Angular distribution of products in multinucleon transfer reactions* *Supported by the Guangdong Major Project of Basic and Applied Basic Research (2021B0301030006), the National Natural Science Foundation of China (12175151, 12105181, 11847235), and the Steady Support Program for Higher Education Institutions of Shenzhen (20200817005440001)

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A method based on the dinuclear system (DNS) is proposed to describe the angular distribution of products in multinucleon transfer (MNT) reactions. By considering fluctuation effects, the angular distributions of reactions involving 136Xe+208Pb, 136Xe+209Bi, 86Kr+166Er, 84Kr+209Bi, and 84Kr+208Pb are examined, demonstrating good agreement with experimental data. Moreover, the double differential cross-sections ( and ) of reactions 136Xe+208Pb and 136Xe+209Bi are analyzed to explore the mechanism of angular distribution in MNT reactions. Additionally, the optimal angles for detecting N=126 isotopes are determined via an analysis on the influence of proton and neutron numbers of the projectiles on the angular distribution of the N=126 isotopic line. The results of this study can provide valuable insights for experimental detection.