Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>Δ</mml:mi></mml:math>resonances

Piarulli, M.; Girlanda, L.; Schiavilla, R.; Pérez, R. Navarro; Amaro, J. E.; Arriola, E. Ruiz

doi:10.1103/physrevc.91.024003

Cited by 195 publications

(286 citation statements)

References 67 publications

Supporting

Mentioning

271

Contrasting

Order By: Relevance

“…A recent analysis of a Minimally non-local (and continuous, i.e. plotable) nucleonnucleon potentials with chiral two-pion exchange including ∆'s fully agrees with this finding [65], namely a similar increase of the χ 2 /ν = 1.3, with a family of short distance potentials which operate around 1.1fm.…”

Section: Maxsupporting

confidence: 55%

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

2015

Self Cite

View full text Add to dashboard Cite

We present a new phenomenological Nucleon-Nucleon chiral potential fitted to 925 pp and 1743 np scattering data selected from the Granada-2013 NN-database up to a laboratory energy of 125 MeV with 20 short distance parameters and three chiral constants c 1 , c 3 and c 4 with χ 2 /ν = 1.02. Special attention is given to testing the normality of the residuals which allows for a sound propagation of statistical errors from the experimental data to the potential parameters, phase-shifts, scattering amplitudes and counter-terms. This fit allows for a new determination of the chiral constants c 1 , c 3 and c 4 compatible with previous determinations from NN data. This new interactions is found to be softer than other high quality potentials by undertaking a Weinberg eigenvalue analysis. We further explore the interplay between the error analysis and the assumed form of the short distance interaction. The present work shows that it is possible to fit NN scattering with a TPE chiral potential fulfilling all necessary statistical requirements up to 125 MeV and shows unequivocal non-vanishing D-wave short distance pieces.

show abstract

Section: Maxsupporting

confidence: 55%

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

2015

Self Cite

View full text Add to dashboard Cite

show abstract

“…These features of our potentials are in contrast to other families of chiral N N potentials of local or semi-local character that have recently entered the market [20][21][22][23][24]. Such potentials are less soft and, consequently, require stronger three-body force contributions.…”

Section: Discussionmentioning

confidence: 81%

High-quality two-nucleon potentials up to fifth order of the chiral expansion

Entem¹,

Machleidt²,

Nosyk³

2017

Phys. Rev. C

354

461

View full text Add to dashboard Cite

We present N N potentials through five orders of chiral effective field theory ranging from leading order (LO) to next-to-next-to-next-to-next-to-leading order (N 4 LO). The construction may be perceived as consistent in the sense that the same power counting scheme as well as the same cutoff procedures are applied in all orders. Moreover, the long-range parts of these potentials are fixed by the very accurate πN LECs as determined in the Roy-Steiner equations analysis by Hoferichter, Ruiz de Elvira and coworkers. In fact, the uncertainties of these LECs are so small that a variation within the errors leads to effects that are essentially negligible, reducing the error budget of predictions considerably. The N N potentials are fit to the world N N data below pion-production threshold of the year of 2016. The potential of the highest order (N 4 LO) reproduces the world N N data with the outstanding χ 2 /datum of 1.15, which is the highest precision ever accomplished for any chiral N N potential to date. The N N potentials presented may serve as a solid basis for systematic ab initio calculations of nuclear structure and reactions that allow for a comprehensive error analysis. In particular, the consistent order by order development of the potentials will make possible a reliable determination of the truncation error at each order. Our family of potentials is non-local and, generally, of soft character. This feature is reflected in the fact that the predictions for the triton binding energy (from two-body forces only) converges to about 8.1 MeV at the highest orders. This leaves room for three-nucleon-force contributions of moderate size.

show abstract

“…Following the same strategy, a minimally nonlocal NN potential was developed in Ref. [26] with explicit ∆ degrees of freedom. Monte Carlo methods have also been used to study neutron matter based on lattice techniques and other momentum-space QMC approaches [27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Quantum Monte Carlo calculations of neutron matter with chiral three-body forces

et al. 2016

View full text Add to dashboard Cite

Chiral effective field theory (EFT) enables a systematic description of low-energy hadronic interactions with controlled theoretical uncertainties. For strongly interacting systems, quantum Monte Carlo (QMC) methods provide some of the most accurate solutions, but they require as input local potentials. We have recently constructed local chiral nucleon-nucleon (NN) interactions up to nextto-next-to-leading order (N 2 LO). Chiral EFT naturally predicts consistent many-body forces. In this paper, we consider the leading chiral three-nucleon (3N) interactions in local form. These are included in auxiliary field diffusion Monte Carlo (AFDMC) simulations. We present results for the equation of state of neutron matter and for the energies and radii of neutron drops. In particular, we study the regulator dependence at the Hartree-Fock level and in AFDMC and find that present local regulators lead to less repulsion from 3N forces compared to the usual nonlocal regulators.

show abstract

Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange includingΔresonances

Cited by 195 publications

References 67 publications

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

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

High-quality two-nucleon potentials up to fifth order of the chiral expansion

Quantum Monte Carlo calculations of neutron matter with chiral three-body forces

Contact Info

Product

Resources

About