Electromagnetic properties of the Beryllium-11 nucleus in Halo EFT

We compute E1 transitions and electric radii in the Beryllium-11 nucleus using an effective field theory that exploits the separation of scales in this halo system. We fix the leading-order parameters of the EFT from measured data on the 1/2+ and 1/2- levels in Be-11 and the B(E1) strength for the transition between them. We then obtain predictions for the B(E1) strength for Coulomb dissociation of the Be-11 nucleus to the continuum. We also compute the charge radii of the 1/2+ and 1/2- states. Agreement with experiment within the expected accuracy of a leading-order computation in this EFT is obtained. We also discuss how next-to-leading-order (NLO) corrections involving both s-wave and p-wave neutron-Be-10 interactions affect our results, and display the NLO predictions for quantities which are free of additional short-distance operators at this order. Information on neutron-Be-10 scattering in the relevant channels is inferred.Comment: 27 pages, 8 figures, final versio

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“…A preliminary version of these findings appeared in Ref. [13]. The presentation here corrects and expands upon that earlier work.…”

Section: Introductionsupporting

confidence: 79%

Electric properties of the Beryllium-11 system in Halo EFT

Hammer¹,

Phillips

2011

Nuclear Physics A

Self Cite

158

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“…Using Eqs. (186), (167), and (187), as well as the formula (178) it is clear that the electric form factor at |q| = 0 is still normalized to unity. The electric radius is then given by the order |q| 2 part of the LO loop-integral (183) together with the full wavefunction renormalization (171).…”

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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“…We begin with a brief summary of the EFT formalism developed for 11 Be in Refs. [21,23]. The same halo EFT with electromagnetic interactions has also been used to analyze 7 Li+n → 8 Li + γ [22,40] and 14 C + n → 15 C + γ [41].…”

Section: In Halo Eftmentioning

confidence: 99%

“…[14][15][16][17][18][19][20], and augmented with electromagnetic interactions in Refs. [21][22][23]. This work is an application of the EFT presented 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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Electromagnetic properties of the Beryllium-11 nucleus in Halo EFT

Cited by 9 publications

References 18 publications

Electric properties of the Beryllium-11 system in Halo EFT

Electric properties of the Beryllium-11 system in Halo EFT

Effective field theory description of halo nuclei

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

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