Scaling laws and higher-order effects in Coulomb excitation of neutron halo nuclei

Abstract. We compute electromagnetic properties of the Beryllium-11 nucleus using an effective field theory that exploits the separation of scales in this halo system. We fix the parameters of the EFT from measured data on levels and scattering lengths in the 10 Be plus neutron system. We then obtain predictions for the B(E1) strength of the 1/2 + to 1/2 − transition in the 11 Be nucleus. We also compute the charge radius of the ground state of 11 Be. Agreement with experiment within the expected accuracy of a leading-order computation in this EFT is obtained. We also indicate how higher-order corrections that affect both s-wave and p-wave 10 Be-neutron interactions will affect our results.

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“…Refs. [1,22,23]). But, in contrast to those works, there is no regulator dependence in the LO result for the E1 strength.…”

Section: Resultsmentioning

confidence: 99%

“…5 is considered, as was done, for example, in Ref. [22], then current conservation is not satisfied, and it appears that some input from short-distance physics is needed in order to define the prediction for this observable.…”

Section: Th International Iupap Conference On Few-body Problems In Phmentioning

confidence: 99%

Electromagnetic properties of the Beryllium-11 nucleus in Halo EFT

Phillips

Hammer

2010

EPJ Web of Conferences

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“…Corrections due to higher-order electromagnetic effects between the 208 Pb target and the 19 C beam is a subject for further investigation. However, these corrections are expected to be small [36,37].…”

Section: Discussionmentioning

confidence: 99%

“…Typel and Baur studied the experiment reported in Refs. [31,35] and concluded that higher-order electromagnetic effects are small [36,37]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

19C in halo EFT: Effective-range parameters from Coulomb dissociation experiments

Acharya

Phillips

2013

Nuclear Physics A

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We study the Coulomb dissociation of the 19 C nucleus in an effective field theory that uses the 18 C core and the neutron as effective degrees of freedom and exploits the separation of scales in this halo system. We extract the effective-range parameters and the separation energy of the halo neutron from the experimental data reported in Refs. [31,35], taken at RIKEN by Nakamura et al. (1999Nakamura et al. ( , 2003. We obtain a value of (575 ± 55(stat.) ± 20(EFT)) keV for the one-neutron separation energy of 19 C, and (7.75 ± 0.35(stat.) ± 0.3(EFT)) fm for the 18 C-neutron scattering length. The width of the longitudinal momentum distribution predicted by EFT using this separation energy agrees well with the experimental data taken at NSCL by Bazin et al. (1998) [9], reaffirming the dominance of the s-wave configuration of the valence neutron.

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“…The NLO electric radius (188) is different from the LO result by a factor Z σ /Z σ,LO = C 2 σ /C 2 σ,LO (cf. Eq.…”

Section: 42mentioning

confidence: 99%

Effective field theory description of halo nuclei

Hammer

Chen

Phillips

2017

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

180

238

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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

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Scaling laws and higher-order effects in Coulomb excitation of neutron halo nuclei

Cited by 6 publications

References 23 publications

Electromagnetic properties of the Beryllium-11 nucleus in Halo EFT

Electromagnetic properties of the Beryllium-11 nucleus in Halo EFT

19C in halo EFT: Effective-range parameters from Coulomb dissociation experiments

Effective field theory description of halo nuclei

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