Extended optical model for fission

Sin, M.; Capote, R.; Herman, M. W.; Trkov, A.

doi:10.1103/PhysRevC.93.034605

Title: Extended optical model for fission

Abstract

A comprehensive formalism to calculate fission cross sections based on the extension of the optical model for fission is presented. It can be used for description of nuclear reactions on actinides featuring multi-humped fission barriers with partial absorption in the wells and direct transmission through discrete and continuum fission channels. The formalism describes the gross fluctuations observed in the fission probability due to vibrational resonances, and can be easily implemented in existing statistical reaction model codes. The extended optical model for fission is applied for neutron induced fission cross-section calculations on ^234,235,238U and ²³⁹Pu targets. A triple-humped fission barrier is used for ^234,235U(n,f), while a double-humped fission barrier is used for ²³⁸U(n,f) and ²³⁹Pu(n,f) reactions as predicted by theoretical barrier calculations. The impact of partial damping of class-II/III states, and of direct transmission through discrete and continuum fission channels, is shown to be critical for a proper description of the measured fission cross sections for ^234,235,238U(n,f) reactions. The ²³⁹Pu(n,f) reaction can be calculated in the complete damping approximation. Calculated cross sections for ^235,238U(n,f) and ²³⁹Pu(n,f) reactions agree within 3% with the corresponding cross sections derived within the Neutron Standards least-squares fit of available experimental data. Lastly, the extended optical modelmore »« less

Authors:

Sin, M. ^[1]; Capote, R. ^[2]; Herman, M. W. ^[3]; Trkov, A. ^[2]

Univ. of Bucharest, Bucharest-Magurele (Romania)
International Atomic Energy Agency, Vienna (Austria)
Brookhaven National Lab. (BNL), Upton, NY (United States)

Publication Date:: Mon Mar 07 00:00:00 EST 2016

Research Org.:: Brookhaven National Lab. (BNL), Upton, NY (United States)

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

OSTI Identifier:: 1245393

Report Number(s):: BNL-111952-2016-JA
Journal ID: ISSN 2469-9985; PRVCAN; R&D Project: EST-003-NEFA; KB0301041

Grant/Contract Number:: SC00112704

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C

Additional Journal Information:: Journal Volume: 93; Journal Issue: 3; Journal ID: ISSN 2469-9985

Publisher:: APS

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats


                    Sin, M., Capote, R., Herman, M. W., and Trkov, A. Extended optical model for fission.  United States: N. p., 2016. 
Web.  doi:10.1103/PhysRevC.93.034605.

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                    Sin, M., Capote, R., Herman, M. W., & Trkov, A. Extended optical model for fission.  United States.  https://doi.org/10.1103/PhysRevC.93.034605

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                    Sin, M., Capote, R., Herman, M. W., and Trkov, A. Mon .  
"Extended optical model for fission".  United States.  https://doi.org/10.1103/PhysRevC.93.034605.  https://www.osti.gov/servlets/purl/1245393.

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@article{osti_1245393,

  title        = {Extended optical model for fission},

  author       = {Sin, M. and Capote, R. and Herman, M. W. and Trkov, A.},

  abstractNote = {A comprehensive formalism to calculate fission cross sections based on the extension of the optical model for fission is presented. It can be used for description of nuclear reactions on actinides featuring multi-humped fission barriers with partial absorption in the wells and direct transmission through discrete and continuum fission channels. The formalism describes the gross fluctuations observed in the fission probability due to vibrational resonances, and can be easily implemented in existing statistical reaction model codes. The extended optical model for fission is applied for neutron induced fission cross-section calculations on 234,235,238U and 239Pu targets. A triple-humped fission barrier is used for 234,235U(n,f), while a double-humped fission barrier is used for 238U(n,f) and 239Pu(n,f) reactions as predicted by theoretical barrier calculations. The impact of partial damping of class-II/III states, and of direct transmission through discrete and continuum fission channels, is shown to be critical for a proper description of the measured fission cross sections for 234,235,238U(n,f) reactions. The 239Pu(n,f) reaction can be calculated in the complete damping approximation. Calculated cross sections for 235,238U(n,f) and 239Pu(n,f) reactions agree within 3% with the corresponding cross sections derived within the Neutron Standards least-squares fit of available experimental data. Lastly, the extended optical model for fission can be used for both theoretical fission studies and nuclear data evaluation.},

  doi          = {10.1103/PhysRevC.93.034605},

  journal      = {Physical Review C},

  number       = 3,

  volume       = 93,

  place        = {United States},

  year         = {Mon Mar 07 00:00:00 EST 2016},

  month        = {Mon Mar 07 00:00:00 EST 2016}

}

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Works referenced in this record:

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Works referencing / citing this record:

Inter-comparison of Hauser-Feshbach model codes toward better actinide evaluations
journal, January 2017

Capote, Roberto; Hilaire, Stéphane; Iwamoto, Osamu
EPJ Web of Conferences, Vol. 146
DOI: 10.1051/epjconf/201714612034

