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

Abstract

We present a new rearrangement of short-range interactions in the 1S 0 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:
 [1];  [1];  [2];  [3]
  1. Univ. Paris-Sud, Univ. Paris-Saclay, Orsay (France)
  2. Sichuan Univ., Chengdu (China)
  3. Univ. Paris-Sud, Univ. Paris-Saclay, Orsay (France); Univ. of Arizona, Tucson, AZ (United States)
Publication Date:
Research Org.:
Univ. of Arizona, Tucson, AZ (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
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.
Sanchez, M. Sanchez, Yang, C. -J., Long, Bingwei, & van Kolck, U. Two-nucleon S01 amplitude zero in chiral effective field theory. United States. doi:10.1103/PhysRevC.97.024001.
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. doi:10.1103/PhysRevC.97.024001. https://www.osti.gov/servlets/purl/1419472.
@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 = {2018},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 3 works
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Figures / Tables:

Fig. 1 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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Works referenced in this record:

On the correlation between the binding energies of the triton and the α-particle
journal, February 2005


Renormalization of chiral two-pion exchange NN interactions: Momentum space versus coordinate space
journal, April 2008


Renormalization of N N scattering with one pion exchange and energy dependent boundary conditions
journal, October 2004


A Padé-Aided Analysis of Nonperturbative NN Scattering in 1 S 0 Channel
journal, April 2007


Low's Scattering Equation for the Charged and Neutral Scalar Theories
journal, January 1956


Exchange currents from chiral Lagrangians
journal, March 1991


New determination of the neutron-proton scattering amplitude and precise measurements of the scattering amplitudes on carbon, chlorine, fluorine and bromine
journal, June 1975

  • Koester, L.; Nistler, W.
  • Zeitschrift f�r Physik A: Atoms and Nuclei, Vol. 272, Issue 2
  • DOI: 10.1007/BF01408146

Renormalization of one-pion exchange and power counting
journal, November 2005


Power counting for nuclear forces in chiral effective field theory
journal, May 2016


Infinite-Cutoff Renormalization of the Chiral Nucleon–Nucleon Interaction up to N3LO
journal, August 2012


Renormalization schemes and the range of two-nucleon effective field theory
journal, May 1999


Renormalization of the NN interaction with a chiral two-pion-exchange potential: Central phases and the deuteron
journal, November 2006


Chiral lagrangians and nuclear forces
journal, October 1992


A higher-order calculation of np scattering in cut-off effective field theory
journal, January 2000


1S0 nucleon-nucleon scattering in the modified Weinberg approach
journal, June 2015


Remarks on the origin of Castillejo-Dalitz-Dyson poles
journal, July 2010


Nuclear Physics Around the Unitarity Limit
journal, May 2017


Construction of high-quality NN potential models
journal, June 1994

  • Stoks, V. G. J.; Klomp, R. A. M.; Terheggen, C. P. F.
  • Physical Review C, Vol. 49, Issue 6
  • DOI: 10.1103/PhysRevC.49.2950

Systematic power counting in cutoff effective field theories for nucleon-nucleon interactions and the equivalence with PDS
journal, November 1998


Subtractive renormalization of the NN scattering amplitude at leading order in chiral effective theory
journal, January 2008


Two-nucleon potential from chiral Lagrangians
journal, May 1996


Neutron-proton scattering at a few MeV
journal, April 1974


Generalized dimensional analysis
journal, January 1993


Improved convergence of chiral effective field theory for 1 S 0 of NN scattering
journal, July 2013


Renormalization of the NN interaction with a chiral two-pion exchange potential. II. Noncentral phases
journal, December 2006


Effective field theory of short-range forces
journal, January 1999


E FFECTIVE F IELD T HEORY FOR F EW -N UCLEON S YSTEMS
journal, December 2002


Effective range corrections from effective field theory with dibaryon fields and perturbative pions
journal, August 2012


Effective chiral lagrangians for nucleon-pion interactions and nuclear forces
journal, September 1991


Short-range nuclear forces in singlet channels
journal, August 2012


More effective field theory for non-relativistic scattering
journal, June 1997


Subtractive renormalization of the chiral potentials up to next-to-next-to-leading order in higher NN partial waves
journal, September 2009


