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Title: Short-Range Correlations and the EMC Effect in Effective Field Theory

Abstract

We propose that the empirical linear relation between the magnitude of the EMC effect in deep inelastic scattering on nuclei and the short-range correlation scaling factor a 2 extracted from high-energy quasielastic scattering at x ≥ 1 is a natural consequence of scale separation and derive the relationship using effective field theory. While the scaling factor a 2 is a ratio of nuclear matrix elements that individually depend on the calculational scheme, we show that the ratio is independent of this choice. We perform Green’s function Monte Carlo calculations with both chiral and Argonne-Urbana potentials to verify this and determine the scaling factors for light nuclei. The resulting values for 3He and 4He are in good agreement with experimental values. We additionally present results for 9Be and 12C extracted from variational Monte Carlo calculations.

Authors:
 [1];  [2];  [3];  [4]
  1. National Taiwan Univ., Taipei (Taiwan); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  3. Technische Univ. Darmstadt (Germany). Inst. fur Kernphysik; GSI-Helmholtzzentrum fur Schwerionenforschung, Darmstadt (Germany)
  4. Technische Univ. Darmstadt (Germany). Inst. fur Kernphysik; GSI-Helmholtzzentrum fur Schwerionenforschung, Darmstadt (Germany); Max Planck Inst. fur Kernphysik, Heidelberg (Germany)
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Univ. of California, Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1505595
Alternate Identifier(s):
OSTI ID: 1416437
Grant/Contract Number:  
SC0010495; SC0011090; AC02-05CH11231
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 119; Journal Issue: 26; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Chen, Jiunn-Wei, Detmold, William, Lynn, Joel E., and Schwenk, Achim. Short-Range Correlations and the EMC Effect in Effective Field Theory. United States: N. p., 2017. Web. doi:10.1103/physrevlett.119.262502.
Chen, Jiunn-Wei, Detmold, William, Lynn, Joel E., & Schwenk, Achim. Short-Range Correlations and the EMC Effect in Effective Field Theory. United States. doi:10.1103/physrevlett.119.262502.
Chen, Jiunn-Wei, Detmold, William, Lynn, Joel E., and Schwenk, Achim. Fri . "Short-Range Correlations and the EMC Effect in Effective Field Theory". United States. doi:10.1103/physrevlett.119.262502. https://www.osti.gov/servlets/purl/1505595.
@article{osti_1505595,
title = {Short-Range Correlations and the EMC Effect in Effective Field Theory},
author = {Chen, Jiunn-Wei and Detmold, William and Lynn, Joel E. and Schwenk, Achim},
abstractNote = {We propose that the empirical linear relation between the magnitude of the EMC effect in deep inelastic scattering on nuclei and the short-range correlation scaling factor a2 extracted from high-energy quasielastic scattering at x ≥ 1 is a natural consequence of scale separation and derive the relationship using effective field theory. While the scaling factor a2 is a ratio of nuclear matrix elements that individually depend on the calculational scheme, we show that the ratio is independent of this choice. We perform Green’s function Monte Carlo calculations with both chiral and Argonne-Urbana potentials to verify this and determine the scaling factors for light nuclei. The resulting values for 3He and 4He are in good agreement with experimental values. We additionally present results for 9Be and 12C extracted from variational Monte Carlo calculations.},
doi = {10.1103/physrevlett.119.262502},
journal = {Physical Review Letters},
issn = {0031-9007},
number = 26,
volume = 119,
place = {United States},
year = {2017},
month = {12}
}

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

Citation Metrics:
Cited by: 6 works
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Figures / Tables:

FIG. 1 FIG. 1: Scaled two-body distribution function ρ2.1(A, r)/A for A = 2, 3, 4 nuclei as a function of relative separation r for chiral interactions at N2LO with two different cutoffs (left panel) and for the AV18 + UIX potentials (right panel). In the left panel, the darker (lighter) pointsmore » are for R0 = 1.0 fm (R0 = 1.2 fm). A = 2 is solved exactly. For A = 3, 4 the error bars visible at small r are GFMC statistical uncertainties. The variation of the shortdistance behavior of the distributions shows clearly their scale and scheme dependence.« less

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