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

Titus, L. J.; Nunes, F. M.; Potel, G.

doi:10.1103/PhysRevC.93.014604

Title: Explicit inclusion of nonlocality in $(d, p)$ transfer reactions

Abstract

Traditionally, nucleon-nucleus optical potentials are made local for convenience. In recent work we studied the effects of including nonlocal interactions explicitly in the final state for (d,p) reactions, within the distorted wave Born approximation. Our goal in this work is to develop an improved formalism for nonlocal interactions that includes deuteron breakup and to use it to study the effects of including nonlocal interactions in transfer (d,p) reactions, in both the deuteron and the proton channel. We extend the finite-range adiabatic distorted wave approximation to include nonlocal nucleon optical potentials. We apply our method to (d,p) reactions on ¹⁶O, ⁴⁰Ca, ⁴⁸Ca, ¹²⁶Sn, ¹³²Sn, and ²⁰⁸Pb at 10, 20 and 50 MeV. Here, we find that nonlocality in the deuteron scattering state reduces the amplitude of the wave function in the nuclear interior, and shifts the wave function outward. In many cases, this has the effect of increasing the transfer cross section at the first peak of the angular distributions. This increase was most significant for heavy targets and for reactions at high energies. Lastly, our systematic study shows that, if only local optical potentials are used in the analysis of experimental (d, p) transfer cross sections, the extracted spectroscopic factorsmore »« less

Authors:

Titus, L. J. ^[1]; Nunes, F. M. ^[1]; Potel, G. ^[2]

Michigan State Univ., East Lansing, MI (United States)
Michigan State Univ., East Lansing, MI (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Publication Date:: Wed Jan 06 00:00:00 EST 2016

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

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

OSTI Identifier:: 1332500

Alternate Identifier(s):: OSTI ID: 1234285

Grant/Contract Number:: FG52-08NA28552

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C

Additional Journal Information:: Journal Volume: 93; Journal Issue: 1; Journal ID: ISSN 2469-9985

Publisher:: APS

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; elastic scattering; bound states; transfer reactions; nonlocal optical potentials; Perey effect

Citation Formats


                    Titus, L. J., Nunes, F. M., and Potel, G. Explicit inclusion of nonlocality in (d,p) transfer reactions.  United States: N. p., 2016. 
Web.  doi:10.1103/PhysRevC.93.014604.

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                    Titus, L. J., Nunes, F. M., & Potel, G. Explicit inclusion of nonlocality in (d,p) transfer reactions.  United States.  https://doi.org/10.1103/PhysRevC.93.014604

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                    Titus, L. J., Nunes, F. M., and Potel, G. Wed .  
"Explicit inclusion of nonlocality in (d,p) transfer reactions".  United States.  https://doi.org/10.1103/PhysRevC.93.014604.  https://www.osti.gov/servlets/purl/1332500.

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@article{osti_1332500,

  title        = {Explicit inclusion of nonlocality in (d,p) transfer reactions},

  author       = {Titus, L. J. and Nunes, F. M. and Potel, G.},

  abstractNote = {Traditionally, nucleon-nucleus optical potentials are made local for convenience. In recent work we studied the effects of including nonlocal interactions explicitly in the final state for (d,p) reactions, within the distorted wave Born approximation. Our goal in this work is to develop an improved formalism for nonlocal interactions that includes deuteron breakup and to use it to study the effects of including nonlocal interactions in transfer (d,p) reactions, in both the deuteron and the proton channel. We extend the finite-range adiabatic distorted wave approximation to include nonlocal nucleon optical potentials. We apply our method to (d,p) reactions on 16O, 40Ca, 48Ca, 126Sn, 132Sn, and 208Pb at 10, 20 and 50 MeV. Here, we find that nonlocality in the deuteron scattering state reduces the amplitude of the wave function in the nuclear interior, and shifts the wave function outward. In many cases, this has the effect of increasing the transfer cross section at the first peak of the angular distributions. This increase was most significant for heavy targets and for reactions at high energies. Lastly, our systematic study shows that, if only local optical potentials are used in the analysis of experimental (d, p) transfer cross sections, the extracted spectroscopic factors may be incorrect by up to 40% due to the local approximation.},

  doi          = {10.1103/PhysRevC.93.014604},

  journal      = {Physical Review C},

  number       = 1,

  volume       = 93,

  place        = {United States},

  year         = {Wed Jan 06 00:00:00 EST 2016},

  month        = {Wed Jan 06 00:00:00 EST 2016}

}

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Works referencing / citing this record:

