In this paper we aim to investigate the process of massless scalar wave scattering due to a self-dual black hole through the partial wave method. We calculate the phase shift analytically at the low energy limit and we show that the dominant term of the differential cross section at the small angle limit is modified by the presence of parameters related to the polymeric function and minimum area of a self-dual black hole. We also find that the result for the absorption cross section is given by the event horizon area of the self-dual black hole at the low frequency limit. We also show that, contrarily to the case of a Schwarzschild black hole, the differential scattering/absorption cross section of a self-dual black hole is nonzero at the zero mass limit. In addition, we verify these results by numerically solving the radial equation for arbitrary frequencies.

中文翻译：

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自双黑洞吸收和散射

在本文中，我们旨在通过分波方法研究由于自双黑洞导致的无质量标量波散射过程。我们在低能量极限处分析计算相移，我们表明小角度极限处的微分横截面的主导项被与聚合物函数和自双黑洞最小面积相关的参数的存在修改. 我们还发现吸收截面的结果由自双黑洞在低频极限处的事件视界面积给出。我们还表明，与 Schwarzschild 黑洞的情况相反，自双黑洞的微分散射/吸收截面在零质量极限处是非零的。此外，