Possible syntheses of unknown superheavy ^309,312126 nuclei

In this paper, we theoretically investigate 21 projectile-target combinations of stable isotopes for the pre-synthesis parameters and production cross sections of the unknown superheavy ^309,312126 nuclei. It is found that ⁶¹Ni + ²⁴⁸Cf and ⁶⁴Ni + ²⁴⁸Cf combinations are the best candidates for the synthesis of the ^309,312126 isotopes due to their largest cross sections of 0.03 and 3.6 pb, respectively. Besides, the results in the present and previous works indicate that the uncertainty, from pb to zb, in the synthesis cross sections of superheavy nuclei should be narrowed for a decision of measurements using the presently available facilities. This study, thus, provides valuable data for the synthesis of 126th element.