Deuteron electrodisintegration with unitarily evolved potentials

More, S. N.; König, S.; Furnstahl, R. J.; Hebeler, K.

doi:10.1103/physrevc.92.064002

Cited by 21 publications

(30 citation statements)

References 47 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The deuteron electrodisintegration process is an ideal test ground for a robust analysis of knock-out reaction scale dependence because we are able to calculate all of the components accurately at different resolutions for a given approximation [30]. The d(e, e p)n reaction is the simplest knock-out process and is widely used for benchmarking nucleon-nucleon (NN) interactions [31].…”

Section: A Deuteron Electrodisintegration Formalismmentioning

confidence: 99%

“…A recent paper [30] made the first SRG application to the simplest, cleanest knock-out reaction: deuteron electrodisintegration. This process provides an excellent laboratory for exploring issues of scale dependence.…”

Section: Introductionmentioning

confidence: 99%

“…This process provides an excellent laboratory for exploring issues of scale dependence. Reference [30] considered various kinematic regions of the longitudinal structure function f L and showed how the different ingredients for calculating this observabledeuteron wave function, zeroth component of the electromagnetic current, relative scattering wave function for the final proton and neutron -evolved under a change of scale. Each ingredient changed via an SRG unitary transformation in such a way to leave f L unchanged.…”

Section: Introductionmentioning

confidence: 99%

“…In Section II we recap details and results of Ref. [30], and review some relevant SRG formalism and results. We analyze deuteron electrodisintegration at different resolution scales for particular kinematics in Section III that show strong effects of evolution, including greatly reduced FSI, and demonstrate that the induced two-body current can be expanded efficiently.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Scale dependence of deuteron electrodisintegration

Bogner

Furnstahl

2017

Phys. Rev. C

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: A Deuteron Electrodisintegration Formalismmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Scale dependence of deuteron electrodisintegration

Bogner

Furnstahl

2017

Phys. Rev. C

Self Cite

View full text Add to dashboard Cite

show abstract

“…. interactions and to general observables [23,[91][92][93][94][95][96]. Moreover, we could easily achieve a block decoupling as in Fig.…”

Section: Srg In the Two-nucleon Systemmentioning

confidence: 99%

In-Medium Similarity Renormalization Group Approach to the Nuclear Many-Body Problem

Hergert

Bogner

Lietz

et al. 2017

An Advanced Course in Computational Nuclear Physics

View full text Add to dashboard Cite

We present a pedagogical discussion of Similarity Renormalization Group (SRG) methods, in particular the In-Medium SRG (IMSRG) approach for solving the nuclear manybody problem. These methods use continuous unitary transformations to evolve the nuclear Hamiltonian to a desired shape. The IMSRG, in particular, is used to decouple the ground state from all excitations and solve the many-body Schrödinger equation. We discuss the IM-SRG formalism as well as its numerical implementation, and use the method to study the pairing model and infinite neutron matter. We compare our results with those of Coupled cluster theory (Chapter 8), Configuration-Interaction Monte Carlo (Chapter 9), and the SelfConsistent Green's Function approach discussed in Chapter 11. The chapter concludes with an expanded overview of current research directions, and a look ahead at upcoming developments.

show abstract

Deuteron electrodisintegration with unitarily evolved potentials

Cited by 21 publications

References 47 publications

Scale dependence of deuteron electrodisintegration

Scale dependence of deuteron electrodisintegration

In-Medium Similarity Renormalization Group Approach to the Nuclear Many-Body Problem

Three-nucleon forces: Implementation and applications to atomic nuclei and dense matter

Contact Info

Product

Resources

About