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Title: Short-range correlation physics at low renormalization group resolution

Abstract

Recent experiments have succeeded in isolating processes for which short-range correlation (SRC) physics is dominant and well accounted for by SRC phenomenology. But an alternative and compelling picture emerges from renormalization group (RG) evolution to low RG resolution. At high RG resolution, SRCs are identified as components in the nuclear wave function with relative pair momenta greater than the Fermi momentum. Scale separation results in wave-function factorization that can be exploited with phenomenologies such as the generalized contact formalism or the low-order correlation operator approximation. Evolution to lower resolution shifts SRC physics from nuclear structure to the reaction operators without changing the measured observables. We show how the features of SRC phenomenology manifested at high RG resolution are cleanly identified at low RG resolution using simple two-body operators and local-density approximations with uncorrelated wave functions, all of which can be systematically generalized. We verify that the experimental consequences to date follow directly at low resolution from well-established properties of nucleon-nucleon interactions such as the tensor force. Thus the RG reconciles the contrasting pictures of the same experiment and shows how to get correct results using wave functions without SRC components. Finally, our demonstration has implications for the analysis of knockoutmore » reactions for which SRC physics is not cleanly isolated.« less

Authors:
ORCiD logo [1];  [2]; ORCiD logo [1]
  1. The Ohio State Univ., Columbus, OH (United States)
  2. Michigan State Univ., East Lansing, MI (United States)
Publication Date:
Research Org.:
Michigan State Univ., East Lansing, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)
OSTI Identifier:
1852488
Grant/Contract Number:  
SC0018083; PHY-1913069; RC107839-OSU; PHY-1713901; PHY-2013047
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. C
Additional Journal Information:
Journal Volume: 104; Journal Issue: 3; 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; lepton induced nuclear reactions; nuclear forces; nucleon-nucleon interactions; renormalization group

Citation Formats

Tropiano, A. J., Bogner, S. K., and Furnstahl, R. J. Short-range correlation physics at low renormalization group resolution. United States: N. p., 2021. Web. doi:10.1103/physrevc.104.034311.
Tropiano, A. J., Bogner, S. K., & Furnstahl, R. J. Short-range correlation physics at low renormalization group resolution. United States. https://doi.org/10.1103/physrevc.104.034311
Tropiano, A. J., Bogner, S. K., and Furnstahl, R. J. Mon . "Short-range correlation physics at low renormalization group resolution". United States. https://doi.org/10.1103/physrevc.104.034311. https://www.osti.gov/servlets/purl/1852488.
@article{osti_1852488,
title = {Short-range correlation physics at low renormalization group resolution},
author = {Tropiano, A. J. and Bogner, S. K. and Furnstahl, R. J.},
abstractNote = {Recent experiments have succeeded in isolating processes for which short-range correlation (SRC) physics is dominant and well accounted for by SRC phenomenology. But an alternative and compelling picture emerges from renormalization group (RG) evolution to low RG resolution. At high RG resolution, SRCs are identified as components in the nuclear wave function with relative pair momenta greater than the Fermi momentum. Scale separation results in wave-function factorization that can be exploited with phenomenologies such as the generalized contact formalism or the low-order correlation operator approximation. Evolution to lower resolution shifts SRC physics from nuclear structure to the reaction operators without changing the measured observables. We show how the features of SRC phenomenology manifested at high RG resolution are cleanly identified at low RG resolution using simple two-body operators and local-density approximations with uncorrelated wave functions, all of which can be systematically generalized. We verify that the experimental consequences to date follow directly at low resolution from well-established properties of nucleon-nucleon interactions such as the tensor force. Thus the RG reconciles the contrasting pictures of the same experiment and shows how to get correct results using wave functions without SRC components. Finally, our demonstration has implications for the analysis of knockout reactions for which SRC physics is not cleanly isolated.},
doi = {10.1103/physrevc.104.034311},
journal = {Physical Review. C},
number = 3,
volume = 104,
place = {United States},
year = {Mon Sep 13 00:00:00 EDT 2021},
month = {Mon Sep 13 00:00:00 EDT 2021}
}

Works referenced in this record:

Towards a model-independent low momentum nucleon–nucleon interaction
journal, December 2003


A Guided Tour of ab initio Nuclear Many-Body Theory
journal, October 2020


Comment on “Measurement of Two- and Three-Nucleon Short-Range Correlation Probabilities in Nuclei”
journal, April 2015


Accurate nucleon-nucleon potential with charge-independence breaking
journal, January 1995

  • Wiringa, R. B.; Stoks, V. G. J.; Schiavilla, R.
  • Physical Review C, Vol. 51, Issue 1
  • DOI: 10.1103/PhysRevC.51.38

Scaling laws for ising models near T c
journal, June 1966


Probing the Repulsive Core of the Nucleon-Nucleon Interaction via the He 4 ( e , e p N ) Triple-Coincidence Reaction
journal, July 2014


Nucleon Knockout by Intermediate Energy Electrons
book, January 2006


Local chiral effective field theory interactions and quantum Monte Carlo applications
journal, November 2014


Short-Range Correlations and the EMC Effect in Effective Field Theory
journal, December 2017


The renormalization group: Critical phenomena and the Kondo problem
journal, October 1975


Low-momentum interactions with smooth cutoffs
journal, March 2007


Probing the core of the strong nuclear interaction
journal, February 2020


Generalized contact formalism analysis of the 4He(e,e′pN) reaction
journal, June 2020


Many-body factorization and position–momentum equivalence of nuclear short-range correlations
journal, November 2020


