New developments in reaction theory: preparing for the FRIB era

Nunes, F. M.; Capel, Pierre; Elster, Ch.; Hlophe, L.; Lei, Jin; Li, Weichuan; Lovell, A. E.; Potel, G.; Rotureau, J.; Poxon-Pearson, T.

doi:10.1051/epjconf/201817803001

Cited by 3 publications

(5 citation statements)

References 18 publications

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“…Examples of applications include the analysis of scattering and transfer of halo nuclei as well as other reaction channels [34,35,36]. Note that the solution of the Faddeev equations for systems with strong Coulomb becomes very challenging because the equations become non-compact [37]. Work to address this challenge using separable interactions is underway [38,39,40].…”

Section: Overview Of Few-body Methodsmentioning

confidence: 99%

From bound states to the continuum

Johnson,

Launey,

Auerbach

et al. 2019

Preprint

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One of the biggest and most important frontiers in nuclear theory today is to construct better and stronger bridges between bound state calculations and calculations in the continuum, especially elastic and inelastic scattering (reaction) theory, as well as teasing out the influence of the continuum on states near threshhold. This is particularly challenging as most many-body calculations are in a bound state formalism, while reaction calculations are more commonly in a few-body formalism. Furthermore many-body and few-body formalisms often use different language and emphasize different properties. To build better foundations for these bridges, we present an overview of bound state and continuum methods and, where possible, point to current and possible future connections. 4.2 Response functions and sum rules based on bound state techniques . . . . . . . . . 32 4.3 Double charge-exchange transitions and the double Gamow-Teller resonance from the shell model . .

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Section: Overview Of Few-body Methodsmentioning

confidence: 99%

From bound states to the continuum

Johnson,

Launey,

Auerbach

et al. 2019

Preprint

Self Cite

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“…The system will be renormalized using the three-body coupling C 0 (Λ) of Eq. (6). It enters the interaction matrix of Eq.…”

Section: Unphysical Deep Bound Statesmentioning

confidence: 99%

“…It is worth noting that this approach does not only take care of higher partial waves between core-deuteron and proton-11 Be. In fact, it automatically includes higher partial waves in each two-body sector (neutron-proton, 6 neutron-core, proton-core) due to breakup within the −iV σd and −iV dσ diagrams; see Fig. 3.…”

Section: Partial Wave Channelsmentioning

confidence: 99%

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Neutron transfer reactions in halo effective field theory

2019

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Direct reaction experiments provide a powerful tool to probe the structure of neutron-rich nuclei like beryllium-11. We use halo effective field theory to calculate the cross section of the deuteroninduced neutron transfer reaction 10 Be(d, p) 11 Be. The effective theory contains dynamical fields for the beryllium-10 core, the neutron, and the proton. In contrast, the deuteron and the beryllium-11 halo nucleus are generated dynamically from contact interactions using experimental and ab initio input. Breakup contributions are then included by construction. The reaction amplitude is constructed up to next-to-leading order in an expansion in the ratio of the length scales characterizing the core and the halo. The Coulomb repulsion between core and proton is treated perturbatively. Finally, we compare our results to cross-section data and other calculations. arXiv:1812.09152v2 [nucl-th]

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“…Examples of applications include the analysis of scattering and transfer of halo nuclei as well as other reaction channels [86][87][88]. Note that the solution of the Faddeev equations for systems with the Coulomb interaction becomes very challenging because the equations become non-compact [89]. Work to address this challenge using separable interactions is underway [90][91][92].…”

Section: The Standard Toolkitmentioning

confidence: 99%

White paper: from bound states to the continuum

Johnson

Launey

Auerbach

et al. 2020

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

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This white paper reports on the discussions of the 2018 Facility for Rare Isotope Beams Theory Alliance (FRIB-TA) topical program ‘From bound states to the continuum: Connecting bound state calculations with scattering and reaction theory’. One of the biggest and most important frontiers in nuclear theory today is to construct better and stronger bridges between bound state calculations and calculations in the continuum, especially scattering and reaction theory, as well as teasing out the influence of the continuum on states near threshold. This is particularly challenging as many-body structure calculations typically use a bound state basis, while reaction calculations more commonly utilize few-body continuum approaches. The many-body bound state and few-body continuum methods use different language and emphasize different properties. To build better foundations for these bridges, we present an overview of several bound state and continuum methods and, where possible, point to current and possible future connections.

show abstract

New developments in reaction theory: preparing for the FRIB era

Cited by 3 publications

References 18 publications

From bound states to the continuum

From bound states to the continuum

Neutron transfer reactions in halo effective field theory

White paper: from bound states to the continuum

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