Abstract
We demonstrate a computational scheme which drastically decreases the required time to get theoretical predictions based on chiral two- and three-nucleon forces for observables in three-nucleon continuum. For a three-nucleon force containing N short-range terms all workload is reduced to solving N+1 Faddeev-type integral equations. That done, computation of observables for any combination of strengths of the contact terms is done in a flash. We demonstrate on example of the elastic nucleon-deuteron scattering observables the high precision of the proposed emulator and its capability to reproduce exact results.
Highlights
Since the birth of nuclear physics the nuclear force problem has been at the centre of experimental and theoretical studies
A major breakthrough occurred with the emergence of the effective field theory (EFT) concept [2], which paved the way for developing precise nuclear forces [3,4,5,6]
In the present study we introduce a new computational scheme, based on the perturbative approach of [25], which even by far more reduces the computer time required to obtain the observables in the elastic nucleon-deuteron scattering and deuteron breakup reactions at any energy, and which is well-suited for calculations with varying strengths of the contact terms in a chiral 3N force (3NF)
Summary
Since the birth of nuclear physics the nuclear force problem has been at the centre of experimental and theoretical studies. Using chiral 3NF in 3N continuum requires numerous time consuming computations with varying strengths of the contact terms in order to establish their values They can be determined for example from the 3H binding energy and the minimum of the elastic Nd scattering differential cross section at the energy (Elab ≈ 70 MeV), where the effects of 3NF start to emerge in elastic Nd scattering [23,24]. In the present study we introduce a new computational scheme, based on the perturbative approach of [25], which even by far more reduces the computer time required to obtain the observables in the elastic nucleon-deuteron scattering and deuteron breakup reactions at any energy, and which is well-suited for calculations with varying strengths of the contact terms in a chiral 3NF
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