DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: What Hath Weinberg Wrought? Reflections on What Weinberg’s Papers on ‘Nuclear Forces from Chiral Lagrangians’ did and did not Accomplish

Journal Article · · Few-Body Systems

Here, I discuss selected legacies of Weinberg's application of chiral Lagrangians to nuclear physics: (1) the use of the chiral expansion to organize the interaction of pions and photons with a nucleus; (2) the much-debated question of why and how the potential derived from a chiral Lagrangian should be inserted in the Schrodinger equation; (3) the emergence of "pionless EFT" as a tool for diagnosing universal correlations that are present in quantum few-body systems of very different sizes, and, perhaps most important of all, (4) an epistemological shift in what is expected of a nuclear-physics calculation.

Research Organization:
Ohio Univ., Athens, OH (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
FG02-93ER40756
OSTI ID:
1872776
Journal Information:
Few-Body Systems, Journal Name: Few-Body Systems Journal Issue: 1 Vol. 63; ISSN 0177-7963
Publisher:
SpringerCopyright Statement
Country of Publication:
United States
Language:
English

References (94)

The Classification of Diagrams in Perturbation Theory journal June 1995
Covariant Four-Dimensional Scattering Equations for theNN−πNNSystem journal April 1996
Nonperturbative Regularization and Renormalization: Simple Examples from Nonrelativistic Quantum Mechanics journal March 1998
Effective Field Theory Analysis of Three-Boson Systems at Next-To-Next-To-Leading Order journal April 2013
Weinberg’s Proposal of 1990: A Very Personal View journal April 2021
A Brief Account of Steven Weinberg’s Legacy in ab initio  Many-Body Theory: Special Issue in Few-Body Systems: Celebrating 30 Years of Steven Weinberg’s Papers on Nuclear Forces from Chiral Lagrangians journal October 2021
Dimensional Power Counting in Nuclei journal December 1997
Charge symmetry as a constraint on off-shell effects in the three-nucleon system journal March 1975
Effective lagrangians for bound state problems in QED, QCD, and other field theories journal February 1986
Nuclear forces from chiral lagrangians journal November 1990
Three-body interactions among nucleons and pions journal November 1992
Triton calculations with the new Nijmegen potentials journal July 1993
Consistency of the low-energy three-nucleon observables and the separable interaction model journal January 1968
Exchange effects in photon scattering off the deuteron journal November 1983
Three-nucleon interaction in 3-, 4- and ∞-body systems journal May 1983
π- and ϱ-exchange three-nucleon potentials (I) journal May 1985
Effective chiral lagrangians for nucleon-pion interactions and nuclear forces journal September 1991
Nucleon-nucleon scattering from effective field theory journal November 1996
Proton–proton fusion in effective field theory to fifth order journal November 2001
Higher-order calculations of electron–deuteron scattering in nuclear effective theory journal August 2003
A new expansion for nucleon-nucleon interactions journal April 1998
EFT and NN scattering journal June 1998
A renormalisation-group treatment of two-body scattering journal October 1999
Deuteron Compton scattering below pion photoproduction threshold journal July 2000
Effective theory of the triton journal August 2000
NNLO corrections to nucleon–nucleon scattering and perturbative pions journal September 2000
Precision calculation of cross section for big-bang nucleosynthesis journal October 2000
Towards a perturbative theory of nuclear forces journal March 2002
Low energy expansion in the three body system to all orders and the triton channel journal February 2003
The S-wave pion–nucleon scattering lengths from pionic atoms using effective field theory journal June 2003
The potential of effective field theory in NN scattering journal March 1998
Effective field theory of short-range forces journal January 1999
The power of effective field theories in nuclei: The deuteron, NN scattering and electroweak processes journal February 1999
Nucleon-nucleon effective field theory without pions journal July 1999
Compton scattering on the deuteron in baryon chiral perturbation theory journal September 1999
Deuteron electromagnetic properties and the viability of effective field theory methods in the two-nucleon system journal March 2000
Two-nucleon systems from effective field theory journal November 1998
Compton scattering on the proton, neutron, and deuteron in chiral perturbation theory to journal January 2005
The two-nucleon system at next-to-next-to-next-to-leading order journal January 2005
Explicit degrees of freedom in Compton scattering off the deuteron journal February 2005
Precision calculation of threshold scattering, πN scattering lengths, and the GMO sum rule journal December 2011
