We study the antikaon-induced inclusive cascade ${\mathrm{\Xi }}^{-}$ hyperon production from ¹²C and ¹⁸⁴W target nuclei near threshold within a nuclear spectral function approach. The approach describes incoherent direct ${\mathrm{\Xi }}^{-}$ hyperon production in elementary $K^{-}p\to K^{+}{\mathrm{\Xi }}^{-}$ and $K^{-}n\to K^0{\mathrm{\Xi }}^{-}$ processes as well as takes into account the influence of the scalar nuclear $K^{-}$, $K^{+}$, $K^0$, ${\mathrm{\Xi }}^{-}$ and their Coulomb potentials on these processes. We calculate the absolute differential and total cross sections for the production of ${\mathrm{\Xi }}^{-}$ hyperons off these nuclei at laboratory angles ≤ 45^∘ by $K^{-}$ mesons with momenta of 1.0 and 1.3 GeV/c, which are close to the threshold momentum (1.05 GeV/c) for ${\mathrm{\Xi }}^{-}$ hyperon production on the free target nucleon at rest. We also calculate the momentum dependence of the transparency ratio for the ¹⁸⁴W/¹²C combination for ${\mathrm{\Xi }}^{-}$ hyperons at these $K^{-}$ beam momenta. We show that the ${\mathrm{\Xi }}^{-}$ differential and total (absolute and relative) production cross sections at the considered initial momenta reveal a distinct sensitivity to the variations in the scalar ${\mathrm{\Xi }}^{-}$ nuclear potential at saturation density ${\rho }_0$, studied in the paper, in the low-momentum region of 0.1–0.6 GeV/c. We also demonstrate that for the subthreshold $K^{-}$ meson momentum of 1.0 GeV/c there is, contrary to the case of its above threshold momentum of 1.3 GeV/c, a strong sensitivity of the transparency ratio for ${\mathrm{\Xi }}^{-}$ hyperons to the considered changes in the ${\mathrm{\Xi }}^{-}$ nuclear potential at all outgoing ${\mathrm{\Xi }}^{-}$ momenta as well, which cannot be masked, as in the case of differential and total observables mentioned above, by that associated with the possible changes in the poorly known experimentally ${\mathrm{\Xi }}^{-}N$ inelastic cross section. Therefore, the measurement of these absolute and relative observables in a dedicated experiment at the J-PARC Hadron Experimental Facility will provide valuable information on the ${\mathrm{\Xi }}^{-}$ in-medium properties, which will be complementary to that deduced from the study of the inclusive ($K^{-}$,$K^{+}$) reactions at incident momenta of 1.6–1.8 GeV/c in the ${\mathrm{\Xi }}^{-}$ bound and quasi-free regions.

我们研究了抗钾诱导的包容级联反应 ${\mathrm{\Xi }}^{-}$在核谱函数方法中，从接近阈值的¹² C和¹⁸⁴ W目标核产生超子。该方法描述了不连贯的直接${\mathrm{\Xi }}^{-}$ 基本的Hyperon生产 ${ķ}^{-}p\to {ķ}^{+}{\mathrm{\Xi }}^{-}$ 和 ${ķ}^{-}ñ\to {ķ}^0{\mathrm{\Xi }}^{-}$ 过程以及考虑到标量核的影响 ${ķ}^{-}$， ${ķ}^{+}$， ${ķ}^0$， ${\mathrm{\Xi }}^{-}$以及它们在这些过程中的库仑潜能。我们计算生产的绝对微分和总横截面${\mathrm{\Xi }}^{-}$超子断这些核在实验室角≤45 ^∘由${ķ}^{-}$ 介子的动量为1.0和1.3 GeV / c，接近于阈值动量（1.05 GeV / c） ${\mathrm{\Xi }}^{-}$静止目标上自由子核上的超子产生。我们还计算了¹⁸⁴ W / ¹² C组合的透明度比的动量依赖性${\mathrm{\Xi }}^{-}$ 这些的超子 ${ķ}^{-}$光束矩 我们表明${\mathrm{\Xi }}^{-}$ 在考虑的初始力矩下的差分和总（绝对和相对）生产横截面显示出对标量变化的明显敏感性 ${\mathrm{\Xi }}^{-}$ 饱和密度下的核势 ${\rho }_0$在本文的研究中，在0.1-0.6 GeV / c的低动量区域。我们还证明了对于亚阈值${ķ}^{-}$ 介子动量为1.0 GeV / c时，与高于阈值动量1.3 GeV / c的情况相反，对于 ${\mathrm{\Xi }}^{-}$ 超子到考虑的变化 ${\mathrm{\Xi }}^{-}$ 核电全部传出 ${\mathrm{\Xi }}^{-}$ 同样，在上述差分和整体观测值的情况下，也无法通过与实验上鲜为人知的可能变化相关联的动量来掩盖动量 ${\mathrm{\Xi }}^{-}ñ$无弹性的横截面。因此，在J-PARC强子实验设施的专用实验中对这些绝对观测值和相对观测值的测量将提供有关${\mathrm{\Xi }}^{-}$ 中等属性，这将是对包容性研究（${ķ}^{-}$，${ķ}^{+}$）在入射时刻1.6–1.8 GeV / c处的反应 ${\mathrm{\Xi }}^{-}$ 有界和无准区。