Modern nuclear force predictions for the neutron-deuteron scattering lengths

Abstract

The nd doublet and quartet scattering lengths have been calculated based on the modern NN and 3N interactions. We also studied the effect of the electromagnetic interactions in the form introduced in AV18. Switching them off for the various nuclear force models leads to shifts of up to +0.04 fm for doublet scattering length, which is significant for present day standards. The electromagnetic effects have also a noticeable effect on quartet scattering length, which otherwise is extremely stable under the exchange of the nuclear forces. For the current nuclear force models there is a strong scatter of the 3H binding energy and the doublet scattering length values around an averaged straight line (Phillips line). This allows to use doublet scattering length and the 3H binding energy as independent low energy observables.

16 pages, 1 table, 4 ps figures

References in corpus (3)

• Three-Nucleon Forces from Chiral Effective Field Theory
• Low Energy Expansion in the Three Body System to All Orders and the Triton Channel
• Lorentz Boosted NN Potential for Few-Body Systems: Application to the three-nucleon bound state

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• Up-to N${}^3$LO heavy-baryon chiral perturbation theory calculation for the M1 properties of three-nucleon systems
• The triton with long-range chiral N3LO three nucleon forces
• Calculations of three-nucleon reactions with N3LO chiral forces: achievements and challenges
• Two-Body Electrodisintegration of ${}^3$He at High Momentum Transfer
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• The Tucson-Melbourne Three-Nucleon Force in the automatized Partial Wave Decomposition
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• Few nucleons scattering in pionless effective field theory
• Proton-${}^3\mathrm{He}$ elastic scattering at intermediate energies
• Three-nucleon system: Irreducible and reducible contributions of the three-nucleon force
• Few-body universality in the deuteron-alpha system
• The Born series for $S$-wave quartet $nd$ scattering at small cutoff values
• Precision neutron interferometric measurements of the n-p, n-d, and n-3He zero-energy coherent neutron scattering amplitudes
• $nd$ scattering lengths from a quark-model based $NN$ interaction
• Significance of chiral three-nucleon force contact terms for understanding of elastic nucleon-deuteron scattering