The longitudinal response function of the deuteron in chiral effective field theory

Yang, Chieh-Jen; Phillips, Daniel R.

doi:10.1140/epja/i2013-13122-8

Cited by 5 publications

(17 citation statements)

References 70 publications

(125 reference statements)

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“…These results match those of Ref. [34,40], verifying the accuracy of the calculations presented above.…”

Section: B Calculating Flsupporting

confidence: 90%

“…This range was chosen to cover a variety of kinematics and motivated by the set covered in Ref. [34]. We use the Argonne v 18 potential (AV18) [48] for our calculations.…”

Section: B Overview Of Numerical Resultsmentioning

confidence: 99%

“…In the present paper, we will illustrate the combined interplay with quantitative calculations. We build upon previous work by Anderson et al on SRG operator evolution for the deuteron [4], and the work by Yang and Phillips [34] in applying chiral EFT to deuteron electrodisintegration. This paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

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Deuteron electrodisintegration with unitarily evolved potentials

König

Furnstahl

et al. 2015

Phys. Rev. C

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Renormalization group (RG) methods used to soften Hamiltonians for nuclear many-body calculations change the effective resolution of the interaction. For nucleon knock-out processes, these RG transformations leave cross sections invariant, but initial-state wave functions, interaction currents, and final-state interactions are individually altered. This has implications for the factorization of nuclear structure and reactions. We use deuteron electrodisintegration as a controlled laboratory for studying how structure and reaction components are modified under RG evolution, without the complication of three-body forces or currents. The dependence of these changes on kinematics is explored.Comment: 17 pages, 13 figures, published versio

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“…These results match those of Ref. [34,40], verifying the accuracy of the calculations presented above.…”

Section: B Calculating Flsupporting

confidence: 90%

“…This range was chosen to cover a variety of kinematics and motivated by the set covered in Ref. [34]. We use the Argonne v 18 potential (AV18) [48] for our calculations.…”

Section: B Overview Of Numerical Resultsmentioning

confidence: 99%

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Deuteron electrodisintegration with unitarily evolved potentials

König

Furnstahl

et al. 2015

Phys. Rev. C

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“…Recently, Yang and Phillips performed a χEFT calculation of the deuteron longitudinal response function in Ref. [181]. They have employed N2LO (ν = 3) wave functions from χEFT power counting and their subtractive renormalization method [182].…”

Section: Inelastic Scatteringmentioning

confidence: 99%

Electromagnetic reactions on light nuclei

Bacca

Pastore

2014

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

120

171

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Abstract. Electromagnetic reactions on light nuclei are fundamental to advance our understanding of nuclear structure and dynamics.The perturbative nature of the electromagnetic probes allows to clearly connect measured cross sections with the calculated structure properties of nuclear targets. We present an overview on recent theoretical abinitio calculations of electron-scattering and photonuclear reactions involving light nuclei. We encompass both the conventional approach and the novel theoretical framework provided by chiral effective field theories. Because both strong and electromagnetic interactions are involved in the processes under study, comparison with available experimental data provides stringent constraints on both many-body nuclear Hamiltonians and electromagnetic currents. We discuss what we have learned from studies on electromagnetic observables of light nuclei, starting from the deuteron and reaching up to nuclear systems with mass number A = 16.

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“…To further simplify our analysis, we focus on the longitudinal structure function f L , which up to some kinematic factors is related to an experimental cross section and is therefore an RG-invariant observable. The longi-tudinal structure function is given by [30,31]…”

Section: A Deuteron Electrodisintegration Formalismmentioning

confidence: 99%

Scale dependence of deuteron electrodisintegration

Bogner

Furnstahl

2017

Phys. Rev. C

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Background: Isolating nuclear structure properties from knock-out reactions in a process-independent manner requires a controlled factorization, which is always to some degree scale and scheme dependent. Understanding this dependence is important for robust extractions from experiment, to correctly use the structure information in other processes, and to understand the impact of approximations for both.Purpose: We seek insight into scale dependence by exploring a model calculation of deuteron electrodisintegration, which provides a simple and clean theoretical laboratory.Methods: By considering various kinematic regions of the longitudinal structure function, we can examine how the components-the initial deuteron wave function, the current operator, and the final state interactions (FSI)-combine at different scales. We use the similarity renormalization group (SRG) to evolve each component.Results: When evolved to different resolutions, the ingredients are all modified, but how they combine depends strongly on the kinematic region. In some regions, for example, the FSI are largely unaffected by evolution, while elsewhere FSI are greatly reduced. For certain kinematics, the impulse approximation at a high RG resolution gives an intuitive picture in terms of a one-body current breaking up a short-range correlated neutron-proton pair, although FSI distort this simple picture. With evolution to low resolution, however, the cross section is unchanged but a very different and arguably simpler intuitive picture emerges, with the evolved current efficiently represented at low momentum through derivative expansions or low-rank singular value decompositions. Conclusions:The underlying physics of deuteron electrodisintegration is scale dependent and not just kinematics dependent. As a result, intuition about physics such as the role of short-range correlations or D-state mixing in particular kinematic regimes can be strongly scale dependent. Understanding this dependence is crucial in making use of extracted properties.

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The longitudinal response function of the deuteron in chiral effective field theory

Cited by 5 publications

References 70 publications

Deuteron electrodisintegration with unitarily evolved potentials

Deuteron electrodisintegration with unitarily evolved potentials

Electromagnetic reactions on light nuclei

Scale dependence of deuteron electrodisintegration

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