Description of the multinucleon transfer mechanism for Ca48+Pu244 and Kr86+Pt198 reactions in a quantal transport approach

Arik, M.; Ayik, S.; Yilmaz, O.; Umar, A. S.

doi:10.1103/physrevc.108.064604

This content will become publicly available on Thu Dec 12 00:00:00 EST 2024

Title: Description of the multinucleon transfer mechanism for Ca 48 + Pu 244 and Kr 86 + Pt 198 reactions in a quantal transport approach

Abstract

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. 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. In this work, we utilize the time-dependent Hartree-Fock (TDHF) calculations to analyze the mean-field 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 thosemore »« less

Authors:

^[1];

^[2];

^[1];

^[3]

Middle East Technical University, Ankara (Turkey)
Tennessee Technological University, Cookeville, TN (United States)
Vanderbilt University, Nashville, TN (United States)

Publication Date:: Tue Dec 12 00:00:00 EST 2023

Research Org.:: Vanderbilt Univ., Nashville, TN (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 2229627

Grant/Contract Number:: SC0013847; SC0015513

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review. C

Additional Journal Information:: Journal Volume: 108; Journal Issue: 6; Journal ID: ISSN 2469-9985

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; TDHF; SMF; Quasifission; Models & methods for nuclear reactions; Nuclear reactions; Transfer reactions

Citation Formats


                    Arik, M., Ayik, S., Yilmaz, O., and Umar, A. S. Description of the multinucleon transfer mechanism for Ca48+Pu244 and Kr86+Pt198 reactions in a quantal transport approach.  United States: N. p., 2023. 
Web.  doi:10.1103/physrevc.108.064604.

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                    Arik, M., Ayik, S., Yilmaz, O., & Umar, A. S. Description of the multinucleon transfer mechanism for Ca48+Pu244 and Kr86+Pt198 reactions in a quantal transport approach.  United States.  https://doi.org/10.1103/physrevc.108.064604

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                    Arik, M., Ayik, S., Yilmaz, O., and Umar, A. S. Tue .  
"Description of the multinucleon transfer mechanism for Ca48+Pu244 and Kr86+Pt198 reactions in a quantal transport approach".  United States.  https://doi.org/10.1103/physrevc.108.064604.

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@article{osti_2229627,

  title        = {Description of the multinucleon transfer mechanism for Ca48+Pu244 and Kr86+Pt198 reactions in a quantal transport approach},

  author       = {Arik, M. and Ayik, S. and Yilmaz, O. and Umar, A. S.},

  abstractNote = {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. 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. In this work, we utilize the time-dependent Hartree-Fock (TDHF) calculations to analyze the mean-field 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 + +. 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. Here, the calculated primary fragment and mass distributions using the SMF approach successfully explain experimental observations for the 48Ca + 244Pu and 86Kr + 198Pt systems. 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.},

  doi          = {10.1103/physrevc.108.064604},

  journal      = {Physical Review. C},

  number       = 6,

  volume       = 108,

  place        = {United States},

  year         = {Tue Dec 12 00:00:00 EST 2023},

  month        = {Tue Dec 12 00:00:00 EST 2023}

}

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The total cross section of the ⁸²Kr(p,γ)⁸³Rb reaction was measured for the first time at effective center-of-mass energies between 2.4 and 3.0 MeV, within the relevant Gamow window for the astrophysical γ process. The experiment took place at the National Superconducting Cyclotron Laboratory at Michigan State University using the ReA facility. A ⁸²Kr beam was directed onto a hydrogen gas cell located at the center of the Summing NaI(Tl) (SuN) detector. Here, the obtained spectra were analyzed using the γ-summing technique and the extracted cross section was compared to standard statistical model calculations using the non-smoker and talys codes. Themore »« less
https://doi.org/10.1103/physrevc.107.035808

Full Text Available
Experimental study of the Si 30 ( He 3 , d ) P 31 reaction and thermonuclear reaction rate of Si 30 ( p , γ ) P 31

Journal Article Harrouz, D. S. ; de Séréville, Nicolas ; Adsley, P. ; ... - Physical Review. C

