Three-body systems in pionless effective field theory

Vanasse, Jared

doi:10.1142/s0218301316410020

Cited by 11 publications

(16 citation statements)

References 75 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…EFT(/ π) has had great success in describing PC (See Refs. [16,17] for a review) and PV (See Ref. [9] for a review) properties of few-nucleon systems.…”

Section: Introductionmentioning

confidence: 99%

Parity-violating three-nucleon interactions at low energies and large NC

Vanasse

2019

Phys. Rev. C

Self Cite

View full text Add to dashboard Cite

The parity-violating (PV) nucleon-nucleon (NN ) interaction in the three-nucleon system is investigated using pionless effective field theory (EFT(/ π)). This work shows that a next-to-leading order (NLO) PV three-body force is necessary in contradiction with a previous claim [1]. Including three-body P to D-wave transitions PV three-nucleon observables are calculated to higher energies than previously considered. Using the recent large-N C analysis of the PV NN interaction in EFT(/ π) the current understanding of low energy PV few-body measurements is reassessed. The recent measurement of the asymmetry A γ in np → dγ from the NPDGamma collaboration [2] gives the value g (N −1 C ) 4 * jvanasse@stetson.edu arXiv:1809.10740v2 [nucl-th] 12 May 2019 PV PV PV PV PV PC PC PC PC PV FIG. 2. Coupled integral equations for the LO PV scattering amplitude. The green box represents an insertion of a two-body PV LEC and the yellow oval the LO PV scattering amplitude. Some diagrams only exist in certain channels with the LO three-body force only existing if the outgoing partial wave is 2 S1 /2 . the integral equation t PV J L S ,LS 1 2 1 −1 1 1 K PV J L S ,LS (k, p, E) t PV J LS,L S (k, q, E) T ⊗ D NLO (E, q) t PC J LS,LS (k, q, E) + t PC J L S ,L S (k, q, E) T ⊗ D NLO (E, q) t PV J L S ,LS (k, q, E)

show abstract

“…EFT(/ π) has had great success in describing PC (See Refs. [16,17] for a review) and PV (See Ref. [9] for a review) properties of few-nucleon systems.…”

Section: Introductionmentioning

confidence: 99%

Parity-violating three-nucleon interactions at low energies and large NC

Vanasse

2019

Phys. Rev. C

Self Cite

View full text Add to dashboard Cite

show abstract

“…He, d)17 F, as C σ = (80.6 ± 4.2) fm −1/2 . The ANCs are consistent with the values extracted using Halo EFT.The electric radius of the 17 F * can now be obtained by using the extracted ANC.…”

mentioning

confidence: 97%

Effective field theory description of halo nuclei

Hammer

Chen

Phillips

2017

J. Phys. G: Nucl. Part. Phys.

180

238

View full text Add to dashboard Cite

Abstract. Nuclear halos emerge as new degrees of freedom near the neutron and proton driplines. They consist of a core and one or a few nucleons which spend most of their time in the classically-forbidden region outside the range of the interaction. Individual nucleons inside the core are thus unresolved in the halo configuration, and the low-energy effective interactions are short-range forces between the core and the valence nucleons. Similar phenomena occur in clusters of 4 He atoms, cold atomic gases near a Feshbach resonance, and some exotic hadrons. In these weakly-bound quantum systems universal scaling laws for s-wave binding emerge that are independent of the details of the interaction. Effective field theory (EFT) exposes these correlations and permits the calculation of non-universal corrections to them due to short-distance effects, as well as the extension of these ideas to systems involving the Coulomb interaction and/or binding in higher angular-momentum channels. Halo nuclei exhibit all these features. Halo EFT, the EFT for halo nuclei, has been used to compute the properties of single-neutron, two-neutron, and single-proton halos of s-wave and p-wave type. This review summarizes these results for halo binding energies, radii, Coulomb dissociation, and radiative capture, as well as the connection of these properties to scattering parameters, thereby elucidating the universal correlations between all these observables. We also discuss how Halo EFT's encoding of the long-distance physics of halo nuclei can be used to check and extend ab initio calculations that include detailed modeling of their short-distance dynamics.arXiv:1702.08605v2 [nucl-th] 5 Nov 2017 EFT for halo nuclei 2

show abstract

“…π /M N ) pions can be integrated out as degrees of freedom leaving a theory of NN interactions entirely in terms of nucleon fields. This theory known as pionless effective field theory (EFT(/ π)) has been used to great success to describe properties of few-nucleon systems at low energies [12,13]. At energies where EFT(/ π) is valid the PV NN interaction is characterized by five low energy constants LECs [14,15].…”

Section: At Low Energies (E < Mmentioning

confidence: 99%