TDHF Theory and Its Extensions for the Multinucleon Transfer Reaction: a Mini Review

Production of proton-rich nuclei in the vicinity of 100Sn via multinucleon transfer reactions

The production of new proton-rich nuclei in the vicinity of 100Sn is investigated via multinucleon transfer reactions within the framework of microscopic time-dependent Hartree-Fock (TDHF) and statistical model GEMINI++. The TDHF+GEMINI method has demonstrated the reliable description in the multinucleon transfer dynamics and the agreement between theoretical results and experimental data is quite satisfactory in the observed transfer reactions. We reveal the production cross sections of proton-rich nuclei in 100Sn region via multinucleon transfer reactions to be several orders of magnitude hi…

Deep-inelastic multinucleon transfer processes in the $^{16}$O+$^{27}$Al reaction

The reaction mechanism of deep-inelastic multinucleon transfer processes in the $^{16}$O+$^{27}$Al reaction at an incident $^{16}$O energy ($E_{\rm lab}=134$ MeV) substantially above the Coulomb barrier has been studied both experimentally and theoretically. Elastic-scattering angular distribution, total kinetic energy loss spectra and angular distributions for various transfer channels have been measured. The $Q$-value- and angle-integrated isotope production cross sections have been deduced. To obtain deeper insight into the underlying reaction mechanism, we have carried out a detailed analy…

Particle-number projection method in time-dependent Hartree-Fock theory: Properties of reaction products

Background: The time-dependent Hartree-Fock (TDHF) theory has been successful in describing low-energy heavy ion collisions. Recently, we have shown that multinucleon transfer processes can be reasonably described in the TDHF theory combined with the particle-number projection technique. Purpose: In this work, we propose a theoretical framework to analyze properties of reaction products in TDHF calculations. Methods: TDHF calculation in three-dimensional Cartesian grid representation combined with particle number projection method. Results: We develop a theoretical framework to calculate expec…

Time-dependent Hartree-Fock calculations for multinucleon transfer processes in $^{40,48}$Ca+$^{124}$Sn, $^{40}$Ca+$^{208}$Pb, and $^{58}$Ni+$^{208}$Pb reactions

Multinucleon transfer processes in heavy-ion reactions at energies slightly above the Coulomb barrier are investigated in a fully microscopic framework of the time-dependent Hartree-Fock (TDHF) theory. Transfer probabilities are calculated from the TDHF wave function after collision using the projection operator method which has recently been proposed by Simenel (C. Simenel, Phys. Rev. Lett. 105, 192701 (2010)). We show results of the TDHF calculations for transfer cross sections of the reactions of $^{40,48}$Ca+$^{124}$Sn at $E_{lab}=$ 170, 174 MeV, $^{40}$Ca+$^{208}$Pb at $E_{lab}=$ 235, 249…

多核子转移反应中自旋分布的微观描述

Microscopic description of spin distributions in multinucleon tranfer reactions

本文通过三维TDHF计算结合粒子数与角动量投影，首次微观描述了多核子转移反应产物的自旋分布，发现其可由单粒子态角动量组合解释，并随转移核子数增加趋于热平衡分布。

Quantal diffusion approach for multinucleon transfer processes in the $^{58,64}$Ni+$^{208}$Pb reactions: Toward the production of unknown neutron-rich nuclei

Background: In recent years, substantial efforts have been made for the study of multinucleon transfer reactions at energies around the Coulomb barrier both experimentally and theoretically, aiming at the production of unknown neutron-rich heavy nuclei. It is crucial to provide reliable theoretical predictions based on microscopic theories with sufficient predictive power. Purpose: This paper aims to clarify the applicability of the quantal diffusion approach based on the stochastic mean-field (SMF) theory for multinucleon transfer processes. Isotope production cross sections are evaluated for…

Multinucleon transfer mechanism in ${}^{250}\text{Cf}+{}^{232}\text{Th}$

Production cross-sections of heavy neutron-rich isotopes are calculated by employing quantal transport description in ${}^{250}\text{Cf}+{}^{232}\text{Th}$ 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 pa…

在随机平均场理论中研究 ${}^{160}\mathrm{Gd}+{}^{186}\mathrm{W}$ 碰撞的多核子转移机制

Study of multinucleon transfer mechanism in ${}^{160}\mathrm{Gd}+{}^{186}\mathrm{W}$ collisions in stochastic mean-field theory}