Ultraviolet Behavior of Non-Abelian Gauge Theories
journal, June 1973


Reliable Perturbative Results for Strong Interactions?
journal, June 1973


Realistic models of pion-exchange three-nucleon interactions
journal, June 2001


The isospin and neutron-to-proton excess dependence of short-range correlations
journal, May 2019


Hartree-Fock-Bogolyubov calculations with the D 1 effective interaction on spherical nuclei
journal, April 1980


Modified structure of protons and neutrons in correlated pairs
journal, February 2019


New applications of renormalization group methods in nuclear physics
journal, November 2013


High-momentum tails from low-momentum effective theories
journal, December 2012


Deuteron electrodisintegration with unitarily evolved potentials
journal, December 2015


The Rashomon Effect and Communication
journal, April 2016


Density matrix expansion for low-momentum interactions
journal, January 2009


New Measurements of High-Momentum Nucleons and Short-Range Structures in Nuclei
journal, February 2012


Deuteron-Pickup Reaction in an Optical-Model Approximation
journal, May 1959


Large momentum part of a strongly correlated Fermi gas
journal, December 2008


Energetics of a strongly correlated Fermi gas
journal, December 2008


Operator evolution from the similarity renormalization group and the Magnus expansion
journal, September 2020


Systematics of intermediate-energy single-nucleon removal cross sections
journal, November 2014


Q UANTUM M ONTE C ARLO C ALCULATIONS OF L IGHT N UCLEI
journal, December 2001


Scale dependence of deuteron electrodisintegration
journal, November 2017


Ab initio path to heavy nuclei
journal, September 2014


12C(e,e'pN) measurements of short range correlations in the tensor-to-scalar interaction transition region
journal, September 2021


Measurement of Two- and Three-Nucleon Short-Range Correlation Probabilities in Nuclei
journal, March 2006


Renormalization of Hamiltonians
journal, December 1993


Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture
journal, November 1971


Three-nucleon interaction in 3-, 4- and ∞-body systems
journal, May 1983


Nucleon and nucleon-pair momentum distributions in A 12 nuclei
journal, February 2014


High-Energy Reactions and the Evidence for Correlations in the Nuclear Ground-State Wave Function
journal, June 1955


Observation of nuclear scaling in the A ( e , e ) reaction at x B > 1
journal, July 2003


Model-independent low momentum nucleon interaction from phase shift equivalence
journal, October 2003


Extracting the number of short-range correlated nucleon pairs from inclusive electron scattering data
journal, March 2021


Stylized features of single-nucleon momentum distributions
journal, March 2015

  • Ryckebusch, Jan; Vanhalst, Maarten; Cosyn, Wim
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 5
  • DOI: 10.1088/0954-3899/42/5/055104

Density-Matrix Expansion for an Effective Nuclear Hamiltonian
journal, May 1972


Ab initio short-range-correlation scaling factors from light to medium-mass nuclei
journal, February 2020

  • Lynn, J. E.; Lonardoni, D.; Carlson, J.
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 47, Issue 4
  • DOI: 10.1088/1361-6471/ab6af7

Generalized nuclear contacts and momentum distributions
journal, November 2015


Operator evolution via the similarity renormalization group: The deuteron
journal, November 2010


Are occupation numbers observable?
journal, April 2002


On High Resolution (e,e′p) Reactions
journal, December 1990


Quantum Electrodynamics at Small Distances
journal, September 1954


Perturbative renormalization group for Hamiltonians
journal, April 1994


Search for three-nucleon short-range correlations in light nuclei
journal, June 2018


Center of Mass Motion of Short-Range Correlated Nucleon Pairs studied via the A ( e , e p p ) Reaction
journal, August 2018


Direct Observation of Proton-Neutron Short-Range Correlation Dominance in Heavy Nuclei
journal, May 2019


Flow equations for Hamiltonians
journal, July 2001


Quenching of single-particle strength from direct reactions with stable and rare-isotope beams
journal, May 2021


Probing Few-Body Nuclear Dynamics via H 3 and He 3 ( e , e p ) pn Cross-Section Measurements
journal, May 2020


Handbook of perturbative QCD
journal, January 1995


Do final-state interactions obscure short-range correlation effects in quasielastic A(e, e′ p) scattering?
journal, October 1996


Probing high-momentum protons and neutrons in neutron-rich nuclei
journal, August 2018


Momentum sharing in imbalanced Fermi systems
journal, October 2014


Variational calculation of the ground state of closed-shell nuclei up to A = 40
journal, August 2017


Flow-equations for Hamiltonians
journal, January 1994


Nucleon-nucleon correlations, short-lived excitations, and the quarks within
journal, November 2017


Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
journal, August 2009


A Skyrme parametrization from subnuclear to neutron star densities Part II. Nuclei far from stabilities
journal, May 1998


The nuclear contacts and short range correlations in nuclei
journal, May 2018


Novel observation of isospin structure of short-range correlations in calcium isotopes
journal, December 2020


Quantum Monte Carlo methods for nuclear physics
journal, September 2015


From low-momentum interactions to nuclear structure
journal, July 2010

  • Bogner, S. K.; Furnstahl, R. J.; Schwenk, A.
  • Progress in Particle and Nuclear Physics, Vol. 65, Issue 1
  • DOI: 10.1016/j.ppnp.2010.03.001

Evolved chiral N N + 3 N Hamiltonians for ab initio nuclear structure calculations
journal, August 2014


Short-range correlations in nuclei with similarity renormalization group transformations
journal, August 2015


Coordinate-space solution of the Skyrme–Hartree–Fock– Bogolyubov equations within spherical symmetry. The program HFBRAD (v1.00)
journal, June 2005