Background: Abundance anomalies in some globular clusters, such as the enhancement of potassium and the depletion of magnesium, can be explained in terms of an earlier generation of stars polluting the presently observed ones. It was shown that the potential range of temperatures and densities of the polluting sites depends on the strength of a few critical reaction rates. The ³⁰Si(p,γ)³¹P reaction has been identified as one of these important reactions. Purpose: The key ingredient for evaluating the thermonuclear ³⁰Si(p,γ)³¹P reaction rate is the strength of the resonances which, at low energy, are proportional to their proton width. Therefore, the goal of this work is to determine the proton widths of unbound ³¹P states. Method: States in ³¹P were studied at the Maier-Leibnitz-Laboratorium using the one-proton ³⁰Si(³He,d)³¹P transfer reaction. Deuterons were detected with the high resolution one quadrupole three dipoles (Q3D) magnetic spectrometer. Angular distribution and spectroscopic factors were extracted for 27 states, and proton widths and resonance strengths were calculated for the unbound states. Results: Several ³¹P unbound states have been observed for the first time in a one-proton transfer reaction. Above 20 MK, the ³⁰Si(p,γ)³¹P reaction rate is now entirely estimated from the observed properties of ³¹P states. The reaction rate uncertainty from all resonances other than the Emore »« less
https://doi.org/10.1103/physrevc.105.015805

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Title: Description of the multinucleon transfer mechanism for Ca 48 + Pu 244 and Kr 86 + Pt 198 reactions in a quantal transport approach

Abstract

Citation Formats

Synthesis of the isotopes of elements 118 and 116 in the Cf 249 and Cm 245 + Ca 48 fusion reactions journal, October 2006

Experimental investigation of cross sections for the production of heavy and superheavy nuclei journal, September 2022

The discovery of the heaviest elements journal, July 2000

Mass distributions of the system 136 Xe + 208 Pb at laboratory energies around the Coulomb barrier: A candidate reaction for the production of neutron-rich nuclei at N = 126 journal, October 2012

Shell effects in damped collisions of Sr 88 with Yb 176 at the Coulomb barrier energy journal, January 2014

Reexamining the heavy-ion reactions 238 U+ 238 U and 238 U+ 248 Cm and actinide production close to the barrier journal, November 2013

Pathway for the Production of Neutron-Rich Isotopes around the N = 126 Shell Closure journal, October 2015

Observation of new neutron-deficient isotopes with Z ≥ 92 in multinucleon transfer reactions journal, September 2015

The Xe 136 + Pt 198 reaction: A test of models of multi-nucleon transfer reactions journal, April 2019

Spectroscopy of the neutron-rich actinide nucleus U 240 following multinucleon-transfer reactions journal, October 2015

Light and heavy transfer products in Xe 136 + U 238 multinucleon transfer reactions journal, August 2015

Mass correlation between light and heavy reaction products in multinucleon transfer Au 197 + Te 130 collisions journal, May 2018

Production of neutron deficient isotopes in the multinucleon transfer reaction Ca48(Elab=5.63MeV/nucleon)+Cm248 journal, August 2020

Production mechanism of the neutron-rich nuclei in multinucleon transfer reactions: A reaction time scale analysis in energy dissipation process journal, October 2020

Self-consistent methods for structure and production of heavy and superheavy nuclei journal, March 2021

Nucleosynthesis in multinucleon transfer reactions journal, June 2022

Production of proton-rich nuclei in the vicinity of 100Sn via multinucleon transfer reactions journal, February 2022

Influence of entrance-channel magicity and isospin on quasi-fission journal, April 2012

Conclusive evidence for the influence of nuclear orientation on quasifission journal, March 1996

Quasifission processes in Ca 40 , 48 + Sm 144 , 154 reactions journal, June 2007

Effects of nuclear orientation on the mass distribution of fission fragments in the reaction of S 36 + U 238 journal, June 2008

Anomalous increase in width of fission-fragment mass distribution as a probe for onset of quasifission reactions in deformed target-projectile system at near and sub-barrier energies journal, July 2004

Interplay between Quantum Shells and Orientation in Quasifission journal, October 2014

Entrance-channel effects in quasifission reactions journal, April 1996

Severe Inhibition of Fusion by Quasifission in Reactions Forming T 220 h journal, December 2002

Strong evidence for quasifission in asymmetric reactions forming Po 202 journal, February 2008

Fission and quasifission of the composite system Z = 114 formed in heavy-ion reactions at energies near the Coulomb barrier journal, January 2019

Fission and quasifission modes in heavy-ion-induced reactions leading to the formation of Hs * journal, June 2011

Inverse quasifission in the reactions Gd 156 , 160 + W 186 journal, December 2017

