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Title: Δ isobars and nuclear saturation

Abstract

In this paper, we construct a nuclear interaction in chiral effective field theory with explicit inclusion of the $$\mathrm{{\Delta}}$$-isobar $$\mathrm{{\Delta}}(1232)$$ degree of freedom at all orders up to next-to-next-to-leading order (NNLO). We use pion-nucleon ($${\pi}N$$) low-energy constants (LECs) from a Roy-Steiner analysis of $${\pi}N$$ scattering data, optimize the LECs in the contact potentials up to NNLO to reproduce low-energy nucleon-nucleon scattering phase shifts, and constrain the three-nucleon interaction at NNLO to reproduce the binding energy and point-proton radius of $$^{4}\mathrm{He}$$. For heavier nuclei we use the coupled-cluster method to compute binding energies, radii, and neutron skins. We find that radii and binding energies are much improved for interactions with explicit inclusion of $$\mathrm{{\Delta}}(1232)$$, while $$\mathrm{{\Delta}}$$-less interactions produce nuclei that are not bound with respect to breakup into $${\alpha}$$ particles. Finally, the saturation of nuclear matter is significantly improved, and its symmetry energy is consistent with empirical estimates.

Authors:
 [1];  [2];  [2];  [2];  [2]
  1. Chalmers Univ. of Technology, Göteborg (Sweden). Dept. of Physics
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Physics Division; Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Univ. of Tennessee, Knoxville, TN (United States); Chalmers Univ. of Technology, Göteborg (Sweden)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); Swedish Research Council (SRC); European Union (EU)
OSTI Identifier:
1474706
Alternate Identifier(s):
OSTI ID: 1422656
Grant/Contract Number:  
AC05-00OR22725; FG02-96ER40963; SC0008499; SC0018223; 2015-00225; 600398
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 97; Journal Issue: 2; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; effective field theory; equations of state of nuclear matter; nuclear binding; nuclear charge distribution; nuclear forces; nuclear matter; symmetry energy; baryons

Citation Formats

Ekström, A., Hagen, G., Morris, T. D., Papenbrock, T., and Schwartz, P. D. Δ isobars and nuclear saturation. United States: N. p., 2018. Web. doi:10.1103/PhysRevC.97.024332.
Ekström, A., Hagen, G., Morris, T. D., Papenbrock, T., & Schwartz, P. D. Δ isobars and nuclear saturation. United States. doi:10.1103/PhysRevC.97.024332.
Ekström, A., Hagen, G., Morris, T. D., Papenbrock, T., and Schwartz, P. D. Mon . "Δ isobars and nuclear saturation". United States. doi:10.1103/PhysRevC.97.024332. https://www.osti.gov/servlets/purl/1474706.
@article{osti_1474706,
title = {Δ isobars and nuclear saturation},
author = {Ekström, A. and Hagen, G. and Morris, T. D. and Papenbrock, T. and Schwartz, P. D.},
abstractNote = {In this paper, we construct a nuclear interaction in chiral effective field theory with explicit inclusion of the $\mathrm{{\Delta}}$-isobar $\mathrm{{\Delta}}(1232)$ degree of freedom at all orders up to next-to-next-to-leading order (NNLO). We use pion-nucleon (${\pi}N$) low-energy constants (LECs) from a Roy-Steiner analysis of ${\pi}N$ scattering data, optimize the LECs in the contact potentials up to NNLO to reproduce low-energy nucleon-nucleon scattering phase shifts, and constrain the three-nucleon interaction at NNLO to reproduce the binding energy and point-proton radius of $^{4}\mathrm{He}$. For heavier nuclei we use the coupled-cluster method to compute binding energies, radii, and neutron skins. We find that radii and binding energies are much improved for interactions with explicit inclusion of $\mathrm{{\Delta}}(1232)$, while $\mathrm{{\Delta}}$-less interactions produce nuclei that are not bound with respect to breakup into ${\alpha}$ particles. Finally, the saturation of nuclear matter is significantly improved, and its symmetry energy is consistent with empirical estimates.},
doi = {10.1103/PhysRevC.97.024332},
journal = {Physical Review C},
number = 2,
volume = 97,
place = {United States},
year = {2018},
month = {2}
}

Journal Article:
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Cited by: 7 works
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Figures / Tables:

FIG. 1 FIG. 1: (Color online) Schematic figure of relevant diagrams that enter in ∆-full χEFT at leading order (LO), next-to-leading order (NLO), and next-to-next-to-leading order (NNLO). The leading πN and πN∆ axial couplings are denoted by gA and hA, respectively. Note that there are no ∆ contributions at LO. At NLO,more » the NN contact interactions also remain unchanged. However, the leading-order NNN interaction, i.e. the well-known Fujita-Miyazawa term [35], appears at this order, see also Ref. [36]. The ∆ contributions to the NNN interaction at NNLO vanish due to the Pauli principle or are suppressed and demoted to a higher chiral order. Besides the subleading πN LECs c1, c2, c3, c4, the NNN diagrams contain two additional LECs; cD and cE.« less

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