The stochastic mean-field (SMF) approach beyond the time-dependent-Hartree-Fock theory is used to explore the primary production cross sections in Ni-64 + Te-130 at the bombarding energy E-c.m. = 184.3 MeV and Pb-206 + Sn-118 at E-c.m. = 436.8 MeV. Secondary production cross-sections in the same systems are calculated using a statistical de-excitation model with GEMINI++ code. The obtained results are compared with available experimental data. Analysis employing SMF and GEMINI++ exhibit a good agreement with the experimental data.

The stochastic mean-field (SMF) technique beyond the time-dependent-Hartree-Fock approach is used to explore the primary mass yields of quasifission fragments in the ^58Fe+^208Pb reaction at the bombarding energy E_c.m. = 238.5 MeV, ^50Ti+^208Pb reaction at E_c.m. = 237 MeV, and in the ^36S+^238U reaction at E_c.m. = 151.1 MeV. A statistical de-excitation model, GEMINI++ code, is used for calculating the primary mass yields of fusion–fission fragments after the de-excitation processes of primary products in the same systems. The obtained results are compared with available experimental data. Analysis of SMF and GEMINI++ calculations exhibit a good agreement with the corresponding experimental results, signifying the reliability of our approach in describing the fragment mass yields for the specific reaction systems.

The multinucleon transfer mechanism in $^{160}\mathrm{Gd}+^{186}\mathrm{W}$ collisions is investigated in the framework of quantal transport description, based on the stochastic mean-field (SMF) theory. The SMF theory provides a microscopic approach for nuclear dynamics beyond the time-dependent Hartree-Fock approach by including mean-field fluctuations. Cross sections for the primary fragment production are determined in the quantal transport description and compared with the available data.

This work aims to show that the quantal diffusion approach based on the stochastic mean field (SMF) theory is capable of explaining the reaction dynamics observed in MNT reactions. Primary product mass distributions in ^48Ca+^244Pu reaction at E_c.m.= 203.2 MeV and ^86Kr+^198Pt reaction at E_c.m. = 324.2 MeV are calculated and compared with the available experimental data.

Background: Multinucleon transfer (MNT) reactions involving heavy projectile and target combinations stand as a promising method for synthesizing new neutron -rich exotic nuclei, which may not be possible using hot or cold fusion reactions or fragmentation. Exploring the mechanisms behind MNT reactions is essential and it requires a comprehensive theoretical framework that can explain the physical observables in these reactions. Purpose: This work aims to show that the quantal diffusion approach based on the stochastic mean -field (SMF) theory is capable of explaining the reaction dynamics observed in MNT reactions. Primary product mass distributions in 48Ca + 244Pu reaction at Ec.m. = 203.2 MeV and 86Kr + 198Pt reaction at Ec.m. = 324.2 MeV are calculated and compared with the available experimental data. Methods: In this work, we utilize the time -dependent Hartree-Fock (TDHF) calculations to analyze the meanfield reaction dynamics computationally in the reactions 48Ca+244Pu and 86Kr +198Pt for a broad range of initial angular momenta. Quantal transport description based on the SMF approach is used to calculate quantal diffusion coefficients and mass variances in 48Ca + 244Pu and 86Kr + 198Pt systems. The primary products arising from quasifission reactions are described by joint probability distribution in the SMF approach and those arising from fusion -fission are estimated by using the statistical deexcitation code GEMINI++. Results: Mean values of charge and mass numbers, scattering angles of the primary reaction products, and the total kinetic energies after the collision are calculated within the TDHF framework for a broad range of initial angular momenta. Throughout all the collisions, drift toward the mass symmetry and large mass dispersion associated with this drift are observed. The calculated primary fragment and mass distributions using the SMF approach successfully explain experimental observations for the 48Ca + 244Pu and 86Kr + 198Pt systems. Conclusions: The primary mass distributions, mean values of binary products, and mass dispersions are determined and results are compared with the available experimental data. The observed agreement between the experimental data and SMF results highlights the effectiveness of the quantal diffusion mechanism based on the SMF approach, which does not include any adjustable parameters other than standard parameters of Skyrme energy density functional.

