Calculation of neutron-${}^3$He scattering up to 30 MeV

Abstract

Microscopic calculations of four-body collisions become very challenging in the energy regime above the threshold for four free particles. The neutron-${}^3$He scattering is an example of such process with elastic, rearrangement, and breakup channels. We aim to calculate observables for elastic and inelastic neutron-${}^3$He reactions up to 30 MeV neutron energy using realistic nuclear force models. We solve the Alt, Grassberger, and Sandhas (AGS) equations for the four-nucleon transition operators in the momentum-space framework. The complex-energy method with special integration weights is applied to deal with the complicated singularities in the kernel of AGS equations. We obtain fully converged results for the differential cross section and neutron analyzing power in the neutron-${}^3$He elastic scattering as well as the total cross sections for inelastic reactions. Several realistic potentials are used, including the one with an explicit $\Delta$ isobar excitation. There is reasonable agreement between the theoretical predictions and experimental data for the neutron-${}^3$He scattering in the considered energy regime. The most remarkable disagreements are seen around the minimum of the differential cross section and the extrema of the neutron analyzing power. The breakup cross section increases with energy exceeding rearrangement channels above 23 MeV.

8 pages, 6 figures, submitted to Phys. Rev. C

References in corpus (10)

• A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states
• Four-nucleon scattering: Ab initio calculations in momentum space
• Ab initio four-body calculation of n-3He, p-3H, and d-d scattering
• Four-body calculation of proton-3He scattering
• Elastic proton scattering on tritium below the n-${}^{3}He$ threshold
• Four-nucleon system with $\Delta$-isobar excitation
• Neutron-${}^3$H scattering above the four-nucleon breakup threshold
• Calculation of proton-${}^3$He elastic scattering between 7 and 35 MeV
• Calculation of multichannel reactions in the four-nucleon system above breakup threshold
• The parity-violating asymmetry in the 3He(n,p)3H reaction

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• Deuteron-deuteron scattering above four-nucleon breakup threshold
• Four-body calculation of elastic deuteron-deuteron scattering
• Proton-${}^3$H scattering calculation: Elastic and charge-exchange reactions up to 30 MeV
• Studies of the Three-Body Breakup in Deuteron-Deuteron Collisions near the Quasi-Free Limit at 160 MeV
• Investigation of the Cross Section for dd Elastic Scattering and dd$\to$ n${}^3$He Reactions at 160 MeV
• Calculation of expectation values of operators in the Complex Scaling method
• Non-Hermitian quantum mechanics approach for extracting and emulating continuum physics based on bound-state-like calculations: Detailed description
• Non-Hermitian Quantum Mechanics Approach for Extracting and Emulating Continuum Physics Based on Bound-State-Like Calculations
• Precision measurements of differential cross sections and analyzing powers in elastic deuteron-deuteron scattering at 65 MeV/nucleon
• Deuteron-${}^3\mathrm{He}$ scattering using nucleon-${}^3\mathrm{He}$ optical potentials fitted to four-body amplitudes