Power counting and renormalization group invariance in the subtracted kernel method for the two-nucleon system
journal, August 2012


Effective chiral theory of nucleon–nucleon scattering
journal, September 2000


Chiral potentials, perturbation theory and the 1 S 0 channel of NN scattering
journal, September 2008

  • Shukla, Deepshikha; Phillips, Daniel R.; Mortenson, Eric
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 35, Issue 11
  • DOI: 10.1088/0954-3899/35/11/115009

NNLO corrections to nucleon–nucleon scattering and perturbative pions
journal, September 2000


Renormalization of the one-pion-exchange interaction
journal, July 1999


Effective theory of the triton
journal, August 2000


A new expansion for nucleon-nucleon interactions
journal, April 1998


Nuclear forces from chiral lagrangians
journal, November 1990


Partial-wave analysis of all nucleon-nucleon scattering data below 350 MeV
journal, August 1993

  • Stoks, V. G. J.; Klomp, R. A. M.; Rentmeester, M. C. M.
  • Physical Review C, Vol. 48, Issue 2
  • DOI: 10.1103/PhysRevC.48.792

Chiral effective field theory and nuclear forces
journal, June 2011


Renormalizing chiral nuclear forces: Triplet channels
journal, March 2012


Power counting and Wilsonian renormalization in nuclear effective field theory
journal, May 2016


Subtractive renormalization of the NN interaction in chiral effective theory up to next-to-next-to-leading order: S waves
journal, October 2009


Rearranging pionless effective field theory
journal, November 2001


Nucleon-nucleon scattering from effective field theory
journal, November 1996


Renormalization of singlet NN-scattering with one pion exchange and boundary conditions
journal, February 2004


No-core shell model in an effective-field-theory framework
journal, September 2007


Modern theory of nuclear forces
journal, December 2009


Long and short of nuclear effective field theory expansions
journal, November 1999


Ground-state properties of 4 He and 16 O extrapolated from lattice QCD with pionless EFT
journal, September 2017


The N / D method with non-perturbative left-hand-cut discontinuity and the S 0 1 NN partial wave
journal, October 2017


Fully perturbative calculation of n d scattering to next-to-next-to-leading order
journal, October 2013


Towards a perturbative theory of nuclear forces
journal, March 2002


Leading order relativistic chiral nucleon-nucleon interaction
journal, January 2018


Recursive renormalization of the singlet one-pion-exchange plus point-like interactions
journal, August 2005


Two-nucleon systems from effective field theory
journal, November 1998


Removing pions from two-nucleon effective field theory
journal, January 1999


Power counting with one-pion exchange
journal, July 2006


On a General Condition of Heisenberg for the S Matrix
journal, February 1947


Effective theory of 3 H and 3 He
journal, April 2016

  • König, Sebastian; Grießhammer, Harald W.; Hammer, H-W
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 43, Issue 5
  • DOI: 10.1088/0954-3899/43/5/055106

Perturbative renormalizability of chiral two-pion exchange in nucleon-nucleon scattering: P and D waves
journal, December 2011


Power counting in peripheral partial waves: The singlet channels
journal, May 2017


Deconstructing 1S0 nucleon-nucleon scattering
journal, October 2010


Chiral quarks and the non-relativistic quark model
journal, March 1984


Power Counting of Contact-Range Currents in Effective Field Theory
journal, February 2015


Improved convergence in the three-nucleon system at very low energies
journal, November 2004


Nucleon–nucleon interactions from effective field theory
journal, September 2003


Effective field theory with dibaryon degrees of freedom
journal, August 2008


Nucleon-nucleon scattering and effective field theory: including pions non-perturbatively
journal, September 1999


Perturbative renormalizability of chiral two-pion exchange in nucleon-nucleon scattering
journal, February 2011


Renormalizing chiral nuclear forces: A case study of 3 P 0
journal, November 2011


The neutron-deuteron scattering lengths
journal, May 1967


Triton binding energy and neutron-deuteron scattering up to next-to-leading order in chiral effective field theory
journal, August 2017


    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.