Low-energy chiral two-pion exchange potential with statistical uncertainties

Pérez, R. Navarro; Amaro, J. E.; Arriola, E. Ruiz

doi:10.1103/physrevc.91.054002

Cited by 31 publications

(20 citation statements)

References 74 publications

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“…The observation of light nuclei, which are emitted in Fermi-energy HICs, allows one to determine the density and temperature of warm dilute matter from experiments (Kowalski et al, 2007;Natowitz et al, 2010;Wada et al, 2012). The derived symmetry energies of the clustered matter indicate an increase as compared to those obtained in model calculations of uniform matter that is assumed to be composed solely of nucleons.…”

Section: Heavy-ion Collisionsmentioning

confidence: 89%

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Equations of state for supernovae and compact stars

et al. 2017

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A review is given of various theoretical approaches for the equation of state (EoS) of dense matter, relevant for the description of core-collapse supernovae, compact stars, and compact star mergers. The emphasis is put on models that are applicable to all of these scenarios. Such EoS models have to cover large ranges in baryon number density, temperature, and isospin asymmetry. The characteristics of matter change dramatically within these ranges, from a mixture of nucleons, nuclei, and electrons to uniform, strongly interacting matter containing nucleons, and possibly other particles such as hyperons or quarks. As the development of an EoS requires joint efforts from many directions, different theoretical approaches are considered and relevant experimental and observational constraints which provide insights for future research are discussed. Finally, results from applications of the discussed EoS models are summarized.

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Section: Heavy-ion Collisionsmentioning

confidence: 89%

“…Only a few satisfy all criteria that were selected. Some Skyrme forces show instabilities (Chamel and Goriely, 2010;Kortelainen and Lesinski, 2010;Hellemans et al, 2013;Navarro and Polls, 2013;Pastore et al, 2014) under particular conditions that may be cured with appropriate modifications of the EDF.…”

Section: ¼T þV ð14þmentioning

confidence: 99%

Equations of state for supernovae and compact stars

et al. 2017

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“…[37], as well as uncertainties due to the fit of the contact potentials, are not considered any further in this work. When contrasted with the much larger systematic uncertainties due to the truncation of the EFT, such statistical errors presently play a lesser role [20,50,51]. It is important to note that although the πN LECs are extracted from πN data using a high-precision Roy-Steiner analysis, the corresponding LECs in the ∆-full sector are less precise due to the large uncertainty in the underlying determination of h A .…”

Section: Optimization Of Interactionsmentioning

confidence: 99%

Δ isobars and nuclear saturation

et al. 2018

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We construct a nuclear interaction in chiral effective field theory with explicit inclusion of the ∆isobar ∆(1232) degree of freedom at all orders up to next-to-next-to-leading order (NNLO). We use pion-nucleon (πN ) low-energy constants (LECs) from a Roy-Steiner analysis of πN 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 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 explict inclusion of ∆(1232), while ∆-less interactions produce nuclei that are not bound with respect to breakup into α particles. The saturation of nuclear matter is significantly improved, and its symmetry energy is consistent with empirical estimates.

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“…The computation of a cross section or related sum rule exhibits various theoretical uncertainties. Often, the largest uncertainty results from truncations of the employed chiral effective field theory at some given order in the power counting, whereas statistical uncertainties due to the optimization of the interaction are significantly smaller [50,66,67]. While a robust quantification of systematic uncertainties related to the employed chiral interactions is still lacking, a rough estimate can be made by employing a large set of different chiral interactions [36,48,60,68,69].…”

Section: Introductionmentioning

confidence: 99%

Computing the dipole polarizability of Ca48 with increased precision

et al. 2018

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We compute the electric dipole polarizability of 48 Ca with an increased precision by including more correlations than in previous studies. Employing the coupled-cluster method we go beyond singles and doubles excitations and include leading-order three-particle-three-hole (3p-3h) excitations for the ground state, excited states, and the similarity transformed operator. We study electromagnetic sum rules, such as the bremsstrahlung sum rule m0 and the polarizability sum rule α D using interactions from chiral effective field theory. To gauge the quality of our coupled-cluster approximations we perform several benchmarks with the effective interaction hyperspherical harmonics approach in 4 He and with self consistent Green's function in 16 O. We compute the dipole polarizability of 48 Ca employing the chiral interaction N 2 LOsat [Ekström et al., Phys. Rev. C 91, 051301 (2015)] and the 1.8/2.0 (EM) [Hebeler et al., Phys. Rev. C 83, 031301 (2011)]. We find that the effect of 3p-3h excitations in the ground state is small for 1.8/2.0 (EM) but non-negligible for N 2 LOsat. The addition of these new correlations allows us to improve the precision of our 48 Ca calculations and reconcile the recently reported discrepancy between coupled-cluster results based on these interactions and the experimentally determined α D from proton inelastic scattering in 48 Ca [Birkhan et al., Phys. Rev. Lett. 118, 252501 (2017)]. For the computation of electromagnetic and polarizability sum rules, the inclusion of leading-order 3p-3h excitations in the ground state is important, while less so for the excited states and the similarity-transformed dipole operator.

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Low-energy chiral two-pion exchange potential with statistical uncertainties

Cited by 31 publications

References 74 publications

Equations of state for supernovae and compact stars

Equations of state for supernovae and compact stars

Δ isobars and nuclear saturation

Computing the dipole polarizability of Ca48 with increased precision

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