Journal Article

FZJ-2021-00177

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Scattering Observables from One- and Two-body Densities: Formalism and Application to $$\pmb \gamma $$ $${}^3\hbox {He}$$ Scattering

Grießhammer, H. W. (Corresponding author) ; McGovern, J. A. ; Nogga, A.FZJ* ; Phillips, D. R.

2020
Springer Wien [u.a.]

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Please use a persistent id in citations: http://hdl.handle.net/2128/26761  doi:10.1007/s00601-020-01578-w

Abstract: We introduce the transition-density formalism, an efficient and general method for calculating the interaction of external probes with light nuclei. One- and two-body transition densities that encode the nuclear structure of the target are evaluated once and stored. They are then convoluted with an interaction kernel to produce amplitudes, and hence observables. By choosing different kernels, the same densities can be used for any reaction in which a probe interacts perturbatively with the target. The method therefore exploits the factorisation between nuclear structure and interaction kernel that occurs in such processes. We study in detail the convergence in the number of partial waves for matrix elements relevant in elastic Compton scattering on 3He. The results are fully consistent with our previous calculations in Chiral Effective Field Theory. But the new approach is markedly more computationally efficient, which facilitates the inclusion of more partial-wave channels in the calculation. We also discuss the usefulness of the transition-density method for other nuclei and reactions. Calculations of elastic Compton scattering on heavier targets like 4He are straightforward extensions of this study, since the same interaction kernels are used. And the generality of the formalism means that our 3He densities can be used to evaluate any 3Heelastic-scattering observable with contributions from one- and two-body operators. They are available at https://datapub.fz-juelich.de/anogga.

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Contributing Institute(s):

1. Theorie der Starken Wechselwirkung (IAS-4)
2. Theorie der starken Wechselwirkung (IKP-3)
3. JARA - HPC (JARA-HPC)

Research Program(s):

1. 511 - Computational Science and Mathematical Methods (POF3-511) (POF3-511)
2. DFG project 196253076 - TRR 110: Symmetrien und Strukturbildung in der Quantenchromodynamik (196253076) (196253076)
3. Chiral dynamics in Few-Baryon Systems (jikp03_20190501) (jikp03_20190501)

Appears in the scientific report 2020

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Database coverage:
; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DEAL Springer ; Ebsco Academic Search ; Essential Science Indicators ; IF < 5 ; JCR ; Nationallizenz ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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