Production of isotopes far from stability valley via quantal diffusion descriptionbased on the stochastic mean-field approach

Multinucleon transfer (MNT) reactions involving heavy projectile and target combinations

stand as a promising method for synthesizing yet unknown neutron-deficit and neutron-rich

isotopes, which may not be possible using hot or cold fusion, fission, or fragmentation reactions.

For this purpose, MNT reactions have been experimentally studied close to barrier energies

and several phenomenological approaches that have a number of adjustable parameters have

been used to investigate the multinucleon transfer mechanism. These methods have produced

qualitative and partially semiquantitative descriptions of the reaction mechanism.

The stochastic mean-field (SMF) approach provides further improvement of the Time-

Dependent Hartree Fock (THDF) theory beyond the mean field approximation. In SMF ap-

proach, macroscopic transport coefficients are calculated in terms of only the occupied single

particle states of TDHF. As a result, microscopic transport description of dissipation and fluctu-

ation dynamics of low heavy-ion collisions are characterized in terms of TDHF wave functions by

taking quantal effects due to shell structure, full collision geometry and Pauli exclusion principle

into account without any adjustable parameters.

Production cross sections of neutron-deficit and neutron-rich primary isotopes are calculated

by employing the quantal diffusion description of multinucleon transfer based on the SMF ap-

proach. De-excitation process of primary fragments are carried out via GEMINI++. As an

application of the approach, we analyze the secondary isotope production in ⁴⁰Ca + ¹²⁴Sn, ⁵⁸Ni

+ ¹²⁴Sn, ⁴⁰Ca + ²⁰⁸Pb, and ⁴⁰Ar + ²⁰⁸Pb collisions and compare the calculations with the

available experimental data.