Two-nucleon S01 amplitude zero in chiral effective field theory

Sanchez, M. Sanchez; Yang, C. -J.; Long, Bingwei; van Kolck, U.

doi:10.1103/PhysRevC.97.024001

Title: Two-nucleon ${}^{1}S_{0}$ amplitude zero in chiral effective field theory

Abstract

We present a new rearrangement of short-range interactions in the ¹S₀ nucleon-nucleon channel within chiral effective field theory. This is intended to address the slow convergence of Weinberg’s scheme, which we attribute to its failure to reproduce the amplitude zero (scattering momentum ≃340 MeV) at leading order. After the power counting scheme is modified to accommodate the zero at leading order, it includes subleading corrections perturbatively in a way that is consistent with renormalization-group invariance. Systematic improvement is shown at next-to-leading order, and we obtain results that fit empirical phase shifts remarkably well all the way up to the pion-production threshold. As a result, an approach in which pions have been integrated out is included, which allows us to derive analytic results that also fit phenomenology surprisingly well.

Authors:

Sanchez, M. Sanchez ^[1]; Yang, C. -J. ^[1]; Long, Bingwei ^[2]; van Kolck, U. ^[3]

Univ. Paris-Sud, Univ. Paris-Saclay, Orsay (France)
Sichuan Univ., Chengdu (China)
Univ. Paris-Sud, Univ. Paris-Saclay, Orsay (France); Univ. of Arizona, Tucson, AZ (United States)

Publication Date:: Mon Feb 05 00:00:00 EST 2018

Research Org.:: Univ. of Arizona, Tucson, AZ (United States)

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

OSTI Identifier:: 1419472

Alternate Identifier(s):: OSTI ID: 1419600

Grant/Contract Number:: FG02-04ER41338

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C

Additional Journal Information:: Journal Volume: 97; 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


                    Sanchez, M. Sanchez, Yang, C. -J., Long, Bingwei, and van Kolck, U. Two-nucleon S01 amplitude zero in chiral effective field theory.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevC.97.024001.

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                    Sanchez, M. Sanchez, Yang, C. -J., Long, Bingwei, & van Kolck, U. Two-nucleon S01 amplitude zero in chiral effective field theory.  United States.  https://doi.org/10.1103/PhysRevC.97.024001

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                    Sanchez, M. Sanchez, Yang, C. -J., Long, Bingwei, and van Kolck, U. Mon .  
"Two-nucleon S01 amplitude zero in chiral effective field theory".  United States.  https://doi.org/10.1103/PhysRevC.97.024001.  https://www.osti.gov/servlets/purl/1419472.

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@article{osti_1419472,

  title        = {Two-nucleon S01 amplitude zero in chiral effective field theory},

  author       = {Sanchez, M. Sanchez and Yang, C. -J. and Long, Bingwei and van Kolck, U.},

  abstractNote = {We present a new rearrangement of short-range interactions in the 1S0 nucleon-nucleon channel within chiral effective field theory. This is intended to address the slow convergence of Weinberg’s scheme, which we attribute to its failure to reproduce the amplitude zero (scattering momentum ≃340 MeV) at leading order. After the power counting scheme is modified to accommodate the zero at leading order, it includes subleading corrections perturbatively in a way that is consistent with renormalization-group invariance. Systematic improvement is shown at next-to-leading order, and we obtain results that fit empirical phase shifts remarkably well all the way up to the pion-production threshold. As a result, an approach in which pions have been integrated out is included, which allows us to derive analytic results that also fit phenomenology surprisingly well.},

  doi          = {10.1103/PhysRevC.97.024001},

  journal      = {Physical Review C},

  number       = 2,

  volume       = 97,

  place        = {United States},

  year         = {Mon Feb 05 00:00:00 EST 2018},

  month        = {Mon Feb 05 00:00:00 EST 2018}

}

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Figures / Tables:

Fig. 1: Full two-dibaryon propagator (solid box) resulting from the non-perturbative dressing of bare dibaryon-1 (dashed box) and dibaryon-2 (plain box) propagators with nucleon bubbles (circles).

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Lutz, M.
arXiv
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Works referencing / citing this record:

Nuclear Structure from the In-Medium Similarity Renormalization Group
journal, June 2018

Hergert, H.; Yao, J. M.; Morris, T. D.
Journal of Physics: Conference Series, Vol. 1041
DOI: 10.1088/1742-6596/1041/1/012007

Perturbative $NN$ scattering in chiral effective field theory
text, January 2018

Wu, Shaowei; Long, Bingwei
arXiv
DOI: 10.48550/arxiv.1807.04407

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Title: Two-nucleon S 0 1 amplitude zero in chiral effective field theory

Abstract

Citation Formats

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Title: Two-nucleon ${}^{1}S_{0}$ amplitude zero in chiral effective field theory

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Redundant Zeros in the Discrete Energy Spectra in Heisenberg's Theory of Characteristic Matrix
journal, June 1946

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journal, January 1956

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journal, March 1991

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journal, June 1975

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journal, November 2005

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journal, May 2016

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journal, August 2012

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journal, June 2015

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journal, May 2017

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journal, May 2016

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journal, November 1999

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journal, October 2017

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journal, March 2002

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journal, January 1999

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journal, December 2011

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journal, May 2007

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