Dispersive corrections in elastic electron-nucleus scattering: an investigation in the intermediate energy regime and their impact on the nuclear matter

Guèye, P.; Kabir, A.; Giuliani, Pablo; Glister, J.; Lee, B. W.; Gilman, R.; Higinbotham, D. W.; Piasetzky, E.; Ron, G.; Sarty, A. J.; Strauch, S.; Adeyemi, Adeleke; Allada, K.; Armstrong, W.; Arrington, J.; Arenaövel, H.; Beck, A.; Benmokhtar, F.; Berman, B.L.; Boeglin, W.; Brash, E. J.; Camsonne, A.; Calarco, J. R.; Chen, J. P.; Choi, S.; Chudakov, E.; Coman, L.; Craver, B.; Cusanno, F.; Dumas, J.; Dutta, C.; Feuerbach, R. J.; Freyberger, A.; Frullani, S.; Garibaldi, F.; Hansen, J. O.; Holmstrom, T.; Hyde, C.; Ibrahim, H.; Ilieva, Y.; Jiang, X.; Jones, M.; Katramatou, A. T.; Kelleher, A.; Khrosinkova, E.; Kuchina, E.; Kumbartzki, G.; LeRose, J.; Lindgren, R.; Markowitz, P.; Beck, S. May-Tal; McCullough, Edwin C.; Meekins, D.; Meziane, M.; Meziani, Z. E.; Michaels, R.; Moffit, B.; Norum, B.; Petratos, G. G.; Oh, Yongseok; Olson, M.; Paolone, M.; Paschke, K.; Perdrisat, C. F.; Potokar, M.; Pomatsalyuk, R.; Pomerantz, I.; Puckett, A. J. R.; Punjabi, V.; Qian, X.; Yu, Qiang; Ransome, R. D.; Reyhan, Meral; Roche, J.; Rousseau, Yannick; Sawatzky, B.; Schulte, E.; Schwamb, M.; Shabestari, M.; Shahinyan, A.; Shneor, R.; Širca, S.; Slifer, K.; Solvignon, P.; Song, J.; Sparks, R.J.; Subedi, R.; Urciuoli, G. M.; Wang, K.; Wojtsekhowski, B.; Yan, Xiao-Bo; Huang, Yao; Zhan, X.; Zhu, X.

doi:10.1140/epja/s10050-020-00135-7

Cited by 6 publications

(1 citation statement)

References 43 publications

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“…The influence of transiently excited nuclear states in highenergy elastic electron-nucleus scattering has attracted a great deal of interest lately, both experimentally [1][2][3][4][5] and theoretically [6,7]. A yet unresolved problem concerns the influence of these dispersion effects on the spin asymmetry for electrons polarized perpendicular to the beam axis.…”

mentioning

confidence: 99%

Dispersion effects in elastic electron scattering from Pb208

Jakubassa-Amundsen,

Roca-Maza

2023

Phys. Rev. C

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Dispersion corrections to elastic electron scattering from 208 Pb at energies up to 150 MeV are estimated within the second-order Born approximation. All strong transient nuclear excited states with angular momentum up to L = 3 and natural parity are taken into consideration. It is found that at small scattering angles the high-lying L = 1 isovector states provide the dominant contribution to the dispersive change of the differential cross section and of the beam-normal spin asymmetry. At the back-most angles these changes are considerably smaller and are basically due to the isoscalar L = 2 and, to a lesser extent, L = 3 states. In comparison with the findings for 12 C, the dispersive cross-section modifications for 208 Pb are significantly larger, while the spin-asymmetry changes are much smaller at all angles. The latter originates from the destructive interference of the multipole contributions in 208 Pb that switch sign when proceeding from L to L + 1. This mechanism might be the origin of the small beam-normal spin asymmetries recently measured in 208 Pb at much larger energies.

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confidence: 99%

Dispersion effects in elastic electron scattering from Pb208

Jakubassa-Amundsen,

Roca-Maza

2023

Phys. Rev. C

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Elastic scattering of electrons and positrons from alkali atoms

Saha¹,

Jakubaßa-Amundsen²,

Basak³

et al. 2022

Advances in Quantum Chemistry

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From noise to information: The transfer function formalism for uncertainty quantification in reconstructing the nuclear density

Giuliani

Piekarewicz

2021

Phys. Rev. C

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Background: The neutron distribution of neutron-rich nuclei provides critical information on the structure of finite nuclei and neutron stars. Parity violating experiments -such as PREX and CREX -provide a clean and largely model-independent determination of neutron densities. Such experiments, however, are challenging and expensive which is why sound statistical arguments are required to maximize the information gained.Purpose: To introduce a new framework, "the transfer function formalism", aimed at uncertainty quantification, model selection, and experimental design in the context of neutron densities.Methods: The transfer functions (TFs) are built analytically by expressing the linear response of the objective function (e.g., χ 2 ) to small perturbations of the data. Using the TF formalism, we are able to analyze the expected overall uncertainty -quantified in terms of bias and varianceof the mean square radius and interior density of 48 Ca and 208 Pb.Results: Using relativistic mean field models as a proxy for the weak-charge density -and assuming that a total of five measurements could be performed on the weak form factor of 48 Ca and 208 Pb -we identify the optimal models and experimental locations that minimize the uncertainty in the extraction of the radius and interior density. We also explore the use of the TF formalism to understand the influence of prior distributions for the model parameters, as well as the optimization of model hyperparameters not constrained by the data.Conclusions: We establish how the choice of experimental locations and the model that is used can have a significant impact on the final uncertainties of the extracted quantities of interest. For challenging experiments such as CREX and PREX, a proper quantification of such uncertainties is critical. We have demonstrated how the TF formalism provides several advantages for this type of analysis.

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Dispersive corrections in elastic electron-nucleus scattering: an investigation in the intermediate energy regime and their impact on the nuclear matter

Cited by 6 publications

References 43 publications

Dispersion effects in elastic electron scattering from Pb208

Dispersion effects in elastic electron scattering from Pb208

Elastic scattering of electrons and positrons from alkali atoms

From noise to information: The transfer function formalism for uncertainty quantification in reconstructing the nuclear density

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