Constraining spectroscopic factors near the r -process path using combined measurements: Kr86 (d, p)87Kr

Walter, D.; Pain, S. D.; Cizewski, J. A.; Nunes, F. M.; Ahn, S.; Baugher, T.; Bardayan, D. W.; Baumann, T.; Bazin, D.; Burcher, S.; Chipps, K. A.; Cerizza, G.; Jones, K. L.; Kozub, R. L.; Lonsdale, S. J.; Manning, B.; Montes, F.; O'Malley, P. D.; Ota, S.; Pereira, J.; Ratkiewicz, A.; Thompson, P.; Thornsberry, C.; Williams, S.

doi:10.1103/PhysRevC.99.054625

Title: Constraining spectroscopic factors near the $r$ -process path using combined measurements: ${}^{86}{Kr}$ $(d,$ ${p)}^{87} Kr$

Abstract

Background: Current nuclear structure models indicate that the shell structure near the valley of stability, with well-established shell closures at N=50, for example, changes in very neutron-rich nuclei far from stability. Single-particle properties of nuclei away from stability can be probed in single-neutron (d,p) transfer reactions with beams of rare isotopes. The interpretation of these data requires reaction theories with various effective interactions. Often, approximations made to the final bound-state potential introduce a large uncertainty in the extracted single-particle properties, in particular the spectroscopic factor. Purpose: Mitigate this uncertainty using a combined measurement method to constrain the shape of the bound-state potential and to reliably extract the spectroscopic factor. Methods: The ²H(⁸⁶Kr,p)⁸⁷Kr reaction was measured at 33 MeV/u at the National Superconducting Cyclotron Laboratory (NSCL) as a test of the combined method. The reaction protons were detected with the Oak Ridge Rutgers University Barrel Array (ORRUBA) of position sensitive silicon strip detectors, the first implementation of ORRUBA coupled to the S800 spectrograph with fast beams at NSCL. Results: These measurements at 33 MeV/u are combined with previous studies of the ⁸⁶Kr(d,p) reaction at 5.5 MeV/u to demonstrate a successful case of the combined method to constrain the shape of the single-particle potential and deduce asymptotic normalization coefficients and spectroscopic factors. In particular, the single-particle asymptotic normalization coefficient for the ground state of ⁸⁷Kr was constrained to b_d5/2=6.46$$^{+1.12}_{–0.57}$$ fm^–1/2, and therefore the deduced spectroscopic factor is S=0.44$$^{+0.09}_{–0.13}$$ with uncertainties dominated by experimental statistics.Conclusions: By combining measurements at two very different beam energies, single-particle asymptotic normalization coefficients, at least for low angular momentum transfers, can be constrained. Thus, spectroscopic factors can be deduced with uncertainties dominated by experimental uncertainties, rather than limited knowledge of bound-state potential parameters.

Authors:

Walter, D. ^[1]; Pain, S. D. ^[2]; Cizewski, J. A. ^[1]; Nunes, F. M. ^[3]; Ahn, S. ^[4]; Baugher, T. ^[1]; Bardayan, D. W. ^[5]; Baumann, T. ^[6]; Bazin, D. ^[6]; Burcher, S. ^[1]; Chipps, K. A. ^[7]; Cerizza, G. ^[8]; Jones, K. L. ^[8]; Kozub, R. L. ^[9]; Lonsdale, S. J. ^[1]; Manning, B. ^[1]; Montes, F. ^[10]; O'Malley, P. D. ^[5]; Ota, S. ^[11]; Pereira, J. ^[6] more »

Rutgers Univ., New Brunswick, NJ (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Michigan State Univ., East Lansing, MI (United States); National Superconducting Cyclotron Lab., East Lansing, MI (United States)
Michigan State Univ., East Lansing, MI (United States)
Univ. of Notre Dame, IN (United States)
National Superconducting Cyclotron Lab., East Lansing, MI (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)
Univ. of Tennessee, Knoxville, TN (United States)
Tennessee Technological Univ., Cookeville, TN (United States)
National Superconducting Cyclotron Lab., East Lansing, MI (United States); Michigan State Univ., East Lansing, MI (United States)
Japan Atomic Energy Agency (JAEA), Tokai (Japan)

Publication Date:: Fri May 24 00:00:00 EDT 2019

Research Org.:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States); Rutgers Univ., Piscataway, NJ (United States); Univ. of Tennessee, Knoxville, TN (United States); Tennessee Technological Univ., Cookeville, TN (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); USDOE National Nuclear Security Administration

OSTI Identifier:: 1566953

Alternate Identifier(s):: OSTI ID: 1515592; OSTI ID: 1619203

Grant/Contract Number:: NA0002132; FG52-08NA28552; AC05-00OR22725; FG02-96ER40983; SC0001174; FG02-96ER40955; NA0003897; PHY-1404218; PHY-1068571; PHY-1403906; PHY-1102511; PHY-1419765

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C

Additional Journal Information:: Journal Volume: 99; Journal Issue: 5; Journal ID: ISSN 2469-9985

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats


                    Walter, D., Pain, S. D., Cizewski, J. A., Nunes, F. M., Ahn, S., Baugher, T., Bardayan, D. W., Baumann, T., Bazin, D., Burcher, S., Chipps, K. A., Cerizza, G., Jones, K. L., Kozub, R. L., Lonsdale, S. J., Manning, B., Montes, F., O'Malley, P. D., Ota, S., Pereira, J., Ratkiewicz, A., Thompson, P., Thornsberry, C., and Williams, S. Constraining spectroscopic factors near the r -process path using combined measurements: Kr86 (d, p)87Kr.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevC.99.054625.

