Triton charge radius to next-to-next-to-leading order in pionless effective field theory

Vanasse, Jared

doi:10.1103/physrevc.95.024002

Cited by 38 publications

(44 citation statements)

References 76 publications

(141 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The universal behavior of Efimov tetramers was also found by calculations in shortrange potential models [286,287,288], and has been observed in experiments using ultracold atomic gases of 7 Li [289], 39 K [290], and 133 Cs [291]. The long-predicted excited Efimov trimer of 4 He atoms has been recently observed in a Coulomb explosion imaging measurement [292].…”

Section: Four-body Systemssupporting

confidence: 57%

See 1 more Smart Citation

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

Section: Four-body Systemssupporting

confidence: 57%

“…We refer to Refs. [130,133] for detailed discussions of this rigorous perturbative treatment of range effects in three-body systems.…”

Section: Range Corrections In Three-body Systemsmentioning

confidence: 99%

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

show abstract

“…The result obtained for standard pionless LO is furthermore in excellent agreement with the calculation of Ref. [37], at unitarity the radius satisfies well the universal relation [40,37,39]…”

Section: Charge Radii and Form Factorssupporting

confidence: 87%

“…The derivations presented here are built on the concept of using inhomogeneous equations to calculate perturbative corrections, introduced in Ref . [37] specifically for three-body vertex functions, and previously in Ref. [26] for scattering calculations.…”

Section: B Perturbative Expansion Of Few-body Bound Statesmentioning

confidence: 98%

“…While explicit results are given for first-order perturbation theory, it is clear from the following discussion that higher-order equations can be derived analogously in a recursive fashion, much like it is done in Ref. [37] for a calculation of the triton charge radius up to next-to-next-to leading order. The derivations presented here are built on the concept of using inhomogeneous equations to calculate perturbative corrections, introduced in Ref .…”

Section: B Perturbative Expansion Of Few-body Bound Statesmentioning

confidence: 99%

See 1 more Smart Citation

Energies and radii of light nuclei around unitarity

König

2020

Eur. Phys. J. A

View full text Add to dashboard Cite

Light nuclei fall within a regime of universal physics governed by the fact that the two-nucleon scattering lengths are large compared to the typical nuclear interaction range set by one-pion exchange. This places nuclear physics near the so-called unitarity limit in which the scattering lengths are exactly infinite. Effective field theory provides a powerful theoretical framework to capture this separation of scales in a systematic way. It is shown here that the nuclear force can be constructed as a perturbative expansion around the unitarity limit and that this expansion has good convergence properties for both the binding energies of A = 3, 4 nuclei as well as for the radii of these states.

show abstract

Theory of Halo Nuclei

Hammer

2022

Handbook of Nuclear Physics

View full text Add to dashboard Cite

Triton charge radius to next-to-next-to-leading order in pionless effective field theory

Cited by 38 publications

References 76 publications

Effective field theory description of halo nuclei

Effective field theory description of halo nuclei

Energies and radii of light nuclei around unitarity

Theory of Halo Nuclei

Contact Info

Product

Resources

About