Investigation of Production Cross Sections for Superheavy Nuclei with Z = 116 ~121 in Dinuclear System Concept

Key words: 
• dinuclear system model /
• master equation /
• superheavy nuclei /
• evaporation residue cross section

Abstract: The production cross sections of superheavy elements with Z = 116~121 have been investigated systematically within the dinuclear system (DNS) concept, where the master equation is solved numerically to obtain the fusion probability. The competition between complete fusion and quasifission, which can strongly affect the cross section of the compound nucleus formation, is taken into account. The evaporation residue cross sections ER calculated for the hot fusion actinide-based reactions (⁴⁸Ca+²⁴⁵Cm, ⁴⁸Ca+²⁴⁹Cf and ⁴⁸Ca+²⁴⁹Bk) are basically in agreement with the known experimental data within one order of magnitude. Similar calculations for the synthesis of superheavy elements up to Z = 121 are performed using the available 249Bk, ²⁴⁹Cf and ²⁴³Am as targets and ⁴⁸Ca, ⁵⁰Ti and ⁵⁸Fe as projectiles. Their production cross sections are relatively small,especially for the ⁵⁸Fe+²⁴³Am→³⁰¹121 reaction. A systematic analysis indicates that the 3n and 4n channels
are respectively the most favorable fusion-evaporation channels in the synthesis of even- and odd-Z superheavy elements.