Modern Chiral Forces Applied to the Neutron-Deuteron Breakup Reaction

Roman Skibiński,Kacper Topolnicki,Jacek Golak,Yuriy Volkotrub,Henryk Witała,Volodymyr Soloviov

doi:10.1007/s00601-021-01648-7

Roman Skibiński, Kacper Topolnicki + Show 4 more

Open Access

https://doi.org/10.1007/s00601-021-01648-7

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Abstract

We report on applications of the recent chiral potentials from the Bochum-Bonn group to the description of the neutron induced deuteron breakup observables. Specifically, we discuss the convergence of predictions with respect to the chiral order and the dependence of our results on the value of the regularization parameter. To that end we use the chiral forces with semi-local coordinate or momentum space regularization up to the N^4LO^+ order of chiral expansion. We find a satisfactory picture revealing high quality of the chiral forces used.

Highlights

After a long period of research focused on the phenomenological or meson-exchange based models, investigations of nuclear forces got a new impetus with the development of the chiral perturbation theory
After applying higher-order chiral components it became clear, that a more sophisticated way of regularization is required [10,11,12]. Meeting this requirement E.Epelbaum and collaborators proposed firstly a new interaction with a semi-local regularization applied in coordinate space (SCS) [13,14,15] and later the so-called SMS force [16] for which the semi-local regularization was applied directly in momentum space
Few other improvements and developments introduced in the SMS force [16] are: fixing the pion-nucleon low energy constants using the Roy-Steiner analysis [17], removing redundant structures at the higher orders of the chiral expansion, using the Granada self-consistent data base [18] to fix free parameters of the potential and availability of covariance matrix of potential parameters

Summary

Introduction

After a long period of research focused on the phenomenological or meson-exchange based models, investigations of nuclear forces got a new impetus with the development of the chiral perturbation theory. Few other improvements and developments introduced in the SMS force [16] are: fixing the pion-nucleon low energy constants using the Roy-Steiner analysis [17], removing redundant structures at the higher orders of the chiral expansion, using the Granada self-consistent data base [18] to fix free parameters of the potential and availability of covariance matrix of potential parameters. The latter has been recently used for estimation some theoretical uncertainties of Nd observables [19] as well as to study correlations among 3N observables [20].

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Formalism

Results

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