Fusion and quasifission dynamics in the reactions Ca 48 + Bk 249 and Ti 50 + Bk 249 using a time-dependent Hartree-Fock approach journal, August 2016

Reduced quasifission competition in fusion reactions forming neutron-rich heavy elements journal, April 2015

Time-dependent density-functional description of nuclear dynamics journal, November 2016

Dissipative dynamics in quasifission journal, November 2014

Shape evolution and collective dynamics of quasifission in the time-dependent Hartree-Fock approach journal, August 2015

Time-dependent Hartree-Fock calculations for multinucleon transfer and quasifission processes in the Ni 64 + U 238 reaction journal, May 2016

Microscopic description of production cross sections including deexcitation effects journal, July 2017

Particle Transfer Reactions with the Time-Dependent Hartree-Fock Theory Using a Particle Number Projection Technique journal, November 2010

Timescales of Quantum Equilibration, Dissipation and Fluctuation in Nuclear Collisions journal, May 2020

Nuclear quantum many-body dynamics: From collective vibrations to heavy-ion collisions journal, November 2012

Heavy-ion collisions and fission dynamics with the time-dependent Hartree–Fock theory and its extensions journal, November 2018

TDHF Theory and Its Extensions for the Multinucleon Transfer Reaction: A Mini Review journal, March 2019

Low-energy heavy-ion reactions and the Skyrme effective interaction journal, January 2019

Quadrupole resonances in unstable oxygen isotopes in time-dependent density-matrix formalism journal, November 2002

Applications of Time-Dependent Density-Matrix Approach journal, March 2020

Particle-Number Fluctuations and Correlations in Transfer Reactions Obtained Using the Balian-Vénéroni Variational Principle journal, March 2011

A stochastic mean-field approach for nuclear dynamics journal, January 2008

Stochastic quantum dynamics beyond mean field journal, June 2014

Time-dependent variational principle for the expectation value of an observable: Mean-field applications journal, October 1985

Correlations and fluctuations in static and dynamic mean-field approaches journal, June 1992

Exploring Zeptosecond Quantum Equilibration Dynamics: From Deep-Inelastic to Fusion-Fission Outcomes in Ni 58 + Ni 60 Reactions journal, January 2018

Quasifission Dynamics in Microscopic Theories journal, February 2020

Microscopic predictions for the production of neutron-rich nuclei in the reaction Yb 176 + Yb 176 journal, March 2020

Quasifission in Kr84,86 -induced reactions populating superheavy elements journal, January 2022

Fusion-fission and quasifission of superheavy systems with Z = 110 – 116 formed in Ca 48 -induced reactions journal, November 2014

Nuclear Hartree-Fock calculations with splines journal, December 1991

Three-dimensional unrestricted time-dependent Hartree-Fock fusion calculations using the full Skyrme interaction journal, May 2006

Three-dimensional TDHF calculations for reactions of unstable nuclei journal, October 1997

Fission and quasifission in U-induced reactions journal, July 1987

Microscopic transport theory of heavy-ion collisions: V. transfer of neutrons and protons journal, December 1982

Quantal diffusion approach for multinucleon transfer processes in the Ni 58 , 64 + Pb 208 reactions: Toward the production of unknown neutron-rich nuclei journal, July 2020

Multinucleon transfer mechanism inCf250+Th232collisions using the quantal transport description based on the stochastic mean-field approach journal, January 2023

Quantal diffusion description of isotope production via the multinucleon transfer mechanism in Ca48+U238 collisions journal, November 2021

Merging of transport theory with the time-dependent Hartree-Fock approach: Multinucleon transfer in U + U collisions journal, August 2020

Quantal diffusion approach for multinucleon transfers in Xe + Pb collisions journal, July 2019

Heavy-isotope production in Xe 136 + Pb 208 collisions at E c . m . = 514 MeV journal, October 2019

Multinucleon transfer in Ni 58 + Ni 60 and Ni 60 + Ni 60 in a stochastic mean-field approach journal, September 2018

Quasi-fission and fusion-fission reactions in $$^{48}\hbox {Ca}+^{208}\hbox {Pb}$$48Ca+208Pb collisions at $$\hbox {E}_{\mathrm{c.m.}}=190\ \hbox {MeV}$$Ec.m.=190MeV journal, February 2020

Multinucleon transfer in central collisions of U 238 + U 238 journal, August 2017

Quantal diffusion description of multinucleon transfers in heavy-ion collisions journal, May 2018

Correlated mass and charge transport induced by statistical nucleon exchange in damped nuclear reactions journal, January 1981