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                    Walter, D., Pain, S. D., Cizewski, J. A., Nunes, F. M., Ahn, S., Baugher, T., Bardayan, D. W., Baumann, T., Bazin, D., Burcher, S., Chipps, K. A., Cerizza, G., Jones, K. L., Kozub, R. L., Lonsdale, S. J., Manning, B., Montes, F., O'Malley, P. D., Ota, S., Pereira, J., Ratkiewicz, A., Thompson, P., Thornsberry, C., & Williams, S. Constraining spectroscopic factors near the r -process path using combined measurements: Kr86 (d, p)87Kr.  United States.  https://doi.org/10.1103/PhysRevC.99.054625

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                    Walter, D., Pain, S. D., Cizewski, J. A., Nunes, F. M., Ahn, S., Baugher, T., Bardayan, D. W., Baumann, T., Bazin, D., Burcher, S., Chipps, K. A., Cerizza, G., Jones, K. L., Kozub, R. L., Lonsdale, S. J., Manning, B., Montes, F., O'Malley, P. D., Ota, S., Pereira, J., Ratkiewicz, A., Thompson, P., Thornsberry, C., and Williams, S. Fri .  
"Constraining spectroscopic factors near the r -process path using combined measurements: Kr86 (d, p)87Kr".  United States.  https://doi.org/10.1103/PhysRevC.99.054625.  https://www.osti.gov/servlets/purl/1566953.

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@article{osti_1566953,

  title        = {Constraining spectroscopic factors near the r -process path using combined measurements: Kr86 (d, p)87Kr},

  author       = {Walter, D. and Pain, S. D. and Cizewski, J. A. and Nunes, F. M. and Ahn, S. and Baugher, T. and Bardayan, D. W. and Baumann, T. and Bazin, D. and Burcher, S. and Chipps, K. A. and Cerizza, G. and Jones, K. L. and Kozub, R. L. and Lonsdale, S. J. and Manning, B. and Montes, F. and O'Malley, P. D. and Ota, S. and Pereira, J. and Ratkiewicz, A. and Thompson, P. and Thornsberry, C. and Williams, S.},

  abstractNote = {Background: Current nuclear structure models indicate that the shell structure near the valley of stability, with well-established shell closures at N=50, for example, changes in very neutron-rich nuclei far from stability. Single-particle properties of nuclei away from stability can be probed in single-neutron (d,p) transfer reactions with beams of rare isotopes. The interpretation of these data requires reaction theories with various effective interactions. Often, approximations made to the final bound-state potential introduce a large uncertainty in the extracted single-particle properties, in particular the spectroscopic factor. Purpose: Mitigate this uncertainty using a combined measurement method to constrain the shape of the bound-state potential and to reliably extract the spectroscopic factor. Methods: The 2H(86Kr,p)87Kr reaction was measured at 33 MeV/u at the National Superconducting Cyclotron Laboratory (NSCL) as a test of the combined method. The reaction protons were detected with the Oak Ridge Rutgers University Barrel Array (ORRUBA) of position sensitive silicon strip detectors, the first implementation of ORRUBA coupled to the S800 spectrograph with fast beams at NSCL. Results: These measurements at 33 MeV/u are combined with previous studies of the 86Kr(d,p) reaction at 5.5 MeV/u to demonstrate a successful case of the combined method to constrain the shape of the single-particle potential and deduce asymptotic normalization coefficients and spectroscopic factors. In particular, the single-particle asymptotic normalization coefficient for the ground state of 87Kr was constrained to bd5/2=6.46$^{+1.12}_{–0.57}$ fm–1/2, and therefore the deduced spectroscopic factor is S=0.44$^{+0.09}_{–0.13}$ with uncertainties dominated by experimental statistics.Conclusions: By combining measurements at two very different beam energies, single-particle asymptotic normalization coefficients, at least for low angular momentum transfers, can be constrained. Thus, spectroscopic factors can be deduced with uncertainties dominated by experimental uncertainties, rather than limited knowledge of bound-state potential parameters.},

  doi          = {10.1103/PhysRevC.99.054625},

  journal      = {Physical Review C},

  number       = 5,

  volume       = 99,

  place        = {United States},

  year         = {Fri May 24 00:00:00 EDT 2019},

  month        = {Fri May 24 00:00:00 EDT 2019}

}

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Title: Constraining spectroscopic factors near the r -process path using combined measurements: Kr 86 (d, p ) 87Kr

