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

Jiunn-Wei Chen1,2, William Detmold2, Joel E Lynn3,4

  • 1Department of Physics, CTS and LeCosPA, National Taiwan University, Taipei 10617, Taiwan.

Physical Review Letters
|January 13, 2018
PubMed
Summary

The EMC effect in nuclear physics is explained by short-range correlations, linking deep inelastic scattering to quasielastic scattering data. This relationship is derived using effective field theory and verified with nuclear potential calculations.

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Area of Science:

  • Nuclear Physics
  • Quantum Chromodynamics
  • Effective Field Theory

Background:

  • The European Muon Collaboration (EMC) effect describes modifications to nucleon structure within nuclei.
  • Short-range correlations (SRCs) are crucial for understanding nuclear structure and dynamics.
  • A linear relationship has been empirically observed between the EMC effect and SRC scaling factor a₂.

Purpose of the Study:

  • To theoretically explain the observed linear relationship between the EMC effect and the SRC scaling factor a₂.
  • To derive this relationship using effective field theory and scale separation principles.
  • To verify the theoretical predictions with nuclear structure calculations.

Main Methods:

  • Derivation of the relationship using effective field theory.
  • Analysis of scale separation in nuclear interactions.
  • Green's function Monte Carlo (GFMC) calculations with chiral and Argonne-Urbana potentials.
  • Variational Monte Carlo (VMC) calculations.

Main Results:

  • The empirical linear relation is shown to be a natural consequence of scale separation.
  • The derived relationship is independent of the chosen calculational scheme for nuclear matrix elements.
  • GFMC calculations for light nuclei (³He, ⁴He) show good agreement with experimental SRC scaling factors.
  • VMC calculations provide SRC scaling factors for ⁹Be and ¹²C.

Conclusions:

  • The study provides a theoretical foundation for the link between the EMC effect and SRCs.
  • The derived relationship offers a new perspective on nuclear structure modifications.
  • Calculations confirm the validity of the theoretical framework and provide quantitative predictions for various nuclei.