Subleading contributions to the three-nucleon contact interaction

Girlanda, L.; Kievsky, A.; Viviani, M.

doi:10.1103/physrevc.84.014001

Cited by 114 publications

(98 citation statements)

References 38 publications

(37 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[3] we have classified all subleading 3N contact operators, which involve two powers of nucleon momenta. These terms would show up at the N4LO of the low-energy expansion, but they represent the first correction to the 3N force in the pionless version of the effective theory.…”

Section: Introductionmentioning

confidence: 99%

Tuning the 3Nforce from 3Nscattering data

Girlanda

Kievsky

Viviani

et al. 2016

EPJ Web of Conferences

View full text Add to dashboard Cite

We report on our progress in the inclusion of the subleading 3N contact operators for the elastic p − d scattering below the deuteron break-up. We find that, with a nuclear interaction consisting of the AV18 2N potential, supplemented by the leading and subleading 3N contact operators, existing discrepancies between theory and experiment, like the well-known A y puzzle, are substantially reduced.

show abstract

Section: Introductionmentioning

confidence: 99%

Tuning the 3Nforce from 3Nscattering data

Girlanda

Kievsky

Viviani

et al. 2016

EPJ Web of Conferences

View full text Add to dashboard Cite

show abstract

“…Within χEFT many studies have been carried out dealing with the construction of N N and 3N interactions [19][20][21][22][23][24][25][26][27] and accompanying ISB corrections. [28][29][30] These interactions were typically formulated in momentum space, and included cutoff functions to regularize their behavior at large momenta which, however, made them strongly non-local when Fouriertransformed in configuration space, and therefore unsuitable for use with quantum Monte Carlo methods.…”

mentioning

confidence: 99%

Light-Nuclei Spectra from Chiral Dynamics

et al. 2018

Self Cite

View full text Add to dashboard Cite

“…They are expected to be sizeable. Moreover, a new set of 3NF contact terms appear [34]. The N 4 LO 4NF has not been derived yet.…”

Section: The Hierarchy Of Nuclear Forcesmentioning

confidence: 99%

Chiral Symmetry and the Nucleon-Nucleon Interaction

Machleidt¹

2016

Symmetry

View full text Add to dashboard Cite

Abstract:We review how nuclear forces emerge from low-energy quantum chromodynamics (QCD) via chiral effective field theory (EFT). During the past two decades, this approach has evolved into a powerful tool to derive nuclear two-and many-body forces in a systematic and model-independent way. We then focus on the nucleon-nucleon (NN) interaction and show in detail how, governed by chiral symmetry, the long-and intermediate-range of the NN potential builds up order by order. We proceed up to sixth order in small momenta, where convergence is achieved. The final result allows for a full assessment of the validity of the chiral EFT approach to the NN interaction.Keywords: low-energy quantum chromodynamics (QCD); effective field theory; chiral perturbation theory; nucleon-nucleon scattering; nucleon-nucleon potentials PACS classifications: 13.75.Cs; 12.39.Fe; 21.30.-x; 21.45.Ff Historical PerspectiveAfter the discovery of the neutron by Chadwick in 1932 [1], it was clear that the atomic nucleus is made up from protons and neutrons. In such a system, electromagnetic forces cannot be the reason why the constituents of the nucleus are sticking together. Therefore, the concept of a new strong nuclear interaction was introduced. In 1935, the first theory for this new force was developed by the Japanese physicist Yukawa [2], who suggested that the nucleons would exchange particles between each other and this mechanism would create the force. Yukawa constructed his theory in analogy to the theory of the electromagnetic interaction where the exchange of a (massless) photon is the cause of the force. However, in the case of the nuclear force, Yukawa assumed that the "force-makers" carry a mass that was in-between the masses of the electron and the proton (which is why these particles were eventually called "mesons"). The mass of the mesons limits the effect of the force to a finite range, since the uncertainty principal allows massive virtual particles to travel only a finite distance. The meson predicted by Yukawa was finally found in 1947 in cosmic ray and in 1948 in the laboratory and called the pion. Yukawa was awarded the Nobel Prize in 1949. In the 1950s and 60s more mesons were found in accelerator experiments and the meson theory of nuclear forces was extended to include many mesons. These models became known as one-boson-exchange models, which is a reference to the fact that the different mesons are exchanged singly in this model. The one-boson-exchange model is very successful in explaining essentially all properties of the nucleon-nucleon interaction at low energies [3][4][5][6][7][8][9]. In the 1970s and 80s, also meson models were developed that went beyond the simple single-particle exchange mechanism. These models included, in particular, the explicit exchange of two pions with all its complications. Well-known representatives of the latter kind are the Paris [10] and the Bonn potentials [11].Since these meson models were quantitatively very successful, it appeared that they were the solution of the nuclear for...

show abstract

Subleading contributions to the three-nucleon contact interaction

Cited by 114 publications

References 38 publications

Tuning the 3Nforce from 3Nscattering data

Tuning the 3Nforce from 3Nscattering data

Light-Nuclei Spectra from Chiral Dynamics

Chiral Symmetry and the Nucleon-Nucleon Interaction

Contact Info

Product

Resources

About