Quantum Dissipative Systems book, October 1999

The Fokker-Planck Equation book, January 1996

Synthesis of the isotopes of elements 118 and 116 in the ${}^{249}{Cf}$ and ${}^{245}{Cm} + {}^{48}{Ca}$ fusion reactions
journal, October 2006

Experimental investigation of cross sections for the production of heavy and superheavy nuclei
journal, September 2022

The discovery of the heaviest elements
journal, July 2000

Mass distributions of the system $^{136} Xe +^{208}$ Pb at laboratory energies around the Coulomb barrier: A candidate reaction for the production of neutron-rich nuclei at $N = 126$
journal, October 2012

Shell effects in damped collisions of ${}^{88}{Sr}$ with ${}^{176}{Yb}$ at the Coulomb barrier energy
journal, January 2014

Reexamining the heavy-ion reactions $^{238}$ U+ $^{238}$ U and $^{238}$ U+ $^{248}$ Cm and actinide production close to the barrier
journal, November 2013

Pathway for the Production of Neutron-Rich Isotopes around the $N = 126$ Shell Closure
journal, October 2015

Observation of new neutron-deficient isotopes with $Z \geq 92$ in multinucleon transfer reactions
journal, September 2015

The ${}^{136}{Xe} + {}^{198}{Pt}$ reaction: A test of models of multi-nucleon transfer reactions
journal, April 2019

Spectroscopy of the neutron-rich actinide nucleus ${}^{240}U$ following multinucleon-transfer reactions
journal, October 2015

Light and heavy transfer products in ${}^{136}{Xe} + {}^{238}U$ multinucleon transfer reactions
journal, August 2015

Mass correlation between light and heavy reaction products in multinucleon transfer ${}^{197}{Au} + {}^{130}{Te}$ collisions
journal, May 2018

Production of neutron deficient isotopes in the multinucleon transfer reaction Ca48(Elab=5.63MeV/nucleon)+Cm248
journal, August 2020

Production mechanism of the neutron-rich nuclei in multinucleon transfer reactions: A reaction time scale analysis in energy dissipation process
journal, October 2020

Self-consistent methods for structure and production of heavy and superheavy nuclei
journal, March 2021

Nucleosynthesis in multinucleon transfer reactions
journal, June 2022

Production of proton-rich nuclei in the vicinity of 100Sn via multinucleon transfer reactions
journal, February 2022

Influence of entrance-channel magicity and isospin on quasi-fission
journal, April 2012

Conclusive evidence for the influence of nuclear orientation on quasifission
journal, March 1996

Quasifission processes in ${}^{40, 48}{Ca} + {}^{144, 154}{Sm}$ reactions
journal, June 2007

Effects of nuclear orientation on the mass distribution of fission fragments in the reaction of ${}^{36}S + {}^{238}U$
journal, June 2008

Anomalous increase in width of fission-fragment mass distribution as a probe for onset of quasifission reactions in deformed target-projectile system at near and sub-barrier energies
journal, July 2004

Interplay between Quantum Shells and Orientation in Quasifission
journal, October 2014

Entrance-channel effects in quasifission reactions
journal, April 1996

Severe Inhibition of Fusion by Quasifission in Reactions Forming ${}^{220}T h$
journal, December 2002

Strong evidence for quasifission in asymmetric reactions forming ${}^{202}{Po}$
journal, February 2008

Fission and quasifission of the composite system $Z = 114$ formed in heavy-ion reactions at energies near the Coulomb barrier
journal, January 2019

Fission and quasifission modes in heavy-ion-induced reactions leading to the formation of Hs $^{*}$
journal, June 2011

Inverse quasifission in the reactions ${}^{156, 160}{Gd} + {}^{186}W$
journal, December 2017

Fusion and quasifission dynamics in the reactions ${}^{48}{Ca} + {}^{249}{Bk}$ and ${}^{50}{Ti} + {}^{249}{Bk}$ using a time-dependent Hartree-Fock approach
journal, August 2016

Reduced quasifission competition in fusion reactions forming neutron-rich heavy elements
journal, April 2015

Time-dependent density-functional description of nuclear dynamics
journal, November 2016

Dissipative dynamics in quasifission
journal, November 2014

Shape evolution and collective dynamics of quasifission in the time-dependent Hartree-Fock approach
journal, August 2015

Time-dependent Hartree-Fock calculations for multinucleon transfer and quasifission processes in the ${}^{64}{Ni} + {}^{238}U$ reaction
journal, May 2016