Novel applications of the dispersive optical model
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Dickhoff, W. H.; Charity, R. J.; Mahzoon, M. H.
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Review on the progress in nuclear fission—experimental methods and theoretical descriptions
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Schmidt, Karl-Heinz; Jurado, Beatriz
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DOI: 10.1088/1361-6633/aacfa7

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Title: Extended optical model for fission

Abstract

Citation Formats

The CIELO Collaboration: Neutron Reactions on 1H, 16O, 56Fe, 235,238U, and 239Pu journal, April 2014

Towards a More Complete and Accurate Experimental Nuclear Reaction Data Library (EXFOR): International Collaboration Between Nuclear Reaction Data Centres (NRDC) journal, June 2014

International Evaluation of Neutron Cross Section Standards journal, December 2009

Physics of Neutron Interactions with 238U: New Developments and Challenges journal, April 2014

Elastic and inelastic scattering of neutrons on 238 U nucleus journal, January 2014

�ber den Nachweis und das Verhalten der bei der Bestrahlung des Urans mittels Neutronen entstehenden Erdalkalimetalle journal, January 1939

Disintegration of Uranium by Neutrons: a New Type of Nuclear Reaction journal, February 1939

Towards a prediction of fission cross sections on the basis of microscopic nuclear inputs journal, February 2009

The double-humped fission barrier journal, October 1980

R -matrix analysis and prediction of low-energy neutron-induced fission cross sections for a range of Pu isotopes journal, November 2013

Shell effects in nuclear masses and deformation energies journal, April 1967

“Shells” in deformed nuclei journal, December 1968

Short-Range Intermediate Structure Observed in the Np 237 Neutron Subthreshold Fission Cross Section journal, June 1968

Resonance grouping structure in neutron induced subthreshold fission of 240Pu journal, May 1968

Damping effects in the transmission through the double-humped fission barrier journal, January 1970

Sub-barrier fission probability for a double-humped barrier journal, February 1974

Fission of U, Np, Pu and Am isotopes excited in the (d, p) reaction journal, April 1971

Fission of doubly even actinide nuclei induced by direct reactions journal, May 1974

Fission of odd- A and doubly odd actinide nuclei induced by direct reactions journal, November 1974

EMPIRE: Nuclear Reaction Model Code System for Data Evaluation journal, December 2007

Three-hump fission barrier in Th 232 journal, April 1979

Fission of light actinides: Th 232 ( n , f ) and Pa 231 ( n , f ) reactions journal, July 2006

ENDF/B-VII.0: Next Generation Evaluated Nuclear Data Library for Nuclear Science and Technology journal, December 2006

Transmission through multi-humped fission barriers with absorption: A recursive approach journal, May 2008

Tunneling and super-barrier transmission through a system of two real potential barriers journal, June 1970

Nuclear Constitution and the Interpretation of Fission Phenomena journal, March 1953

Penetrability through a three-humped barrier in quasi-classical approximation journal, January 1976

Subbarrier photofission of U 238 journal, August 1980

An improved JWKB approximation for multiple-humped fission barriers journal, October 1977

Tunneling through equivalent multihumped fission barriers: Some implications for the actinide nuclei journal, March 1989

Test of the adequacy of using smoothly joined parabolic segments to parametrize the multihumped fission barriers in actinides journal, October 1990

RIPL – Reference Input Parameter Library for Calculation of Nuclear Reactions and Nuclear Data Evaluations journal, December 2009

Is a global coupled-channel dispersive optical model potential for actinides feasible? journal, December 2005

A Global Dispersive Coupled-Channel Optical Model Potential for Actinides journal, April 2008

The Inelastic Scattering of Neutrons journal, July 1952

Direct reactions and Hauser-Feshbach theory journal, April 1975

Subbarrier fission probabilities of 240Pu journal, September 1997

Neutron cross sections of 239Pu in the energy range 0.01–6 MeV journal, September 1997

Neutron cross-sections of 238U in the energy range 0.01–5.5 MeV journal, July 2000

Properties of fission isomers journal, January 1973

Uncertainties of mass extrapolations in Hartree-Fock-Bogoliubov mass models journal, May 2014

Octupole deformations in the nuclei beyond 208Pb journal, July 1972

Odd-multipole shape distortions and the fission barriers of elements in the region 84 ≦ z ≦ 120 journal, September 1972

Evidence for Rotational Bands near the Th 232 ( n , f ) Fission Threshold journal, December 1975

Rotational Bands in Asymmetrically Deformed Th 231 journal, November 1978

High resolution fission probabilities for 229, 230, 232Th(d pf) and 233, 236U(d, pf) reactions journal, February 1988

Experimental Evidence for Hyperdeformed States in U Isotopes journal, March 1998

On the excitation energy of the ground state in the third minimum of U journal, August 1999

Spectroscopy in the second and third minimum of actinide nuclei journal, January 2002

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Eight-dimensional calculations of the third barrier in 232 Th journal, April 2013

Third minima in thorium and uranium isotopes in a self-consistent theory journal, May 2013

Inter-comparison of Hauser-Feshbach model codes toward better actinide evaluations journal, January 2017