Background: Multinucleon transfer (MNT) reactions involving heavy projectile and target combinations stand as a promising method for synthesizing new neutron-rich exotic nuclei, which may not be possible using hot or cold fusion reactions or fragmentation. Exploring the mechanisms behind MNT reactions is essential and it requires a comprehensive theoretical framework that can explain the physical observables in these reactions.Purpose: This work aims to show that the quantal diffusion approach based on the stochastic mean-field (SMF) theory is capable of explaining the reaction dynamics observed in MNT reactions. Primary product mass distributions in $^{48}\mathrm{Ca}+^{244}\mathrm{Pu}$ reaction at ${E}_{\text{c.m.}}=203.2\phantom{\rule{0.222222em}{0ex}}\mathrm{MeV}$ and $^{86}\mathrm{Kr}+^{198}\mathrm{Pt}$ reaction at ${E}_{\text{c.m.}}=324.2\phantom{\rule{0.222222em}{0ex}}\mathrm{MeV}$ are calculated and compared with the available experimental data.Methods: In this work, we utilize the time-dependent Hartree-Fock (TDHF) calculations to analyze the mean-field reaction dynamics computationally in the reactions $^{48}\mathrm{Ca}+^{244}\mathrm{Pu}$ and $^{86}\mathrm{Kr}+^{198}\mathrm{Pt}$ for a broad range of initial angular momenta. Quantal transport description based on the SMF approach is used to calculate quantal diffusion coefficients and mass variances in $^{48}\mathrm{Ca}+^{244}\mathrm{Pu}$ and $^{86}\mathrm{Kr}+^{198}\mathrm{Pt}$ systems. The primary products arising from quasifission reactions are described by joint probability distribution in the SMF approach and those arising from fusion-fission are estimated by using the statistical deexcitation code gemini$++$.Results: Mean values of charge and mass numbers, scattering angles of the primary reaction products, and the total kinetic energies after the collision are calculated within the TDHF framework for a broad range of initial angular momenta. Throughout all the collisions, drift toward the mass symmetry and large mass dispersion associated with this drift are observed. The calculated primary fragment and mass distributions using the SMF approach successfully explain experimental observations for the $^{48}\mathrm{Ca}+^{244}\mathrm{Pu}$ and $^{86}\mathrm{Kr}+^{198}\mathrm{Pt}$ systems.Conclusions: The primary mass distributions, mean values of binary products, and mass dispersions are determined and results are compared with the available experimental data. The observed agreement between the experimental data and SMF results highlights the effectiveness of the quantal diffusion mechanism based on the SMF approach, which does not include any adjustable parameters other than standard parameters of Skyrme energy density functional.

Production cross sections of heavy neutron-rich isotopes are calculated by employing quantal transport description in 250Cf +232Th collisions. This quantal transport description is based on the stochastic mean-field approach, and it provides a microscopic approach beyond time-dependent Hartree-Fock theory to include mean -field fluctuations. Deexcitation of primary fragments is determined by employing the statistical GEMINI++ code. Calculations provide predictions for production cross sections of neutron rich transfermium isotopes without any adjustable parameters.

The multinucleon transfer mechanism in 160Gd + 186W collisions is investigated in the framework of quantal transport description, based on the stochastic mean-field (SMF) theory. The SMF theory provides a microscopic approach for nuclear dynamics beyond the time-dependent Hartree-Fock approach by including mean-field fluctuations. Cross sections for the primary fragment production are determined in the quantal transport description and compared with the available data.

Production cross-sections of heavy neutron-rich isotopes are calculated by employing quantal transport description in ^250Cf+^232Th collisions. This quantal transport description is based on the stochastic mean-field (SMF) approach, and it provides a microscopic approach beyond time-dependent Hartree-Fock (TDHF) theory to include mean-field fluctuations. De-excitation of primary fragments is determined by employing the statistical GEMINI++ code. Calculations provide predictions for production cross-sections of neutron rich transfermium isotopes without any adjustable parameters.

As an extension of previous work, we calculate the production cross section of heavy neutron-rich isotopes by employing the quantal diffusion description to 48Ca+238U collisions. The quantal diffusion is deduced from stochastic mean-field approach, and transport properties are determined in terms of time-dependent single-particle wave functions of the time-dependent Hartree-Fock theory. As a result, the approach allows for prediction of production cross sections without any adjustable parameters. The secondary cross sections by particle emission are calculated with the help of the statistical GEMINI++ code.

Multinucleon transfer mechanism in the collision of U-238 + U-238 system is investigated at E-c.m. = 833 MeV in the framework of the quantal diffusion description based on the stochastic mean-field approach. Double cross sections sigma (N, Z) as a function of the neutron and proton numbers, the cross sections sigma(Z) and sigma(A) as a function of the atomic numbers and the mass numbers are calculated for production of the primary fragments. The calculation indicates the U-238 + U-238 system may be located at an unstable equilibrium state at the potential energy surface with a slightly negative curvature along the beta stability line on the (N, Z) plane. This behavior may lead to rather large diffusion along the beta stability direction.

