<i>Ab initio</i>
 nucleon-nucleus elastic scattering with chiral effective field theory uncertainties

Baker, Robert; McClung, B.; Elster, Ch.; Maris, Pieter; Weppner, S. P.; Burrows, M.; Popa, Gabriela

doi:10.1103/physrevc.106.064605

Cited by 4 publications

(9 citation statements)

References 53 publications

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“…In Figure 11B for 12 C, the comparisons are roughly similar to the 16 O case, but for the 4 He analysis (Figure 11A), the differences are more pronounced, especially for the lower laboratory energies. A similar analysis of neutron scattering on 12 C did not show any significant differences between the two values [43], which implies 4 He may be the outlier in this approach. This analysis may imply scattering from 4 He with projectiles at lower energies could be analyzed with a smaller expansion parameter Q, though the higher energy results still favor the larger expansion parameter.…”

Section: Analysis Of Posteriorsmentioning

confidence: 73%

“…Previous scattering works [36,43] have noted that various results indicate, when identifying the relevant momentum, the momentum transfer q should also be considered. That is, the expansion parameter would be more appropriately defined as…”

Section: Chiral Truncation Uncertainties In the Leading Order Optical...mentioning

confidence: 99%

“…This pointwise approach was previously implemented in Refs. [36,43] and it starts by assuming the expansion parameter Q and reference scale y ref are known. From there, we can apply Eq.…”

Section: Pointwise Truncation Uncertaintiesmentioning

confidence: 99%

“…While this situation is not ideal, we non-etheless find support for it in our analysis after examining the posteriors for Q, in accordance with Refs. [36,43].…”

Section: Analysis Of Posteriorsmentioning

confidence: 99%

“…The theoretical and computational developments leading to ab initio NA effective interactions (in leading order in the spectator expansion) are described in a serious of publications by the authors [39][40][41][42][43] and others (see e. g. [44][45][46][47]). Thus the aim of this review is to shed light on truncation uncertainties in the chiral expansion, and within that context give a perspective on intricacies of the spectator expansion as well as the explicit content of its leading order term, which can now be calculated ab initio.…”

Section: Introductionmentioning

confidence: 99%

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Chiral uncertainties in ab initio elastic nucleon-nucleus scattering

Baker¹,

Burrows²,

Elster³

et al. 2023

Front. Phys.

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The effective interaction between a nucleon and a nucleus is one of the most important ingredients for reaction theories. Theoretical formulations were introduced early by Feshbach and Watson, and efforts of deriving and computing those ‘optical potentials’ in a microscopic fashion have a long tradition. However, only recently the leading order term in the Watson multiple scattering approach could be calculated fully ab initio, meaning that the same nucleon-nucleon (NN) interaction enters both the structure as well as the reaction pieces on equal footing. This allows the uncertainties from the underlying chiral effective NN interaction to be systematically explored in nucleon-nucleus elastic scattering observables. In this contribution the main ingredients for arriving at the ab initio leading order of the effective nucleon-nucleus interaction in the Watson approach will be reviewed. Concentrating on one specific chiral NN interaction from the LENPIC collaboration and light nuclei with a 0+ ground state, the leading order nucleon-nucleus interaction is calculated using up to the third chiral order (N2LO) in the nucleon-nucleon potential, and elastic scattering observables are extracted. Then pointwise as well as correlated uncertainty quantification is used for the estimation of the chiral truncation error. Elastic scattering observables for 4He, 12C, and 16O for between 65 and 200 MeV projectile energy will be analyzed.

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Section: Analysis Of Posteriorsmentioning

confidence: 73%

Section: Chiral Truncation Uncertainties In the Leading Order Optical...mentioning

confidence: 99%

“…This pointwise approach was previously implemented in Refs. [36,43] and it starts by assuming the expansion parameter Q and reference scale y ref are known. From there, we can apply Eq.…”

Section: Pointwise Truncation Uncertaintiesmentioning

confidence: 99%

“…While this situation is not ideal, we non-etheless find support for it in our analysis after examining the posteriors for Q, in accordance with Refs. [36,43].…”

Section: Analysis Of Posteriorsmentioning

confidence: 99%