Novel applications of the dispersive optical model journal, February 2017

Review on the progress in nuclear fission—experimental methods and theoretical descriptions journal, September 2018

The CIELO Collaboration: Neutron Reactions on 1H, 16O, 56Fe, 235,238U, and 239Pu
journal, April 2014

Towards a More Complete and Accurate Experimental Nuclear Reaction Data Library (EXFOR): International Collaboration Between Nuclear Reaction Data Centres (NRDC)
journal, June 2014

International Evaluation of Neutron Cross Section Standards
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Physics of Neutron Interactions with 238U: New Developments and Challenges
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�ber den Nachweis und das Verhalten der bei der Bestrahlung des Urans mittels Neutronen entstehenden Erdalkalimetalle
journal, January 1939

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journal, February 1939

Towards a prediction of fission cross sections on the basis of microscopic nuclear inputs
journal, February 2009

The double-humped fission barrier
journal, October 1980

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journal, November 2013

Shell effects in nuclear masses and deformation energies
journal, April 1967

“Shells” in deformed nuclei
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Short-Range Intermediate Structure Observed in the ${}^{237}{Np}$ Neutron Subthreshold Fission Cross Section
journal, June 1968

Resonance grouping structure in neutron induced subthreshold fission of 240Pu
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Damping effects in the transmission through the double-humped fission barrier
journal, January 1970

Sub-barrier fission probability for a double-humped barrier
journal, February 1974

Fission of U, Np, Pu and Am isotopes excited in the (d, p) reaction
journal, April 1971

Fission of doubly even actinide nuclei induced by direct reactions
journal, May 1974

Fission of odd- $A$ and doubly odd actinide nuclei induced by direct reactions
journal, November 1974

EMPIRE: Nuclear Reaction Model Code System for Data Evaluation
journal, December 2007

Three-hump fission barrier in ${}^{232}{Th}$
journal, April 1979

Fission of light actinides: ${}^{232}{Th}$ ( $n$ , $f$ ) and ${}^{231}{Pa}$ ( $n$ , $f$ ) reactions
journal, July 2006

ENDF/B-VII.0: Next Generation Evaluated Nuclear Data Library for Nuclear Science and Technology
journal, December 2006

Transmission through multi-humped fission barriers with absorption: A recursive approach
journal, May 2008

Tunneling and super-barrier transmission through a system of two real potential barriers
journal, June 1970

Nuclear Constitution and the Interpretation of Fission Phenomena
journal, March 1953

Penetrability through a three-humped barrier in quasi-classical approximation
journal, January 1976

Subbarrier photofission of ${}^{238}U$
journal, August 1980

An improved JWKB approximation for multiple-humped fission barriers
journal, October 1977

Tunneling through equivalent multihumped fission barriers: Some implications for the actinide nuclei
journal, March 1989

Test of the adequacy of using smoothly joined parabolic segments to parametrize the multihumped fission barriers in actinides
journal, October 1990

RIPL – Reference Input Parameter Library for Calculation of Nuclear Reactions and Nuclear Data Evaluations
journal, December 2009

Is a global coupled-channel dispersive optical model potential for actinides feasible?
journal, December 2005

A Global Dispersive Coupled-Channel Optical Model Potential for Actinides
journal, April 2008

The Inelastic Scattering of Neutrons
journal, July 1952

Direct reactions and Hauser-Feshbach theory
journal, April 1975

Subbarrier fission probabilities of 240Pu
journal, September 1997

Neutron cross sections of 239Pu in the energy range 0.01–6 MeV
journal, September 1997

Neutron cross-sections of 238U in the energy range 0.01–5.5 MeV
journal, July 2000

Properties of fission isomers
journal, January 1973

Uncertainties of mass extrapolations in Hartree-Fock-Bogoliubov mass models
journal, May 2014

Octupole deformations in the nuclei beyond 208Pb
journal, July 1972

Odd-multipole shape distortions and the fission barriers of elements in the region 84 ≦ z ≦ 120
journal, September 1972

Evidence for Rotational Bands near the ${}^{232}{Th} (n, f)$ Fission Threshold
journal, December 1975

Rotational Bands in Asymmetrically Deformed ${}^{231}{Th}$
journal, November 1978

High resolution fission probabilities for 229, 230, 232Th(d pf) and 233, 236U(d, pf) reactions
journal, February 1988

Experimental Evidence for Hyperdeformed States in U Isotopes
journal, March 1998

On the excitation energy of the ground state in the third minimum of U
journal, August 1999

Spectroscopy in the second and third minimum of actinide nuclei
journal, January 2002

Resonant tunneling through the triple-humped fission barrier of 236U
journal, June 2005

Character and prevalence of third minima in actinide fission barriers
journal, May 2013

Eight-dimensional calculations of the third barrier in $^{232}$ Th
journal, April 2013

Third minima in thorium and uranium isotopes in a self-consistent theory
journal, May 2013

Inter-comparison of Hauser-Feshbach model codes toward better actinide evaluations
journal, January 2017

Novel applications of the dispersive optical model
journal, February 2017

Review on the progress in nuclear fission—experimental methods and theoretical descriptions
journal, September 2018