Examination of the multiple-scattering expansion in the four-nucleon system

Abstract

The elastic neutron-${}^3\mathrm{H}$ scattering at intermediate energies is studied using rigorous integral equations solved in the momentum-space partial-wave basis. The four-particle transition operators are expanded into multiple-scattering series in terms of subsystem transition operators. Various approximations resulting from truncation of the series in different ways are evaluated and their validity is investigated. They fail at lower energies but at higher energies provide a rough reproduction of exact results at small scattering angles. In the large-angle region all approximations fail heavily, indicating that the scattering amplitude results from a delicate interplay of many multiple-scattering terms. The partial-wave analysis reveals that the developed approximations are reliable in higher partial waves, and for practical calculations an efficient ``hybrid'' approach is proposed, combining exact amplitudes in lower partial waves with approximations in higher partial waves. The implications for often used approximation of the first order in two-body transition matrix and development of microscopic optical potentials are discussed.

arXiv comment14 pages, 4 figures, published in Phys.Rev.C

References in corpus (21)

• A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states
• Ab Initio Many-Body Calculations of n-3H, n-4He, p-{3,4}He, and n-10Be Scattering
• Quantum Monte Carlo calculations of neutron-alpha scattering
• Testing Non-local Nucleon-Nucleon Interactions in the Four-Nucleon Systems
• Four-nucleon scattering: Ab initio calculations in momentum space
• Ab initio many-body calculations of the 3H(d,n)4He and 3He(d,p)4He fusion
• The Ay Problem for p-3He Elastic Scattering
• Ab initio predictions for polarized DT thermonuclear fusion
• Elastic proton scattering on tritium below the n-${}^{3}He$ threshold
• Benchmark calculation of n-3H and p-3He scattering
• Optical potentials for the rare-isotope beam era
• Neutron-${}^3$H scattering above the four-nucleon breakup threshold
• Solution of n-${}^4$He elastic scattering problem using Faddeev-Yakubovsky equations
• Calculation of proton-${}^3$He elastic scattering between 7 and 35 MeV
• Microscopic optical potentials derived from ab initio translationally invariant nonlocal one-body densities
• Ab initio Leading Order Effective Potentials for Elastic Nucleon-Nucleus Scattering
• Benchmark calculation of p-3H and n-3He scattering
• Calculation of multichannel reactions in the four-nucleon system above breakup threshold
• Deuteron-deuteron scattering above four-nucleon breakup threshold
• Proton-${}^3$H scattering calculation: Elastic and charge-exchange reactions up to 30 MeV
• Few body impulse and fixed scatterer approximations for high energy scattering