Neutron-3H and Proton-3He Zero Energy Scattering

Abstract

The Kohn variational principle and the (correlated) Hyperspherical Harmonics technique are applied to study the n-3H and p-3He scattering at zero energy. Predictions for the singlet and triplet scattering lengths are obtained for non-relativistic nuclear Hamiltonians including two- and three-body potentials. The calculated n-3H total cross section agrees well with the measured value, while some small discrepancy is found for the coherent scattering length. For the p-3He channel, the calculated scattering lengths are in reasonable agreement with the values extrapolated from the measurements made above 1 MeV.

13 pages, REVTEX, 1 figure

References in corpus (3)

• Quantum Monte Carlo calculations of nuclei with A \leq 7
• Study of bound and scattering states in three-nucleon systems
• Stochastic variational method with noncentral forces

Cited by in corpus (37)

• Solar fusion cross sections II: the pp chain and CNO cycles
• A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states
• Parameter-free effective field theory calculation for the solar proton-fusion and hep processes
• Signatures of three-nucleon interactions in few-nucleon systems
• The Lorentz Integral Transform (LIT) method and its applications to perturbation induced reactions
• Testing Non-local Nucleon-Nucleon Interactions in the Four-Nucleon Systems
• Four-nucleon scattering: Ab initio calculations in momentum space
• Polarization observables in p-d scattering below 30 MeV
• Calculation of the Alpha--Particle Ground State within the Hyperspherical Harmonic Basis
• Four-body calculation of proton-3He scattering
• The Ay Problem for p-3He Elastic Scattering
• Modern Ab Initio Approaches and Applications in Few-Nucleon Physics with A \ge 4
• Precision neutron interferometric measurements and updated evaluations of the n-p and n-d coherent neutron scattering lengths
• Weak proton capture on 3He
• Proton-${}^3$He elastic scattering at low energies
• Low energy $n-\nuc{3}{H}$ scattering : a novel testground for nuclear interaction
• Four-nucleon shell-model calculations in a Faddeev-like approach
• Variational Calculation on A=3 and 4 Nuclei with Non-Local Potentials
• Benchmark calculation of n-3H and p-3He scattering
• Realistic Calculation of the hep Astrophysical Factor
• Solution of n-${}^4$He elastic scattering problem using Faddeev-Yakubovsky equations
• 4He experiments can serve as a database for determining the three-nucleon force
• Calculation of the ${}^6$Li ground state within the hyperspherical harmonic basis
• Three-Nucleon Force Effects in Nucleon Induced Deuteron Breakup: Predictions of Current Models (I)
• Modern theories of low-energy astrophysical reactions
• Four-nucleon scattering with a correlated Gaussian basis method
• proton-deuteron elastic scattering above the deuteron breakup
• Application of complex-scaling method for few-body scattering
• Total cross section of the 3H(p,n)3He reaction from threshold to 4.5 MeV
• Elastic p-3He and n-3H scattering with two- and three-body forces
• Microscopic calculation of the spin-dependent neutron scattering lengths on 3He
• Solar fusion III: New data and theory for hydrogen-burning stars
• Total 4He Photoabsorption Cross Section Revisited: Correlated HH versus Effective Interaction HH
• Neutron-triton elastic scattering
• Few nucleons scattering in pionless effective field theory
• Single-particle spectroscopic strength from nucleon transfer reactions with a three-nucleon force contribution
• EFT for electroweak processes of light nuclei