本文基于随机平均场理论，研究了${}^{160}\mathrm{Gd}+{}^{186}\mathrm{W}$碰撞的多核子转移机制，通过包含平均场涨落超越TDHF方法，计算了初级碎片产生截面并与实验数据进行了比较。

Strong Orientation Dependence of Multinucleon Transfer Processes in $^{238}$U+$^{124}$Sn Reaction

We theoretically investigate multinucleon transfer (MNT) processes in $^{238}$U+$^{124}$Sn reaction at $E_\mathrm{lab}=5.7$ MeV/$A$ using the time-dependent Hartree-Fock (TDHF) theory. For this reaction, measurements of MNT processes have been reported, showing substantial MNT cross sections accompanying more than ten protons. From the calculation, we find that the amount of transferred nucleons depends much on the relative orientation between the deformation axis of $^{238}$U and the relative vector connecting centers of $^{238}$U and $^{124}$Sn nuclei. We find a formation of thick neck when …

Quantal diffusion description of isotope production by multinucleon transfer mechanism in ${}^{48}\text{Ca}+{}^{238}\text{U}$ collisions

As an extension of previous work, we calculate the production cross-section of heavy neutron-rich isotopes by employing the quantal diffusion description to ${}^{48} \text{Ca} + {}^{238} \text{U}$ 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 (TDHF) 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 calcula…

Microscopic predictions for production of neutron rich nuclei in the reaction $^\mathbf{176}\mathbf{Yb}+{}^\mathbf{176}\mathbf{Yb}$

Background: Production of neutron-rich nuclei is of vital importance to both understanding nuclear structure far from stability and to informing astrophysical models of the rapid neutron capture process (r-process). Multinucleon transfer (MNT) in heavy-ion collisions offers a possibility to produce neutron-rich nuclei far from stability. Purpose: The $^{176}\mathrm{Yb}+{}^{176}\mathrm{Yb}$ reaction has been suggested as a potential candidate to explore the neutron-rich region surrounding the principal fragments. The current study has been conducted with the goal of providing guidance for futur…

Quasielastic and multinucleon excitations in antineutrino-nucleus interactions

We investigate the MiniBooNE recent data on the antineutrino nucleus interaction, using the same theoretical description with the same parameters as in previous works on neutrino interactions. The double differential quasielastic cross section, which is free from the energy reconstruction problem, is well reproduced by our model once the multinucleon excitations are incorporated. A similar agreement is achieved for the Q^2 distribution.

Neutrino quasielastic interaction and nuclear dynamics

We investigate the double differential neutrino-carbon quasielastic cross sections as measured by the MiniBooNE experiment. Our present treatment incorporates relativistic corrections in the nuclear response functions and includes the multinucleon component. We confirm our previous conclusion that it is possible to account for all the data without any modification of the axial mass. We also introduce the Q^2 distribution for charged and neutral current. The data point at a sizable multinucleon component beside the genuine quasielastic peak. They are also indicative of the collective character …

Two particle-two hole excitations in charged current quasielastic neutrino-nucleus interactions

We review the theoretical status of the models including the multinucleon emission channel in the calculation of quasielastic neutrino cross sections at MiniBooNE kinematics.

Time-Dependent Hartree-Fock simulation of the expansion of abraded nuclei

A recent interpretation of the caloric curve based on the expansion of the abraded spectator nucleus is re-analysed in the framework of the Time-Dependent Hartree-Fock (TDHF) evolution. It is shown that the TDHF dynamics is more complex than a single monopolar collective motion at moderate energy. The inclusion of other important collective degrees of freedom may lead to the dynamical creation of hollow structure. Then, low density regions could be locally reached after a long time by the creation of these exotic density profiles. In particular the systematic of the minimum density reached dur…

Nuclear fission with mean-field instantons

We present a description of nuclear spontaneous fission, and generally of quantum tunneling, in terms of instantons - periodic imaginary-time solutions to time-dependent mean-field equations - that allows for a comparison with more familiar and used generator coordinate (GCM) and adiabatic time-dependent Hartree-Fock (ATDHF) methods. It is shown that the action functional whose value for the instanton is the quasiclassical estimate of the decay exponent fulfils the minimum principle when additional constraints are imposed on trial fission paths. In analogy with mechanics, these are conditions …