Microscopic study of the production of neutron-rich isotopes near <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>126</mml:mn></mml:mrow></mml:math> in the multinucleon transfer reactions <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mmultiscripts><mml:mi>Kr</mml:mi><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>78</mml:mn><mml:mo>,</mml:mo><mml:mn>82</mml:mn><mml:mo>,</mml:mo><mml:mn>86</mml:mn></mml:mrow></mml:mmultiscripts><mml:mo>+</mml:mo><mml:mmultiscripts><mml:mi>Pb</mml:mi><mml:mprescripts/><mml:none/><mml:mn>208</mml:mn></mml:mmultiscripts></mml:mrow></mml:math>
Yuhai Zhang, Jingjing Li, Cheng Li, Minghao Zhang, Ying Zou, Feng-Shou Zhang
Abstract
The multinucleon transfer reactions $^{78,82,86}\mathrm{Kr}+^{208}\mathrm{Pb}$ at near-barrier energy are investigated by the improved quantum molecular dynamics model with the subsequent decay model gemini. The isotopic distributions of the products in the $^{136}\mathrm{Xe}+^{208}\mathrm{Pb}$ reaction at ${E}_{\text{c.m.}}=450$ MeV are calculated and compared with the experimental data. The influence of isospin equilibration of the primary products in the $^{78,82,86}\mathrm{Kr}+^{208}\mathrm{Pb}$ reactions are investigated. It suggests that the projectile $^{86}\mathrm{Kr}$ is favorable to the yields of neutron-rich nuclei. The total kinetic energy mass distributions and the evolution of the neck in collisions of $^{86}\mathrm{Kr}+^{208}\mathrm{Pb}$ at incident energies of ${E}_{\text{lab}\phantom{\rule{4.pt}{0ex}}}=5.40$, 6.40, and 7.40 MeV/nucleon are calculated. By analyzing the incident energy effect on the mass distributions and isotopic distributions of products in the reaction of $^{86}\mathrm{Kr}+^{208}\mathrm{Pb}$, we find that 6.40 MeV/nucleon is more suitable for producing neutron-rich isotopes near $N=126$.