Consistency of nucleon-transfer sum rules in well-deformed nuclei

Kay, B. P.; Schiffer, J. P.; Freeman, S. J.; Tang, T. L.; Cropper, B. D.; Faestermann, T.; Hertenberger, R.; Keatings, J. M.; MacGregor, P. T.; Smith, J. F.; Wirth, H. -F.

doi:10.1103/physrevc.103.024319

Title: Consistency of nucleon-transfer sum rules in well-deformed nuclei

Abstract

Here, nucleon-transfer sum rules have been assessed via a consistent reanalysis of cross-section data from neutron-adding (d, p) and -removing (d, t) reactions on well-deformed isotopes of Gd, Dy, Er, Yb, and W, with 92 ≤ N ≤ 108 , studied at the Niels Bohr Institute in the 1960s and 1970s. These are complemented by new measurements of cross sections using the (d, p), (d, t), and (p, d) reactions on a subset of these nuclei. The sum rules, defined in a Nilsson-model framework, are remarkably consistent. A single overall normalization is used in the analysis, which appears to be sensitive to assumptions about the reaction mechanism, and in the case of sums using the (d, t) reaction, differs from values determined from reactions on spherical systems.

Authors:

^[1]; Schiffer, J. P. ^[1];

^[2]; Tang, T. L. ^[1]; Cropper, B. D. ^[2];

^[3];

^[4]; Keatings, J. M. ^[5];

^[2];

^[5]; Wirth, H. -F. ^[4]

Argonne National Lab. (ANL), Argonne, IL (United States)
Univ. of Manchester (United Kingdom)
Technische Univ. Munchen, Garching (Germany)
Ludwig Maximilian Univ. of Munich, Munich (Germany)
Univ. of the West of Scotland, Paisley (United Kingdom)

Publication Date:: Tue Feb 23 00:00:00 EST 2021

Research Org.:: Argonne National Lab. (ANL), Argonne, IL (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); Science and Technology Facilities Council (STFC) (United Kingdom)

OSTI Identifier:: 1767131

Grant/Contract Number:: AC02-06CH11357; ST/P004423/1; ST/P005101/1

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C

Additional Journal Information:: Journal Volume: 103; Journal Issue: 2; 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


                    Kay, B. P., Schiffer, J. P., Freeman, S. J., Tang, T. L., Cropper, B. D., Faestermann, T., Hertenberger, R., Keatings, J. M., MacGregor, P. T., Smith, J. F., and Wirth, H. -F. Consistency of nucleon-transfer sum rules in well-deformed nuclei.  United States: N. p., 2021. 
Web.  doi:10.1103/physrevc.103.024319.

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                    Kay, B. P., Schiffer, J. P., Freeman, S. J., Tang, T. L., Cropper, B. D., Faestermann, T., Hertenberger, R., Keatings, J. M., MacGregor, P. T., Smith, J. F., & Wirth, H. -F. Consistency of nucleon-transfer sum rules in well-deformed nuclei.  United States.  https://doi.org/10.1103/physrevc.103.024319

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                    Kay, B. P., Schiffer, J. P., Freeman, S. J., Tang, T. L., Cropper, B. D., Faestermann, T., Hertenberger, R., Keatings, J. M., MacGregor, P. T., Smith, J. F., and Wirth, H. -F. Tue .  
"Consistency of nucleon-transfer sum rules in well-deformed nuclei".  United States.  https://doi.org/10.1103/physrevc.103.024319.  https://www.osti.gov/servlets/purl/1767131.

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@article{osti_1767131,

  title        = {Consistency of nucleon-transfer sum rules in well-deformed nuclei},

  author       = {Kay, B. P. and Schiffer, J. P. and Freeman, S. J. and Tang, T. L. and Cropper, B. D. and Faestermann, T. and Hertenberger, R. and Keatings, J. M. and MacGregor, P. T. and Smith, J. F. and Wirth, H. -F.},

  abstractNote = {Here, nucleon-transfer sum rules have been assessed via a consistent reanalysis of cross-section data from neutron-adding (d, p) and -removing (d, t) reactions on well-deformed isotopes of Gd, Dy, Er, Yb, and W, with 92 ≤ N ≤ 108 , studied at the Niels Bohr Institute in the 1960s and 1970s. These are complemented by new measurements of cross sections using the (d, p), (d, t), and (p, d) reactions on a subset of these nuclei. The sum rules, defined in a Nilsson-model framework, are remarkably consistent. A single overall normalization is used in the analysis, which appears to be sensitive to assumptions about the reaction mechanism, and in the case of sums using the (d, t) reaction, differs from values determined from reactions on spherical systems.},

  doi          = {10.1103/physrevc.103.024319},

  journal      = {Physical Review C},

  number       = 2,

  volume       = 103,

  place        = {United States},

  year         = {Tue Feb 23 00:00:00 EST 2021},

  month        = {Tue Feb 23 00:00:00 EST 2021}

}

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Works referenced in this record:

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Title: Consistency of nucleon-transfer sum rules in well-deformed nuclei

Abstract

Citation Formats

Analysis of spectroscopic factors in Be 11 and Be 12 in the Nilsson strong-coupling limit journal, January 2018

Coriolis coupling analysis of the cross sections from (d, p) and (d, t) reactions journal, November 1969

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Analysis of spectroscopic factors in ${}^{11}{Be}$ and ${}^{12}{Be}$ in the Nilsson strong-coupling limit
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Coriolis coupling analysis of the cross sections from (d, p) and (d, t) reactions
journal, November 1969

Accurate nucleon-nucleon potential with charge-independence breaking
journal, January 1995

Global deuteron optical model potential for the energy range up to 183 MeV
journal, May 2006

Deuteron Stripping and the Collective Nuclear Model
journal, March 1955

Valence nucleon populations in the Ni isotopes
journal, March 2013

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

A consistent analysis of (e,e′p) and (d,3He) experiments
journal, January 2001

Stripping Reactions and the Structure of Light and Intermediate Nuclei
journal, July 1960

Test of Sum Rules in Nucleon Transfer Reactions
journal, January 2012

Quantum Monte Carlo calculations of spectroscopic overlaps in $A ⩽ 7$ nuclei
journal, August 2011

Global optical model potential for $A = 3$ projectiles
journal, February 2009

Particle Transfer Reactions on Deformed Nuclei
journal, January 1969

The study of nuclear collective motion by stripping reactions
journal, March 1958

A proposed spectrograph for heavy particles
journal, July 1963

Quenching of Cross Sections in Nucleon Transfer Reactions
journal, July 2013

Experimental study of the rearrangements of valence protons and neutrons amongst single-particle orbits during double- $β$ decay in ${}^{100}{Mo}$
journal, November 2017

Spectroscopic factors in the $N = 20$ island of inversion: The Nilsson strong-coupling limit
journal, November 2017

Absolute Spectroscopic Factors for ( $d, p$ ) Reactions on Heavy Deformed Nuclei
journal, July 1967

Coriolis effects and rotation alignment in nuclei
journal, January 1975

The multipole element of the Q3D spectrograph for correction of the kinematic broadening
journal, July 1976

Analysis of the $^{18} F^{g, m} (d, p) {}^{19}F$ reactions in the rotational model
journal, April 2020

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