Multinucleon transfer mechanism in the collision of ^238U+^238U system is investigated at E_c.m. =833 MeV in the framework of the quantal diffusion description based on the stochastic mean-field approach (SMF). Double cross-sections σ(N,Z) as a function of the neutron and proton numbers, the cross-sections σ(Z) and σ(A) as a function of the atomic numbers and the mass numbers are calculated for production of the primary fragments. The calculation indicates the ^238U+^238U system may be located at an unstable equilibrium state at the potential energy surface with a slightly negative curvature along the beta stability line on the (N,Z)-plane. This behavior may lead to rather large diffusion along the beta stability direction.

The yields of quasifission fragments in the $$^{48}\hbox {Ca}+^{208}\hbox {Pb}$$ reaction at $$\hbox {E}_{\mathrm{c.m.}}=190\ \hbox {MeV}$$ are investigated in the framework of the stochastic mean field (SMF) approach based on the Skyrme-TDHF calculations. A method which combines the microscopic time-dependent Hartree–Fock (TDHF) theory with a statistical de-excitation model, GEMINI++, is used for calculating the yields of fusion-fission fragments after de-excitation processes of primary reaction products which is assumed to be dominated by neutron emission in the present system. Results are compared with available experimental data. It is shown that including secondary de-excitation process by particle emission gives a good agreement with the experimental data.

Employing the quantal diffusion mechanism for multinucleon transfer, the double differential cross sections are calculated for production of primary projectile-like and target-like fragments in collisions of $^{136}\mathrm{Xe}+^{208}\mathrm{Pb}$ system at ${E}_{\text{c.m.}}=514$ MeV. Including de-excitation due to neutron emission, the cross section for production of $^{210}\mathrm{Po}, ^{222}\mathrm{Rn}$, and $^{224}\mathrm{Ra}$ isotopes are estimated and compared with data.

We investigate the quasi-fission reactions in the basis on the Stochastic Mean-Filed (SMF) approach that provides a microscopic and quantal description of the multi-nucleon exchange mechanism. In deep-inelastic heavy-ion collisions, colliding ions stick and move together for a long time. During this contact time many nucleons exchange between projectile and target nuclei, and the composite system then separate in two main primary fragments without forming a compound nucleus. Quasi-fission is a non-compound nuclear process in deep-inelastic heavy-ion collisions and the multi-nucleon exchange mechanism in the quasi-fission reactions is important. We calculate the quantal transport coefficients for heavy-ion collisions at bombarding energies below their fusion barriers and determine the primary fragment mass distributions. Quantal calculations are compared with the experimental data.

Employing a quantal diffusion description based on the stochastic mean-field approach, we analyze the mass distribution of the primary fragments in the collisions of the $^{136}\mathrm{Xe}+^{208}\mathrm{Pb}$ system at the bombarding energy ${E}_{\text{c.m.}}=526$ MeV. This quantal approach provides a good description of the primary fragment distribution without any adjustable parameter, including the effects of shell structure.

Employing the quantal diffusion mechanism for multi-nucleon transfer, the double differential cross-sections are calculated for production of primary projectile-like and target-like fragments in collisions of ^136Xe+^208Pb system at E_c.m. =514 MeV. Including de-excitation due to neutron emission, the cross-section for production of ^210Po, ^222Rn and ^224Ra isotopes are estimated and compared with data.

Employing the quantal diffusion mechanism for multinucleon transfer, the double differential cross sections are calculated for production of primary projectile-like and target-like fragments in collisions of Xe-136 + Pb-208 system at E-c.m. = 514 MeV. Including de-excitation due to neutron emission, the cross section for production of Po-210, Rn-222, and Ra-224 isotopes are estimated and compared with data.

The multinucleon exchange mechanism in 58 Ni + 60 Ni and 60 Ni + 60 Ni collisions is analyzed in the framework of the stochastic mean-field approach. The results of calculations are compared with the time-dependent random-phase approximation (TDRPA) calculations and the recent data of 58 Ni + 60 Ni. A good description of the data and a relatively good agreement with the TDRPA calculations are found.

The multinucleon exchange mechanism in $^{58}\mathrm{Ni}+^{60}\mathrm{Ni}$ and $^{60}\mathrm{Ni}+^{60}\mathrm{Ni}$ collisions is analyzed in the framework of the stochastic mean-field approach. The results of calculations are compared with the time-dependent random-phase approximation (TDRPA) calculations and the recent data of $^{58}\mathrm{Ni}+^{60}\mathrm{Ni}$. A good description of the data and a relatively good agreement with the TDRPA calculations are found.