This title appears in the Scientific Report :
2020
Please use the identifier:
http://hdl.handle.net/2128/26761 in citations.
Please use the identifier: http://dx.doi.org/10.1007/s00601-020-01578-w in citations.
Scattering Observables from One- and Two-body Densities: Formalism and Application to $$\pmb \gamma $$ $${}^3\hbox {He}$$ Scattering
Scattering Observables from One- and Two-body Densities: Formalism and Application to $$\pmb \gamma $$ $${}^3\hbox {He}$$ Scattering
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...
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Personal Name(s): | Grießhammer, Harald W. (Corresponding author) |
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McGovern, Judith A. / Nogga, Andreas / Phillips, Daniel R. | |
Contributing Institute: |
Theorie der Starken Wechselwirkung; IAS-4 JARA - HPC; JARA-HPC Theorie der starken Wechselwirkung; IKP-3 |
Published in: | Few-body systems, 61 (2020) 4, S. 48 |
Imprint: |
Wien [u.a.]
Springer
2020
|
DOI: |
10.1007/s00601-020-01578-w |
Document Type: |
Journal Article |
Research Program: |
Chiral dynamics in Few-Baryon Systems TRR 110: Symmetrien und Strukturbildung in der Quantenchromodynamik Computational Science and Mathematical Methods |
Link: |
Published on 2020-11-19. Available in OpenAccess from 2021-11-19. Restricted |
Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.1007/s00601-020-01578-w in citations.
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. |