Large-Nc relationships among two-derivative pionless effective field theory couplings

Schindler, Matthias R.; Singh, Hersh; Springer, Roxanne P.

doi:10.1103/physrevc.98.044001

Title: Large- $N_{c}$ relationships among two-derivative pionless effective field theory couplings

Abstract

We analyze two-derivative two-nucleon interactions in a combined pionless effective field theory and large-N_c expansion. At leading order in the large-N_c expansion, relationships among low-energy constants emerge. We find these to be consistent with experiment. However, it is critical to correctly address the subtraction-point dependence of the low-energy constants. Here, these results provide additional confidence that the dual-expansion procedure is useful for analyzing low-energy few-body observables.

Authors:

Schindler, Matthias R. ^[1]; Singh, Hersh ^[2]; Springer, Roxanne P. ^[2]

Univ. of South Carolina, Columbia, SC (United States)
Duke Univ., Durham, NC (United States)

Publication Date:: Fri Oct 12 00:00:00 EDT 2018

Research Org.:: Duke Univ., Durham, NC (United States); Univ. of South Carolina, Columbia, SC (United States)

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

OSTI Identifier:: 1609643

Alternate Identifier(s):: OSTI ID: 1477575

Grant/Contract Number:: FG02-05ER41368; SC0010300

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C

Additional Journal Information:: Journal Volume: 98; Journal Issue: 4; Journal ID: ISSN 2469-9985

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; physics; effective field theory; few-body systems; nucleon-nucleon interactions; quantum chromodynamics

Citation Formats


                    Schindler, Matthias R., Singh, Hersh, and Springer, Roxanne P. Large-Nc relationships among two-derivative pionless effective field theory couplings.  United States: N. p., 2018. 
Web.  doi:10.1103/physrevc.98.044001.

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                    Schindler, Matthias R., Singh, Hersh, & Springer, Roxanne P. Large-Nc relationships among two-derivative pionless effective field theory couplings.  United States.  https://doi.org/10.1103/physrevc.98.044001

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                    Schindler, Matthias R., Singh, Hersh, and Springer, Roxanne P. Fri .  
"Large-Nc relationships among two-derivative pionless effective field theory couplings".  United States.  https://doi.org/10.1103/physrevc.98.044001.  https://www.osti.gov/servlets/purl/1609643.

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@article{osti_1609643,

  title        = {Large-Nc relationships among two-derivative pionless effective field theory couplings},

  author       = {Schindler, Matthias R. and Singh, Hersh and Springer, Roxanne P.},

  abstractNote = {We analyze two-derivative two-nucleon interactions in a combined pionless effective field theory and large-Nc expansion. At leading order in the large-Nc expansion, relationships among low-energy constants emerge. We find these to be consistent with experiment. However, it is critical to correctly address the subtraction-point dependence of the low-energy constants. Here, these results provide additional confidence that the dual-expansion procedure is useful for analyzing low-energy few-body observables.},

  doi          = {10.1103/physrevc.98.044001},

  journal      = {Physical Review C},

  number       = 4,

  volume       = 98,

  place        = {United States},

  year         = {Fri Oct 12 00:00:00 EDT 2018},

  month        = {Fri Oct 12 00:00:00 EDT 2018}

}

Copy to clipboard

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Works referenced in this record:

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Title: Large- N c relationships among two-derivative pionless effective field theory couplings

Abstract

Citation Formats

Nucleon-nucleon effective field theory without pions journal, July 1999

Neutron-proton effective range parameters and zero-energy shape dependence journal, April 2006

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

Nuclear forces from chiral lagrangians journal, November 1990

Three-nucleon forces in the 1 / N c expansion journal, September 2013

Chiral effective field theory and nuclear forces journal, June 2011

On the Neutron-Proton Force journal, July 1948

Isoscalar M1 and E2 amplitudes in np→dγ journal, October 1999

Spin-flavor structure of large N c baryons journal, April 1995

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

Erratum: 1 N c expansion for baryons journal, March 1995

Theory of the Effective Range in Nuclear Scattering journal, July 1949

Effective field theory of nuclear forces journal, January 1999

Precision calculation of cross section for big-bang nucleosynthesis journal, October 2000

The Effective Range of Nuclear Forces II. Photo-Disintegration of the Deuteron journal, March 1950

Modern theory of nuclear forces journal, December 2009

Dynamical interpretation of the nucleon–nucleon interaction and exchange currents in the large NC limit journal, November 2002

Wigner Symmetry in the Limit of Large Scattering Lengths journal, August 1999

Nucleon-nucleon interaction and large N c QCD journal, March 2002

Wigner symmetry, large N c , and renormalized one-boson exchange potentials journal, November 2008

Large- N c limit reduces the number of independent few-body parity-violating low-energy constants in pionless effective field theory journal, February 2016

The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties journal, October 2016

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

1 N c expansion for baryons journal, May 1994

Uncertainty quantification of effective nuclear interactions journal, May 2016

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

The three-nucleon continuum: achievements, challenges and applications journal, September 1996

