Transfer reaction code with nonlocal interactions

Titus, L. J.; Ross, A.; Nunes, F. M.

doi:10.1016/j.cpc.2016.06.022

Title: Transfer reaction code with nonlocal interactions

Abstract

We present a suite of codes (NLAT for nonlocal adiabatic transfer) to calculate the transfer cross section for single-nucleon transfer reactions, (d,N)(d,N) or (N,d)(N,d), including nonlocal nucleon–target interactions, within the adiabatic distorted wave approximation. For this purpose, we implement an iterative method for solving the second order nonlocal differential equation, for both scattering and bound states. The final observables that can be obtained with NLAT are differential angular distributions for the cross sections of A(d,N)BA(d,N)B or B(N,d)AB(N,d)A. Details on the implementation of the TT-matrix to obtain the final cross sections within the adiabatic distorted wave approximation method are also provided. This code is suitable to be applied for deuteron induced reactions in the range of View the MathML sourceEd=10–70MeV, and provides cross sections with 4% accuracy.

Authors:

Titus, L. J. ^[1]; Ross, A. ^[1]; Nunes, F. M. ^[1]

Michigan State Univ., East Lansing, MI (United States)

Publication Date:: Thu Jul 14 00:00:00 EDT 2016

Research Org.:: Michigan State Univ., East Lansing, MI (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1332501

Alternate Identifier(s):: OSTI ID: 1351828; OSTI ID: 1358997

Grant/Contract Number:: FG52-08NA28552; PHY-1403906; PHY-1520929

Resource Type:: Accepted Manuscript

Journal Name:: Computer Physics Communications

Additional Journal Information:: Journal Volume: 207; Journal Issue: C; Journal ID: ISSN 0010-4655

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 97 MATHEMATICS AND COMPUTING; transfer reactions; adiabatic distorted wave approximation; nonlocal interactions

Citation Formats


                    Titus, L. J., Ross, A., and Nunes, F. M. Transfer reaction code with nonlocal interactions.  United States: N. p., 2016. 
Web.  doi:10.1016/j.cpc.2016.06.022.

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                    Titus, L. J., Ross, A., & Nunes, F. M. Transfer reaction code with nonlocal interactions.  United States.  https://doi.org/10.1016/j.cpc.2016.06.022

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                    Titus, L. J., Ross, A., and Nunes, F. M. Thu .  
"Transfer reaction code with nonlocal interactions".  United States.  https://doi.org/10.1016/j.cpc.2016.06.022.  https://www.osti.gov/servlets/purl/1332501.

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@article{osti_1332501,

  title        = {Transfer reaction code with nonlocal interactions},

  author       = {Titus, L. J. and Ross, A. and Nunes, F. M.},

  abstractNote = {We present a suite of codes (NLAT for nonlocal adiabatic transfer) to calculate the transfer cross section for single-nucleon transfer reactions, (d,N)(d,N) or (N,d)(N,d), including nonlocal nucleon–target interactions, within the adiabatic distorted wave approximation. For this purpose, we implement an iterative method for solving the second order nonlocal differential equation, for both scattering and bound states. The final observables that can be obtained with NLAT are differential angular distributions for the cross sections of A(d,N)BA(d,N)B or B(N,d)AB(N,d)A. Details on the implementation of the TT-matrix to obtain the final cross sections within the adiabatic distorted wave approximation method are also provided. This code is suitable to be applied for deuteron induced reactions in the range of View the MathML sourceEd=10–70MeV, and provides cross sections with 4% accuracy.},

  doi          = {10.1016/j.cpc.2016.06.022},

  journal      = {Computer Physics Communications},

  number       = C,

  volume       = 207,

  place        = {United States},

  year         = {Thu Jul 14 00:00:00 EDT 2016},

  month        = {Thu Jul 14 00:00:00 EDT 2016}

}

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Works referenced in this record:

