{\Lambda }(1520)$ production, which can be tested by future experiments.