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

Acharya, Bijaya; Phillips, Daniel R.

doi:10.1016/j.nuclphysa.2013.05.021

Cited by 40 publications

(55 citation statements)

References 64 publications

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“…19 C fits this description, see Table 1, and its Coulomb dissociation was calculated in Ref. [94]. In contrast, some halo systems (e.g., 15 C and 11 Be) have significant final-state p-wave interactions that affect their dipolestrength distribution.…”

Section: The Role Of P-wave Final-state Interactionsmentioning

confidence: 84%

“…The differential cross section with respect to the center of mass angle between the dissociated fragments and the longitudinal momentum distribution of the dissociation cross section can be obtained by convolving dB(E1) dE with appropriate functions representing the number of virtual photons for each case, see Ref. [94] for details. The arguments used to obtain such formulae are semi-classical, involve only first-order coupling of the nucleus to the photon field, and neglect the halo-target interaction.…”

Section: Coulomb Dissociation Of a One-neutron S-wave Halomentioning

confidence: 99%

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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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Section: The Role Of P-wave Final-state Interactionsmentioning

confidence: 84%

Section: Coulomb Dissociation Of a One-neutron S-wave Halomentioning

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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“…[39][40][41][42][43], with that theory extended to P -wave interactions in Refs. [44,45] and the results applied to various halo systems including [49], as well as to α-α interactions [50] and a number of two-neutron halos [51][52][53][54][55][56].…”

Section: B Why Effective Field Theory?mentioning

confidence: 99%

Combiningab initiocalculations and low-energy effective field theory for halo nuclear systems: The case of7Li+n→8Li+γ

2014

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We report a leading-order calculation of radiative 7 Li neutron captures to both the ground and first excited state of 8 Li in the framework of a low-energy effective field theory (Halo-EFT). Each of the possible final states is treated as a shallow bound state composed of both n + 7 Li and n + 7 Li * (core excitation) configurations. The ab initio variational Monte Carlo method is used to compute the asymptotic normalization coefficients of these bound states, which are then used to fix couplings in our EFT. We calculate the total and partial cross sections in the radiative capture process using this calibrated EFT. Fair agreement with measured total cross sections is achieved and excellent agreement with the measured branching ratio between the two final states is found. In contrast,a previous Halo-EFT calculation [G. Rupak and R. Higa, Phys. Rev. Lett 106, 222501 (2011)] assumes that the n-7 Li couplings in different spin channels are equal, fits the P -wave "effectiverange" parameter to the threshold cross section for 7 Li + n → 8 Li + γ, and assumes the core excitation is at high enough energy scale that it can be integrated out.

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“…Electromagnetic properties of neutron halos were analyzed in the EFT framework in Refs. [31][32][33][34][35][36][37].…”

Section: Introductionmentioning

confidence: 99%

He6nucleus in halo effective field theory

2014

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Background:In recent years properties of light rare isotopes have been measured with high accuracy. At the same time, the theoretical description of light nuclei has made enormous progress, and properties of, e.g., the helium isotopes can now be calculated ab initio. These advances make those rare isotopes an ideal testing ground for effective field theories (EFTs) built on cluster degrees of freedom. Purpose: Systems with widely separated intrinsic scales are well suited to an EFT treatment. The Borromean halo nucleus 6 He exhibits such a separation of scales. In this work an EFT in which the degrees of freedom are the valence neutrons (n) and an inert 4 He-core (α) is employed. The properties of 6 He can then be calculated using the momentum-space Faddeev equations for the αnn bound state to obtain information on 6 He at leading order (LO) within the EFT. Results: The nn virtual state and the 2 P 3/2 resonance in 5 He give the two-body amplitudes which are input to our LO three-body Halo EFT calculation. We find that without a genuine three-body interaction the two-neutron separation energy S 2n of 6 He is strongly cutoff dependent. We introduce a nnα "three-body" operator which renormalizes the system, adjusting its coefficient to reproduce the S 2n of 6 He. The Faddeev components are then cutoff independent for cutoffs of the order of, and above, the breakdown scale of the Halo EFT. Conclusions: As in the case of a three-body system where only resonant s-wave interactions are present, one three-body input is required for the renormalization of the EFT equations that describe 6 He at LO. However, in contrast to the s-wave-only case, the running of the LO nnα counterterm does not exhibit discrete scale invariance, due to the presence of the p-wave nα interaction.

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

Cited by 40 publications

References 64 publications

Effective field theory description of halo nuclei

Effective field theory description of halo nuclei

Combiningab initiocalculations and low-energy effective field theory for halo nuclear systems: The case of7Li+n→8Li+γ

He6nucleus in halo effective field theory

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