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Explicit inclusion of nonlocality in $(d, p)$ transfer reactions
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Titus, L. J.; Nunes, F. M.; Potel, G.
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Effects of nonlocal potentials on $(p, d)$ transfer reactions
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Ross, A.; Titus, L. J.; Nunes, F. M.
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text, January 2016

Titus, L. J.; Nunes, F. M.; Potel, G.
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Works referencing / citing this record:

Exploring experimental conditions to reduce uncertainties in the optical potential
journal, December 2019

Catacora-Rios, M.; King, G. B.; Lovell, A. E.
Physical Review C, Vol. 100, Issue 6
DOI: 10.1103/physrevc.100.064615

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Title: Transfer reaction code with nonlocal interactions

Abstract

Citation Formats

An approximate three-body theory of deuteron stripping journal, December 1974

Adiabatic approximation versus exact Faddeev method for ( d , p ) and ( p , d ) reactions journal, September 2011

Direct reaction measurements with a 132 Sn radioactive ion beam journal, September 2011

Halo Nucleus Be 11 : A Spectroscopic Study via Neutron Transfer journal, May 2012

Testing the Perey effect journal, March 2014

Explicit inclusion of nonlocality in ( d , p ) transfer reactions journal, January 2016

Effects of nonlocal potentials on ( p , d ) transfer reactions journal, October 2015

A non-local potential model for the scattering of neutrons by nuclei journal, April 1962

Systematic nonlocal optical model potential for nucleons journal, January 2015

Global optical model potential for elastic deuteron scattering from 12 to 90 MeV journal, June 1980

Solution of the Schrödinger equation containing a Perey–Buck nonlocality journal, July 2012

A simple and efficient numerical scheme to integrate non-local potentials journal, February 2009

Coupled reaction channels calculations in nuclear physics journal, April 1988

A global nucleon optical model potential journal, March 1991

A non-local potential model for the scattering of neutrons by nuclei journal, April 1962

Local and global nucleon optical models from 1 keV to 200 MeV journal, January 2003

Method for nonlocal optical model calculations journal, September 1990

Three-body direct nuclear reactions: Nonlocal optical potential text, January 2009

Adiabatic versus Faddeev for (d,p) and (p,d) reactions text, January 2011

Explicit inclusion of nonlocality in (d,p) transfer reactions text, January 2016

Exploring experimental conditions to reduce uncertainties in the optical potential journal, December 2019

An approximate three-body theory of deuteron stripping
journal, December 1974

Adiabatic approximation versus exact Faddeev method for ( $d, p$ ) and ( $p, d$ ) reactions
journal, September 2011

Direct reaction measurements with a $^{132}$ Sn radioactive ion beam
journal, September 2011

Halo Nucleus ${}^{11}{Be}$ : A Spectroscopic Study via Neutron Transfer
journal, May 2012

Testing the Perey effect
journal, March 2014

Explicit inclusion of nonlocality in $(d, p)$ transfer reactions
journal, January 2016

Effects of nonlocal potentials on $(p, d)$ transfer reactions
journal, October 2015

A non-local potential model for the scattering of neutrons by nuclei
journal, April 1962

Systematic nonlocal optical model potential for nucleons
journal, January 2015

Global optical model potential for elastic deuteron scattering from 12 to 90 MeV
journal, June 1980

Solution of the Schrödinger equation containing a Perey–Buck nonlocality
journal, July 2012

A simple and efficient numerical scheme to integrate non-local potentials
journal, February 2009

Coupled reaction channels calculations in nuclear physics
journal, April 1988

A global nucleon optical model potential
journal, March 1991

A non-local potential model for the scattering of neutrons by nuclei
journal, April 1962

Local and global nucleon optical models from 1 keV to 200 MeV
journal, January 2003

Method for nonlocal optical model calculations
journal, September 1990

Three-body direct nuclear reactions: Nonlocal optical potential
text, January 2009

Adiabatic versus Faddeev for (d,p) and (p,d) reactions
text, January 2011

Explicit inclusion of nonlocality in (d,p) transfer reactions
text, January 2016

Exploring experimental conditions to reduce uncertainties in the optical potential
journal, December 2019