On the correlation between the binding energies of the triton and the α-particle journal February 2005
Precision calculation of the π−d scattering length and its impact on threshold πN scattering journal January 2011
Halo effective field theory constrains the solar 7Be + p → 8B + γ rate journal December 2015
Reconciling threshold and subthreshold expansions for pion–nucleon scattering journal July 2017
Model-independent low momentum nucleon interaction from phase shift equivalence journal October 2003
Universality in few-body systems with large scattering length journal June 2006
Using Effective Field Theory to analyse low-energy Compton scattering data from protons and light nuclei journal October 2012
Evidence for Efimov quantum states in an ultracold gas of caesium atoms journal March 2006
What Holds the Nucleus Together? journal September 1953
Chiral lagrangians and few-nucleon forces conference January 1995
Few-body physics—then and now conference January 1995
Signatures of three-nucleon interactions in few-nucleon systems journal December 2011
Chiral effective theory predictions for deuteron form factor ratios at low Q 2 journal January 2007
Effective field theory description of halo nuclei journal September 2017
Get on the BAND Wagon: a Bayesian framework for quantifying model uncertainties in nuclear dynamics journal May 2021
Accurate bulk properties of nuclei from A = 2 to ∞ from potentials with Δ isobars journal November 2020
High-accuracy calculation of the deuteron charge and quadrupole form factors in chiral effective field theory journal February 2021
Light nuclei with semilocal momentum-space regularized chiral interactions up to third order journal May 2021
Few-nucleon forces from chiral Lagrangians journal June 1994
Accurate nucleon-nucleon potential with charge-independence breaking journal January 1995
Erratum: Solving the four-dimensional NN - π NN equations for scalars below meson-production threshold [Phys. Rev. C 54, 1542 (1996)] journal June 1997
Regularization, renormalization, and range: The nucleon-nucleon interaction from effective field theory journal January 1997
Weak capture of protons by protons journal August 1998
High-precision, charge-dependent Bonn nucleon-nucleon potential journal January 2001
Renormalization of N N scattering with one pion exchange and energy dependent boundary conditions journal October 2004
Renormalization of the deuteron with one pion exchange journal November 2005
Renormalization of one-pion exchange and power counting journal November 2005
Power counting with one-pion exchange journal July 2006
Similarity renormalization group for nucleon-nucleon interactions journal June 2007
Subtractive renormalization of the NN scattering amplitude at leading order in chiral effective theory journal January 2008
Renormalizing chiral nuclear forces: A case study of 3 P 0 journal November 2011
Bound states and power counting in effective field theories journal April 1997
Pion interactions in the X ( 3872 ) journal August 2007
Power counting and perturbative one pion exchange in heavy meson molecules journal June 2012
Evidence for Universal Four-Body States Tied to an Efimov Trimer journal April 2009
Effects of Three-Nucleon Forces and Two-Body Currents on Gamow-Teller Strengths journal December 2014
Four-Body Scale in Universal Few-Boson Systems journal April 2019
Extraction of the Neutron Charge Radius from a Precision Calculation of the Deuteron Structure Radius journal February 2020
Ab Initio Limits of Atomic Nuclei journal January 2021
Quantum Monte Carlo Calculations of A ≤ 6 Nuclei journal May 1995
Renormalization of the Three-Body System with Short-Range Interactions journal January 1999
Three-body Recombination in Bose Gases with Large Scattering Length journal July 2000
Renormalizing the Lippmann-Schwinger equation for the one-pion exchange potential journal May 2003
Universal properties of the four-body system with large scattering length journal March 2007
The nucleon-nucleon potential beyond the static approximation journal April 2007
The multiple-scattering series in pion-deuteron scattering and the nucleon-nucleon potential: perspectives from effective field theory journal May 2012
Towards high-order calculations of three-nucleon scattering in chiral effective field theory journal March 2020
Electromagnetic Structure of Two- and Three-Nucleon Systems: An Effective Field Theory Description journal October 2016
Efimov States in Nuclear and Particle Physics journal November 2010
More effective theory of nuclear forces conference February 2010
Recent results in chiral effective field theory for the NN system conference July 2013
High-Precision Nuclear Forces From Chiral EFT: State-of-the-Art, Challenges, and Outlook journal April 2020
Weak Transitions in Light Nuclei journal November 2020