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Title: The Problem of Renormalization of Chiral Nuclear Forces

Authors:
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1617244
Resource Type:
Published Article
Journal Name:
Frontiers in Physics
Additional Journal Information:
Journal Name: Frontiers in Physics Journal Volume: 8; Journal ID: ISSN 2296-424X
Publisher:
Frontiers Media SA
Country of Publication:
Switzerland
Language:
English

Citation Formats

van Kolck, U. The Problem of Renormalization of Chiral Nuclear Forces. Switzerland: N. p., 2020. Web. doi:10.3389/fphy.2020.00079.
van Kolck, U. The Problem of Renormalization of Chiral Nuclear Forces. Switzerland. doi:https://doi.org/10.3389/fphy.2020.00079
van Kolck, U. Tue . "The Problem of Renormalization of Chiral Nuclear Forces". Switzerland. doi:https://doi.org/10.3389/fphy.2020.00079.
@article{osti_1617244,
title = {The Problem of Renormalization of Chiral Nuclear Forces},
author = {van Kolck, U.},
abstractNote = {},
doi = {10.3389/fphy.2020.00079},
journal = {Frontiers in Physics},
number = ,
volume = 8,
place = {Switzerland},
year = {2020},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: https://doi.org/10.3389/fphy.2020.00079

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Works referenced in this record:

Assessing theory errors using residual cutoff dependence
conference, June 2016

  • Grieshammer, Harald
  • Proceedings of The 8th International Workshop on Chiral Dynamics — PoS(CD15)
  • DOI: 10.22323/1.253.0104

Deconstructing triplet nucleon-nucleon scattering
journal, September 2007


An effective field theory approach to two trapped particles
journal, August 2010


Anomaly in conformal quantum mechanics: From molecular physics to black holes
journal, December 2003


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


Renormalization of the deuteron with one pion exchange
journal, November 2005


Few-nucleon forces from chiral Lagrangians
journal, June 1994


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


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

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


A Field Theory of Weak Interactions. I
journal, September 1963


Renormalization group analysis of boundary conditions in potential scattering
journal, May 2008


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


The Scattering of Slow Neutrons by Bound Protons. I. Methods of Calculation
journal, February 1947


Singular Potentials
journal, January 1971

  • Frank, William M.; Land, David J.; Spector, Richard M.
  • Reviews of Modern Physics, Vol. 43, Issue 1
  • DOI: 10.1103/RevModPhys.43.36

Radiative Corrections to Nuclear Forces in the Pseudoscalar Meson Theory
journal, October 1949


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


Peripheral NN-scattering: role of delta-excitation, correlated two-pion and vector meson exchange
journal, July 1998


Two-nucleon S 0 1 amplitude zero in chiral effective field theory
journal, February 2018


A Field Theory of Weak Interactions. II
journal, January 1964


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


Implications of Efimov physics for the description of three and four nucleons in chiral effective field theory
journal, February 2017


Unitarity and Discrete Scale Invariance
journal, March 2017


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


Perturbative N N scattering in chiral effective field theory
journal, February 2019


On the limit cycle for the 1/r2 potential in momentum space
journal, February 2006


Effective theory of the triton
journal, August 2000


Nucleon-deuteron scattering from an effective field theory
journal, June 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 the Lippmann-Schwinger equation for the one-pion exchange potential
journal, May 2003


Renormalizing chiral nuclear forces: Triplet channels
journal, March 2012


Renormalization of chiral two-pion exchange NN interactions with Δ excitations: Correlations in the partial-wave expansion
journal, April 2011


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


Regularization, renormalization and “peratization” in effective field theory for two nucleons
journal, July 2009


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


How short is too short? Constraining zero-range interactions in nucleon-nucleon scattering
journal, January 1997


Modern theory of nuclear forces
journal, December 2009


General form of the quantum-defect theory. II
journal, November 1982


Δ isobars and nuclear saturation
journal, February 2018


Towards a perturbative theory of nuclear forces
journal, March 2002


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


Renormalization-group limit cycle for the 1 r 2 potential
journal, November 2004


Power counting with one-pion exchange
journal, July 2006


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


Singular inverse square potential, limit cycles, and self-adjoint extensions
journal, April 2003


Dimensional Power Counting in Nuclei
journal, December 1997


Renormalization of the singular attractive 1 r 4 potential
journal, February 2005


