Partial-wave correlations with uncertainties in the two-nucleon system

Guevara, Adolfo; Pérez, R. Navarro; Arriola, E. Ruiz

doi:10.1103/physrevc.104.054002

Cited by 5 publications

(1 citation statement)

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“…In addition, in Ref. [31] correlations among partial wave dependent parameters in NN scattering, arising form the experimental data have been discussed in the context of uncertainty of models of the nuclear interaction. None of these works is focused on correlations in the context of three-nucleon observables.…”

Section: Introductionmentioning

confidence: 99%

Correlations among neutron-proton and neutron-deuteron elastic scattering observables

Volkotrub,

Skibiński,

Golak

et al. 2022

Preprint

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We employ two models of the nucleon-nucleon force: the OPE-Gaussian as well as the chiral N 4 LO and N 4 LO + interactions with semilocal regularization in momentum space to study correlations among two-nucleon and three-nucleon elastic scattering observables. These models contain a number of free parameters whose values and covariance matrices are evaluated from a fit to the two-nucleon data. Such detailed knowledge of parameters allows us to create, using various sets of statistically generated parameters, numerous versions of these potentials and next apply them to two-and three-nucleon scattering to make predictions of various observables at the reaction energies up to 200 MeV. This permits a systematic analysis of correlations among two-nucleon and three-nucleon observables, basing on a relatively big sample of predictions. We found that most observables in neutron-proton and neutron-deuteron systems are uncorrelated, but there are exceptions revealing strong correlations, which depend on the reaction energy and scattering angle. This information may be useful for precise fixing free parameters of two-nucleon and three-nucleon forces and for understanding dependencies and correlations between potential parameters and observables.

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Section: Introductionmentioning

confidence: 99%