In the current study, we examined every possible cluster–daughter combination in the heavy-particle decay of isotopes 297–300119 and computed the decay half-lives using the modified generalized liquid drop model (MGLDM) with the preformation factor depending on the disintegration energy. The predicted half-life of every heavy cluster \({(Z}_{\text{C}}\) ≥ 32) was within the experimentally observable limits. These results aligned with the predictions of Poenaru et al. [Phys. Rev. Lett. 107, 062503 (2011)] that superheavy nuclei (SHN) with Z > 110 will release heavy particles with a penetrability comparable to or greater than the α-decay. The half-lives predicted using the MGLDM for clusters 89Rb, 91Rb, and 92Rb from parents 297119, 299119, and 300119, respectively, agreed with the predictions of Poenaru et al. [Eur. Phys. J. A 54, 14 (2018)]. It was found that the isotopes of heavy clusters Kr, Rb, Sr, Pa, In, and Cd had half-lives comparable to the α half-life; and isotopes of clusters I, Xe, and Cs had the minimum half-life (10–14 s). These observations revealed the role of the shell closure (Z = 82, N = 82, and N = 126) of the cluster and daughter nuclei in heavy-cluster radioactivity. We predicted that isotope 297,299119 decayed by 4α decay chains and isotope 300119 decayed by 6α decay chains, while 298119 decayed by continuous α decay chains. The predicted half-lives and modes of decay of the nuclei in the decay chains of 297–300119 agreed with the experimental data, proving the reliability of our calculations. The present study determined the most favorable heavy-cluster emissions from these nuclei and provided suitable projectile–target combinations for their synthesis.
