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

Epelbaum, E.; 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.99.024313

Cited by 84 publications

(105 citation statements)

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“…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%

“…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%

“…where, following [56,38], we use Λ χ = 700 MeV. For the LECs c i , we employ the central values from the Roy-Steiner-equation analysis of Ref.…”

Section: Bayesian Model For Truncation Errorsmentioning

confidence: 99%

“…In this paper we update our recent study [38] based on the semilocal coordinate-space regularized (SCS) NN forces of Refs. [5,6] and analyze nucleon-deuteron (Nd) scattering observables using the new SMS chiral NN potentials of Ref.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2020

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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].

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Section: Introductionmentioning

confidence: 74%

Section: Bayesian Model For Truncation Errorsmentioning

confidence: 99%

“…where, following [56,38], we use Λ χ = 700 MeV. For the LECs c i , we employ the central values from the Roy-Steiner-equation analysis of Ref.…”

Section: Bayesian Model For Truncation Errorsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

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“…State-of-the-art calculations of few-nucleon systems based on chiral N N potentials commonly include 3BFs. The arising additional LECs in the 3BF are fixed by considering few-or many body observables, for example the triton binding energy or the minimum of the differential pd cross section [92]. Their actual values depend on the specific features of the employed EFT and, in particular, on the adopted regularization scheme [80].…”

Section: Discussionmentioning

confidence: 99%

Hyperon–nucleon interaction within chiral effective field theory revisited

2020

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The ΛN and ΣN interactions are considered at next-to-leading order in SU(3) chiral effective field theory. Different options for the low-energy constants that determine the strength of the contact interactions are explored. Two variants are analysed in detail which yield equivalent results for ΛN and ΣN scattering observables but differ in the strength of the ΛN → ΣN transition potential. The influence of this difference on predictions for light hypernuclei and on the properties of the Λ and Σ hyperons in nuclear matter is investigated and discussed. The effect of the variation in the potential strength of the ΛN -ΣN coupling (also called Λ − Σ conversion) is found to be moderate for the considered 3 Λ H and 4 Λ He hypernuclei but sizable in case of the matter properties. Further, the size of three-body forces and their relation to different approaches to hypernuclear interactions is discussed.PACS. 12.39.Fe Chiral Lagrangians -13.75.Ev Hyperon-nucleon interactions -21.30.Fe Forces in hadronic systems and effective interactions

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Two and Three Nucleons on the Lattice

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Meißner

2019

Nuclear Lattice Effective Field Theory

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

Cited by 84 publications

References 105 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

Hyperon–nucleon interaction within chiral effective field theory revisited

Two and Three Nucleons on the Lattice

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