2006/11/30 by A. Deltuva, A. C. Fonseca
Mathematics · Physics and Astronomy · #Atomic and Molecular Physics #Atomic physics #Breakup #Discretization #Integral equation #Mathematical analysis #Mathematical physics #Mathematics #Momentum (technical analysis) #Nuclear physics research studies #Nucleon #Perturbation theory (quantum mechanics) #Physics #Position and momentum space #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scattering #Scattering length #nucl-th
paper · pdf · doi:10.1103/physrevc.75.014005
published as Phys.Rev.C75:014005,2007 · Corrected Eq. (10)
openalex publication_date 2007/01/19 · arxiv created 2007/01/24 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The four-body equations of Alt, Grassberger, and Sandhas are solved for n\text\ensuremath-3H scattering at energies below three-body breakup threshold using various realistic interactions including one derived from chiral perturbation theory. After partial wave decomposition the equations are three-variable integral equations that are solved numerically without any approximations beyond the usual discretization of continuum variables on a finite momentum mesh. Large number of two-, three-, and four-nucleon partial waves are considered until the convergence of the results is obtained. The total n\text\ensuremath-3H cross section data in the resonance region is not described by the calculations which confirms previous findings by other groups. Nevertheless the numbers we get are slightly higher and closer to the data than previously found and depend on the choice of the two-nucleon potential. Correlations between the Ay deficiency in n\text\ensuremath-d elastic scattering and the total n\text\ensuremath-3H cross section are studied.