## 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 ^{3}He and ^{4}He are in good agreement with experimental values. We additionally present results for ^{9}Be and ^{12}C extracted from variational Monte Carlo calculations.

- Authors:

- National Taiwan Univ., Taipei (Taiwan); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Technische Univ. Darmstadt (Germany). Inst. fur Kernphysik; GSI-Helmholtzzentrum fur Schwerionenforschung, Darmstadt (Germany)
- 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:
- 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},

number = 26,

volume = 119,

place = {United States},

year = {2017},

month = {12}

}

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