Electromagnetic interactions in Halo Effective Field Theory

Higa, Renato

doi:10.1051/epjconf/20100306001

Cited by 6 publications

(6 citation statements)

References 32 publications

(86 reference statements)

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“…[213,214]. An application to proton-α scattering is discussed in [215]. The same power counting also applies to the excited 1/2 + state of 17 F. Using the EFT for halo nuclei 0 as a function of the laboratory energy E Lab .…”

Section: Applications To Scatteringmentioning

confidence: 99%

“…Complementary renormalization group treatments of the pp system can be found in [213,214]. An application to proton-α scattering is discussed in [215]. The same power counting also applies to the excited 1 2 + state of 17 F. Using the formalism described above, Ryberg and collaborators calculated the electric radius and the astrophysical S-factor for lowenergy proton capture [206,207].…”

Section: Applications To Scatteringmentioning

confidence: 99%

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Effective field theory description of halo nuclei

Hammer

Chen

Phillips

2017

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

176

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: Applications To Scatteringmentioning

confidence: 99%

Section: Applications To Scatteringmentioning

confidence: 99%

Effective field theory description of halo nuclei

Hammer

Chen

Phillips

2017

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

176

238

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“…Thus we have the scattering amplitudes, A l , for l = 0, 1, 2 states in terms of the effective range parameters as [19,28] …”

Section: Scattering Amplitudes and Phase Shiftsmentioning

confidence: 99%

Elastic $\alpha$ - 12C scattering at low energies in cluster effective field theory

Ando

2016

Eur. Phys. J. A

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The elastic α-12 C scattering at low energies is studied employing an effective field theory in which the α and 12 C states are treated as elementary-like fields. We discuss scales of the theory at stellar energy region that the 12 C(α, γ) 16 O process occurs, and then obtain an expression of the elastic scattering amplitudes in terms of effective range parameters. Using experimental data of the phase shifts for l = 0, 1, 2 channels at low energies, for which the resonance regions are avoided, we fix values of the parameters and find that the phase shifts at the low energies are well reproduced by using three effective range parameters for each channel. Furthermore, we discuss problems and uncertainties of the present approach when the amplitudes are extrapolated to the stellar energy region.

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“…The correct scaling of the Coulomb momentum depends on the system considered. This is one of the issues investigated in recent studies of proton halo nuclei and their electromagnetic structure and reactions [33][34][35][36][37][38]. For a discussion of radiative proton capture on 7 Be at this conference, see Ref.…”

Section: Halo Eftmentioning

confidence: 99%

Few-Body Universality in Halo Nuclei

Hammer

2016

EPJ Web of Conferences

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Abstract. Few-body systems with resonant S-wave interactions show universal properties which are independent of the interaction at short distances. These properties include a geometric spectrum of three-and higher-body bound states and universal correlations between few-body observables. They can be observed on a wide range of scales from hadrons and nuclei to ultracold atoms. In this contribution, we focus on few-body universality in halo nuclei which can be considered as effective few-body systems consisting of halo nucleons and a core. This concept provides a unifying framework for halo nuclei with calculable corrections. Recent progress in this field with an emphasis on the possibility of finding Efimov states in halo nuclei is discussed.

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Electromagnetic interactions in Halo Effective Field Theory

Cited by 6 publications

References 32 publications

Effective field theory description of halo nuclei

Effective field theory description of halo nuclei

Elastic $\alpha$ - 12C scattering at low energies in cluster effective field theory

Few-Body Universality in Halo Nuclei

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