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


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


Singular potentials and limit cycles
journal, September 2001


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


Peripheral nucleon-nucleon phase shifts and chiral symmetry
journal, November 1997


Large-cutoff behavior of local chiral effective field theory interactions
journal, August 2018


On the Renormalization of the One–Pion Exchange Potential and the Consistency of Weinberg’s Power Counting
journal, October 2012


Energy levels arising from resonant two-body forces in a three-body system
journal, December 1970


Meson Physics
journal, December 1952


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


The three-boson system with short-range interactions
journal, February 1999


Renormalization of the Three-Body System with Short-Range Interactions
journal, January 1999


Universality in few-body systems with large scattering length
journal, June 2006


Pion Theory of Three-Body Forces
journal, March 1957

  • Fujita, Jun-ichi; Miyazawa, Hironari
  • Progress of Theoretical Physics, Vol. 17, Issue 3
  • DOI: 10.1143/PTP.17.360

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


Renormalization in conformal quantum mechanics
journal, September 2005


Nuclear Physics Around the Unitarity Limit
journal, May 2017


Two-Nucleon Potential from the Cut-Off Yukawa Theory
journal, November 1955


Singular Potentials
journal, December 1950


Two-nucleon potential from chiral Lagrangians
journal, May 1996


Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions
journal, November 2017


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


Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory
journal, October 2003


Chiral perturbation theory to one loop
journal, November 1984


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


Limit cycles in renormalization group dynamics
journal, February 2014


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


The potential of effective field theory in NN scattering
journal, March 1998


NN scattering: Chiral predictions for asymptotic observables
journal, April 1998


The renormalization group and nuclear forces
journal, July 2011

  • Birse, Michael C.
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 369, Issue 1946
  • DOI: 10.1098/rsta.2010.0381

How (not) to renormalize integral equations with singular potentials in effective field theory
journal, November 2018


Three-body interactions among nucleons and pions
journal, November 1992


Nonperturbative Regularization and Renormalization: Simple Examples from Nonrelativistic Quantum Mechanics
journal, March 1998

  • Phillips, Daniel R.; Beane, Silas R.; Cohen, Thomas D.
  • Annals of Physics, Vol. 263, Issue 2
  • DOI: 10.1006/aphy.1997.5771

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


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


Chiral Three-Nucleon Interactions in Light Nuclei, Neutron- α Scattering, and Neutron Matter
journal, February 2016


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


Rearranging pionless effective field theory
journal, November 2001


Renormalization of a finite-range inverse-cube potential
journal, November 2019


Efimov physics from a renormalization group perspective
journal, July 2011

  • Hammer, Hans-Werner; Platter, Lucas
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 369, Issue 1946
  • DOI: 10.1098/rsta.2011.0001

Reply to the Comment by Manuel Pavon Valderrama on “How (not) to renormalize integral equations with singular potentials in effective field theory”
journal, April 2019


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


?Fall to the center? in quantum mechanics
journal, July 1970

  • Perelomov, A. M.; Popov, V. S.
  • Theoretical and Mathematical Physics, Vol. 4, Issue 1
  • DOI: 10.1007/BF01246666

Renormalization of singular potentials and power counting
journal, June 2008


Singular inverse-square potential: Renormalization and self-adjoint extensions for medium to weak coupling
journal, February 2014


Nucleon-nucleon potential from an effective chiral Lagrangian
journal, March 1994


Some remarks on singular attractive potentials
journal, June 1968


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


Lower Limit for the Energy Derivative of the Scattering Phase Shift
journal, April 1955


Chiral Interactions up to Next-to-Next-to-Next-to-Leading Order and Nuclear Saturation
journal, January 2019


Historical perspective and future prospects for nuclear interactions
journal, November 2017


Δ effects in pion-nucleon scattering and the strength of the two-pion-exchange three-nucleon interaction
journal, June 2005


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


Deconstructing 1S0 nucleon-nucleon scattering
journal, October 2010


The Renormalization of Meson Theories
journal, October 1951


Phenomenological Lagrangians
journal, April 1979


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


Two-nucleon scattering in a modified Weinberg approach with a symmetry-preserving regularization
journal, September 2016


Renormalization of the leading-order chiral nucleon-nucleon interaction and bulk properties of nuclear matter
journal, February 2010


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


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