Nucleon transfer reactions with radioactive beams
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Wimmer, K.
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Three-body problem with velocity-dependent optical potentials: a case of ( d , p ) reactions
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text, January 2019

Timofeyuk, N. K.
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DOI: 10.48550/arxiv.1903.04216

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Title: Explicit inclusion of nonlocality in ( d , p ) transfer reactions

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The equivalent local potential and the Perey effect journal, March 1966

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

Nonlocality in Deuteron Stripping Reactions journal, March 2013

Nonlocality in the adiabatic model of A ( d , p ) B reactions journal, June 2013

Quasiparticles and the Born Series journal, July 1963

Deuteron breakup effects in transfer reactions using a Weinberg state expansion method journal, September 1993

Rapid convergence of the Weinberg expansion of the deuteron stripping amplitude journal, June 2013

Theory of ( d , p ) and ( p , d ) reactions including breakup: Comparison of methods journal, December 2009

Coupled reaction channels calculations in nuclear physics journal, April 1988

Spectroscopic factors for ln = 1 and ln = 3 transitions in (d, p) reactions with some calcium and chromium nuclei journal, September 1970

Deuteron elastic scattering and (d, p) reactions on 208Pb at Ed = 22 MeV and j-dependence of T20 in (d,p) reaction journal, January 1998

Single-particle strengths measured with 48Ca(, p)49Ca reaction at 56 MeV journal, August 1994

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Title: Explicit inclusion of nonlocality in $(d, p)$ transfer reactions

Halo Nucleus ${}^{11}{Be}$ : A Spectroscopic Study via Neutron Transfer
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Direct reaction measurements with a $^{132}$ Sn radioactive ion beam
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Neutron Single Particle Structure in ${}^{131}{Sn}$ and Direct Neutron Capture Cross Sections
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Determining the $r p$ -Process Flow through ${}^{56}{Ni}$ : Resonances in ${}^{57}{Cu} (p, γ) {}^{58}{Zn}$ Identified with GRETINA
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Applications of Nuclear Science for Stewardship Science
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Adiabatic approximation versus exact Faddeev method for ( $d, p$ ) and ( $p, d$ ) reactions
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Testing the continuum-discretized coupled channels method for deuteron-induced reactions
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Faddeev-type calculation of three-body nuclear reactions including core excitation
journal, July 2013

Systematic uncertainties in direct reaction theories
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A Formal Optical Model
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Role of the Pauli Principle in Collective-Model Coupled-Channel Calculations
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Local representation of the exchange nonlocality in n $-^{16}$ O scattering
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Two causes of nonlocalities in nucleon-nucleus potentials and their effects in nucleon-nucleus scattering
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The microscopic feshbach optical potential for a schematic coupled channel example
journal, December 1987

Unified theory of nuclear reactions
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A unified theory of nuclear reactions. II
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Semimicroscopic nucleon-nucleus spherical optical model for nuclei with $A >~ 40$ at energies up to 200 MeV
journal, August 1998

Lane-consistent, semimicroscopic nucleon-nucleus optical model
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Forging the Link between Nuclear Reactions and Nuclear Structure
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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

An energy-independent nonlocal potential model for bound and scattering states
journal, December 1976

An energy-independent nonlocal potential model. II. The asymmetry term
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journal, November 1957

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

A global nucleon optical model potential
journal, March 1991

Nucleon-Nucleus Optical-Model Parameters, $A > 40$ , $E < 50$ MeV
journal, June 1969

Wave Functions of Nonlocal Potentials: The Perey Effect
journal, February 1965

The equivalent local potential and the Perey effect
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An approximate three-body theory of deuteron stripping
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journal, December 2009

Coupled reaction channels calculations in nuclear physics
journal, April 1988

Spectroscopic factors for ln = 1 and ln = 3 transitions in (d, p) reactions with some calcium and chromium nuclei
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Single-particle strengths measured with 48Ca(, p)49Ca reaction at 56 MeV
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Global optical model potential for elastic deuteron scattering from 12 to 90 MeV
journal, June 1980

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journal, April 2019

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