Abstract

Citation Formats

Single-neutron excitations in neutron-rich Ge 83 and Se 85 journal, October 2007

Combined method to extract spectroscopic information journal, July 2005

Elastic scattering of 9–13 MeV vector polarized deuterons journal, November 1974

Neutron-hole states in 45 Ar from 1 H( 46 Ar, d ) 45 Ar reactions journal, July 2013

Coupled reaction channels calculations in nuclear physics journal, April 1988

Neutron single-particle strength outside the N = 50 core journal, January 2013

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

Local phenomenological nucleon-nucleon potentials journal, December 1968

Sensitivity studies for the weak r process: neutron capture rates journal, April 2014

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

Development of the ORRUBA Silicon Detector Array conference, January 2009

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

Destruction of 18 F via 18 F ( p , α ) 15 O burning through the E c . m . = 665 keV resonance journal, May 2001

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

Kr 86 ( d , p ) Kr 87 Reactions and Comparisons with ( d , p ) Reactions on Sr 88 , Zr 90 , and Mo 92 journal, April 1965

Determination of the asymptotic normalization coefficients for C 14 + n ↔ C 15 , the C 14 ( n , γ ) C 15 reaction rate, and evaluation of a new method to determine spectroscopic factors journal, April 2014

The impact of individual nuclear properties on r -process nucleosynthesis journal, January 2016

Asymptotic normalization coefficients and spectroscopic factors from deuteron stripping reactions journal, October 2014

Neutron Single Particle Structure in Sn 131 and Direct Neutron Capture Cross Sections journal, October 2012

Corrigendum to “The impact of individual nuclear properties on r -process nucleosynthesis” [J. Prog. Part. Nucl. Phys. 86C (2015) 86–126] journal, March 2016

Nuclear Reactions for Astrophysics: Principles, Calculation and Applications of Low-Energy Reactions book, January 2009

Nuclear Data Sheets for A = 87 journal, November 2015

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Benchmark on neutron capture extracted from ( d , p ) reactions journal, May 2008

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Are spectroscopic factors from transfer reactions consistent with asymptotic normalization coefficients? journal, February 2007

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Kr 86 ( d , p ) Kr 87 Reaction journal, March 1970

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Title: Constraining spectroscopic factors near the $r$ -process path using combined measurements: ${}^{86}{Kr}$ $(d,$ ${p)}^{87} Kr$

Single-neutron excitations in neutron-rich ${}^{83}{Ge}$ and ${}^{85}{Se}$
journal, October 2007

Combined method to extract spectroscopic information
journal, July 2005

Elastic scattering of 9–13 MeV vector polarized deuterons
journal, November 1974

Neutron-hole states in $^{45}$ Ar from $^{1}$ H( $^{46}$ Ar, $d$ ) $^{45}$ Ar reactions
journal, July 2013

Coupled reaction channels calculations in nuclear physics
journal, April 1988

Neutron single-particle strength outside the $N = 50$ core
journal, January 2013

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

Local phenomenological nucleon-nucleon potentials
journal, December 1968

Sensitivity studies for the weak r process: neutron capture rates
journal, April 2014

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

Development of the ORRUBA Silicon Detector Array
conference, January 2009

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

Destruction of $^{18} F$ via $^{18} F (p, α)^{15} O$ burning through the $E_{c . m .} = 665$ keV resonance
journal, May 2001

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

${Kr}^{86} (d, p) {Kr}^{87}$ Reactions and Comparisons with ( $d, p$ ) Reactions on ${Sr}^{88}$ , ${Zr}^{90}$ , and ${Mo}^{92}$
journal, April 1965

Determination of the asymptotic normalization coefficients for ${}^{14}C$ + $n \leftrightarrow {}^{15}C$ , the ${}^{14}C (n, γ) {}^{15}C$ reaction rate, and evaluation of a new method to determine spectroscopic factors
journal, April 2014

The impact of individual nuclear properties on $r$ -process nucleosynthesis
journal, January 2016

Asymptotic normalization coefficients and spectroscopic factors from deuteron stripping reactions
journal, October 2014

Neutron Single Particle Structure in ${}^{131}{Sn}$ and Direct Neutron Capture Cross Sections
journal, October 2012

Corrigendum to “The impact of individual nuclear properties on $r$ -process nucleosynthesis” [J. Prog. Part. Nucl. Phys. 86C (2015) 86–126]
journal, March 2016

Nuclear Reactions for Astrophysics: Principles, Calculation and Applications of Low-Energy Reactions
book, January 2009

Nuclear Data Sheets for A = 87
journal, November 2015

The high resolution array (HiRA) for rare isotope beam experiments
journal, December 2007

Benchmark on neutron capture extracted from $(d, p)$ reactions
journal, May 2008

Improved technique for preparation of deuterated-polyethylene targets
journal, November 2017

Informing direct neutron capture on tin isotopes near the $N = 82$ shell closure
journal, April 2019

Are spectroscopic factors from transfer reactions consistent with asymptotic normalization coefficients?
journal, February 2007

A global nucleon optical model potential
journal, March 1991

${}^{86}{Kr} (d, p) {}^{87}{Kr}$ Reaction
journal, March 1970

A multi-channel integrated circuit for use in low- and intermediate-energy nuclear physics—HINP16C
journal, April 2007