Resolving the large- N c nuclear potential puzzle journal, December 2002

Nucleon-nucleon potential in the 1/Nc expansion journal, July 1997

Two-nucleon potential from chiral Lagrangians journal, May 1996

Wilsonian renormalization group versus subtractive renormalization in effective field theories for nucleon–nucleon scattering journal, December 2017

Serber symmetry, large N c , and Yukawa-like one-boson exchange potentials journal, July 2009

Error analysis of nuclear forces and effective interactions journal, February 2015

A planar diagram theory for strong interactions journal, April 1974

Nuclear forces from chiral Lagrangians using the method of unitary transformation (I): Formalism journal, July 1998

n d scattering and the A y puzzle to next-to-next-to-next-to-leading order journal, May 2016

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

The spin-flavor dependence of nuclear forces from large-N QCD journal, January 1996

Three-nucleon force at large distances: Insights from chiral effective field theory and the large-Nc expansion journal, March 2015

ΔΔ intermediate state in 1 S 0 NN scattering from effective field theory journal, May 1997

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

Low-Energy Universality in Atomic and Nuclear Physics journal, August 2009

Low Scale Saturation of Effective NN Interactions and Their Symmetries journal, June 2016

Relativity constraints on the two-nucleon contact interaction journal, March 2010

Baryons in the expansion journal, November 1979

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

On the Analysis of Nucleon-Nucleon Scattering Experiments journal, June 1949

Title: Large- $N_{c}$ relationships among two-derivative pionless effective field theory couplings

Nucleon-nucleon effective field theory without pions
journal, July 1999

Neutron-proton effective range parameters and zero-energy shape dependence
journal, April 2006

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

Nuclear forces from chiral lagrangians
journal, November 1990

Three-nucleon forces in the $1 / N_{c}$ expansion
journal, September 2013

Chiral effective field theory and nuclear forces
journal, June 2011

On the Neutron-Proton Force
journal, July 1948

Isoscalar M1 and E2 amplitudes in np→dγ
journal, October 1999

Spin-flavor structure of large $N_{c}$ baryons
journal, April 1995

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

Erratum: $\frac{1}{N_{c}}$ expansion for baryons
journal, March 1995

Theory of the Effective Range in Nuclear Scattering
journal, July 1949

Effective field theory of nuclear forces
journal, January 1999

Precision calculation of cross section for big-bang nucleosynthesis
journal, October 2000

The Effective Range of Nuclear Forces II. Photo-Disintegration of the Deuteron
journal, March 1950

Modern theory of nuclear forces
journal, December 2009

Dynamical interpretation of the nucleon–nucleon interaction and exchange currents in the large NC limit
journal, November 2002

Wigner Symmetry in the Limit of Large Scattering Lengths
journal, August 1999

Nucleon-nucleon interaction and large $N_{c}$ QCD
journal, March 2002

Wigner symmetry, large $N_{c}$ , and renormalized one-boson exchange potentials
journal, November 2008

Large- $N_{c}$ limit reduces the number of independent few-body parity-violating low-energy constants in pionless effective field theory
journal, February 2016

The low-energy structure of the nucleon–nucleon interaction: statistical versus systematic uncertainties
journal, October 2016

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

$\frac{1}{N_{c}}$ expansion for baryons
journal, May 1994

Uncertainty quantification of effective nuclear interactions
journal, May 2016

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

The three-nucleon continuum: achievements, challenges and applications
journal, September 1996

Resolving the large- $N_{c}$ nuclear potential puzzle
journal, December 2002

Nucleon-nucleon potential in the 1/Nc expansion
journal, July 1997

Two-nucleon potential from chiral Lagrangians
journal, May 1996

Wilsonian renormalization group versus subtractive renormalization in effective field theories for nucleon–nucleon scattering
journal, December 2017

Serber symmetry, large $N_{c}$ , and Yukawa-like one-boson exchange potentials
journal, July 2009

Error analysis of nuclear forces and effective interactions
journal, February 2015

A planar diagram theory for strong interactions
journal, April 1974

Nuclear forces from chiral Lagrangians using the method of unitary transformation (I): Formalism
journal, July 1998

$n d$ scattering and the $A_{y}$ puzzle to next-to-next-to-next-to-leading order
journal, May 2016

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

The spin-flavor dependence of nuclear forces from large-N QCD
journal, January 1996

Three-nucleon force at large distances: Insights from chiral effective field theory and the large-Nc expansion
journal, March 2015

ΔΔ intermediate state in $^{1} S_{0} NN$ scattering from effective field theory
journal, May 1997

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

Low-Energy Universality in Atomic and Nuclear Physics
journal, August 2009

Low Scale Saturation of Effective NN Interactions and Their Symmetries
journal, June 2016

Relativity constraints on the two-nucleon contact interaction
journal, March 2010

Baryons in the expansion
journal, November 1979

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

On the Analysis of Nucleon-Nucleon Scattering Experiments
journal, June 1949