Microscopic description of production cross sections including deexcitation effects
journal, July 2017

Particle Transfer Reactions with the Time-Dependent Hartree-Fock Theory Using a Particle Number Projection Technique
journal, November 2010

Timescales of Quantum Equilibration, Dissipation and Fluctuation in Nuclear Collisions
journal, May 2020

Nuclear quantum many-body dynamics: From collective vibrations to heavy-ion collisions
journal, November 2012

Heavy-ion collisions and fission dynamics with the time-dependent Hartree–Fock theory and its extensions
journal, November 2018

TDHF Theory and Its Extensions for the Multinucleon Transfer Reaction: A Mini Review
journal, March 2019

Low-energy heavy-ion reactions and the Skyrme effective interaction
journal, January 2019

Quadrupole resonances in unstable oxygen isotopes in time-dependent density-matrix formalism
journal, November 2002

Applications of Time-Dependent Density-Matrix Approach
journal, March 2020

Particle-Number Fluctuations and Correlations in Transfer Reactions Obtained Using the Balian-Vénéroni Variational Principle
journal, March 2011

A stochastic mean-field approach for nuclear dynamics
journal, January 2008

Stochastic quantum dynamics beyond mean field
journal, June 2014

Time-dependent variational principle for the expectation value of an observable: Mean-field applications
journal, October 1985

Correlations and fluctuations in static and dynamic mean-field approaches
journal, June 1992

Exploring Zeptosecond Quantum Equilibration Dynamics: From Deep-Inelastic to Fusion-Fission Outcomes in ${}^{58}{Ni} + {}^{60}{Ni}$ Reactions
journal, January 2018

Quasifission Dynamics in Microscopic Theories
journal, February 2020

Microscopic predictions for the production of neutron-rich nuclei in the reaction ${}^{176}{Yb}$ $+$ ${}^{176}{Yb}$
journal, March 2020

Quasifission in Kr84,86 -induced reactions populating superheavy elements
journal, January 2022

Fusion-fission and quasifission of superheavy systems with $Z = 110 - 116$ formed in ${}^{48}{Ca}$ -induced reactions
journal, November 2014

Nuclear Hartree-Fock calculations with splines
journal, December 1991

Three-dimensional unrestricted time-dependent Hartree-Fock fusion calculations using the full Skyrme interaction
journal, May 2006

Three-dimensional TDHF calculations for reactions of unstable nuclei
journal, October 1997

Fission and quasifission in U-induced reactions
journal, July 1987

Microscopic transport theory of heavy-ion collisions: V. transfer of neutrons and protons
journal, December 1982

Quantal diffusion approach for multinucleon transfer processes in the ${}^{58, 64}{Ni} + {}^{208}{Pb}$ reactions: Toward the production of unknown neutron-rich nuclei
journal, July 2020

Multinucleon transfer mechanism inCf250+Th232collisions using the quantal transport description based on the stochastic mean-field approach
journal, January 2023

Quantal diffusion description of isotope production via the multinucleon transfer mechanism in Ca48+U238 collisions
journal, November 2021

Merging of transport theory with the time-dependent Hartree-Fock approach: Multinucleon transfer in $U + U$ collisions
journal, August 2020

Quantal diffusion approach for multinucleon transfers in Xe + Pb collisions
journal, July 2019

Heavy-isotope production in ${}^{136}{Xe} + {}^{208}{Pb}$ collisions at $E_{c . m .} = 514$ MeV
journal, October 2019

Multinucleon transfer in ${}^{58}{Ni} + {}^{60}{Ni}$ and ${}^{60}{Ni} + {}^{60}{Ni}$ in a stochastic mean-field approach
journal, September 2018

Quasi-fission and fusion-fission reactions in $$^{48}\hbox {Ca}+^{208}\hbox {Pb}$$48Ca+208Pb collisions at $$\hbox {E}_{\mathrm{c.m.}}=190\ \hbox {MeV}$$Ec.m.=190MeV
journal, February 2020

Multinucleon transfer in central collisions of ${}^{238}U + {}^{238}U$
journal, August 2017

Quantal diffusion description of multinucleon transfers in heavy-ion collisions
journal, May 2018

Correlated mass and charge transport induced by statistical nucleon exchange in damped nuclear reactions
journal, January 1981

Quantum Dissipative Systems
book, October 1999

The Fokker-Planck Equation
book, January 1996