Few-nucleon and many-nucleon systems with semilocal coordinate-space regularized chiral nucleon-nucleon forces

Binder, Sven; Calci, Angelo; Epelbaum, E.; Furnstahl, R. J.; Golak, J.; Hebeler, K.; Hüther, T.; Kamada, H.; Krebs, H.; Maris, Pieter; Meißner, Ulf‐G.; Nogga, A.; Roth, Robert; Skibiński, R.; Topolnicki, K.; Vary, James P.; Vobig, Klaus; Witała, H.

doi:10.1103/physrevc.98.014002

Cited by 78 publications

(85 citation statements)

References 151 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We also refine our previous estimations of truncation uncertainties by employing a Bayesian approach instead of the algorithm proposed in Ref. [5] and used in our earlier studies [39,40,38] in the three-nucleon sector. Last but nor least, we explore the role of selected N 4 LO short-range 3NF terms in Nd scattering.…”

Section: Introductionmentioning

confidence: 74%

“…4. [39,40], our results suggest that the accurate description of Nd scattering data below pion production threshold will likely require the chiral expansion of the 3NF to be pushed to N 4 LO. Notice that the accurate and precise description of neutron-proton and proton-proton data below pion production threshold also required the chiral expansion of the NN force to be pushed to N 4 LO (or even N 4 LO + ) [7].…”

Section: Bayesian Model For Truncation Errorsmentioning

confidence: 89%

“…For applications of the EKM method to a broad range of low-energy reactions in the single-baryon and few-/manynucleon sectors see Refs. [42,43,44,45] and [6,39,46,47,40,38,48], respectively. Being very simple and easy to implement, the EKM approach does, however, not directly provide a statistical interpretation of the estimated uncertainties.…”

Section: Bayesian Model For Truncation Errorsmentioning

confidence: 99%

“…In Refs. [39,40], we have calculated Nd scattering observables based on the SCS NN chiral potentials of Refs. [5,6] and estimated the truncation errors using the EKM approach.…”

Section: Bayesian Model For Truncation Errorsmentioning

confidence: 99%

See 3 more Smart Citations

Towards high-order calculations of three-nucleon scattering in chiral effective field theory

et al. 2020

Self Cite

View full text Add to dashboard Cite

We discuss the current status of chiral effective field theory in the three-nucleon sector and present selected results for nucleon-deuteron scattering observables based on semilocal momentum-spaceregularized chiral two-nucleon potentials together with consistently regularized three-nucleon forces up to third chiral order. Using a Bayesian model for estimating truncation errors, the obtained results are found to provide a good description of the experimental data. We confirm our earlier findings that a highprecision description of nucleon-deuteron scattering data below pion production threshold will require the theory to be pushed to fifth chiral order. This conclusion is substantiated by an exploratory study of selected short-range contributions to the three-nucleon force at that order, which, as expected, are found to have significant effects on polarization observables at intermediate and high energies. We also outline the challenges that will need to be addressed in order to push the chiral expansion of three-nucleon scattering observables to higher orders. PACS. 21.30.-x Nuclear forces -21.30.Fe Forces in hadronic systems and effective interactions -21.45.+v Few-body systems 1 The term "semilocal" refers to a local regularization approach for long-range interactions in combination with a nonlocal cutoff for the short-range part of the nuclear force. 2 The N 4 LO + potentials of Ref. [7] include four sixth-order (i.e. N 5 LO) short-range operators contributing to F-waves, which are needed to describe certain very precisely measured proton-proton scattering observables at intermediate and high energies. The same operators are included in the N 4 LO potentials of Ref. [8].

show abstract

Section: Introductionmentioning

confidence: 74%

Section: Bayesian Model For Truncation Errorsmentioning

confidence: 89%

Section: Bayesian Model For Truncation Errorsmentioning

confidence: 99%

“…In Refs. [39,40], we have calculated Nd scattering observables based on the SCS NN chiral potentials of Refs. [5,6] and estimated the truncation errors using the EKM approach.…”

Section: Bayesian Model For Truncation Errorsmentioning

confidence: 99%

See 2 more Smart Citations

Towards high-order calculations of three-nucleon scattering in chiral effective field theory

et al. 2020

Self Cite

View full text Add to dashboard Cite

show abstract

“…Within χEFT, many studies have been carried out dealing with the construction and optimization of NN and 3N interactions [60,61,62,63,64,65,66,67,68,69,70,35,50,43,71,72,73,74,75,45,76,77,78,79,59,80,81,82,83] and accompanying isospin-symmetry-breaking corrections [84,85,86]. These interactions are typically formulated in momentum space, and include cutoff functions to regularize their behavior at large momenta.…”

Section: Nuclear Interactionsmentioning

confidence: 99%

Atomic Nuclei From Quantum Monte Carlo Calculations With Chiral EFT Interactions

et al. 2020

View full text Add to dashboard Cite

Quantum Monte Carlo methods are powerful numerical tools to accurately solve the Schrödinger equation for nuclear systems, a necessary step to describe the structure and reactions of nuclei and nucleonic matter starting from realistic interactions and currents. These ab-initio methods have been used to accurately compute properties of light nuclei -including their spectra, moments, and transitions -and the equation of state of neutron and nuclear matter. In this work we review selected results obtained by combining quantum Monte Carlo methods and recent Hamiltonians constructed within chiral effective field theory. Keywords: Quantum Monte Carlo methods, variational Monte Carlo, Green's function Monte Carlo, auxiliary field diffusion Monte Carlo, chiral effective field theory, nuclear Hamiltonians, nuclear structure 1 arXiv:2001.01374v1 [nucl-th] 6 Jan 2020 Gandolfi et al.Atomic nuclei from QMC calculations with χEFT interactions potentials that are consistent with the symmetries of QCD. The solution of nuclear many-body problems requires two main ingredients: an Hamiltonian that accurately models the interactions among the nucleons, and reliable numerical many-body methods to solve the corresponding Schrödinger equation.Microscopic nuclear Hamiltonians, capable of reproducing nucleon-nucleon scattering data and the properties of few-body systems, have been successfully used to describe light nuclei. For example the highly-realistic Argonne v 18 two-body potential [3] combined with the phenomenological Illinois-7 three-body force have been employed to predict several properties of nuclei up to A = 12 with great accuracy [4]. Several calculations of energies, rms radii, transitions, and densities turn out to be in excellent agreement with experimental data. The main limitation of these phenomenological Hamiltonians is that it is not clear how they can be systematically improved, and how to quantify theoretical, i.e., systematic, uncertainties related to the specific interaction model. Another approach that became very popular in the last two decades consist in deriving nuclear interactions within the framework of chiral Effective Field Theory (χEFT). The advantage of this approach is that it provides the necessary tools to systematically improve the interaction models, to estimate uncertainties related to the truncation of the chiral expansion, and to consistently derive electroweak currents. Frontiers

show abstract

Ab Initio Approaches to Nuclear Structure

Roth

2022

Lecture Notes in Physics

View full text Add to dashboard Cite

Few-nucleon and many-nucleon systems with semilocal coordinate-space regularized chiral nucleon-nucleon forces

Cited by 78 publications

References 151 publications

Towards high-order calculations of three-nucleon scattering in chiral effective field theory

Towards high-order calculations of three-nucleon scattering in chiral effective field theory

Atomic Nuclei From Quantum Monte Carlo Calculations With Chiral EFT Interactions

Ab Initio Approaches to Nuclear Structure

Contact Info

Product

Resources

About