2009/03/29 by J. R. Shepard, Shepard, J. R., J. A. McNeil +2
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #FOS: Physical sciences #Nuclear Theory (nucl-th) #nucl-th
paper · pdf · doi:10.48550/arxiv.0903.5070
arxiv created 2009/03/29 · openalex publication_date 2009/03/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We examine the convergence properties of the 2-nucleon Effective Range Expansion as used in Effective Theories (ET-ERE's) for 3-nucleon calculations. We accomplish this by accounting for the 2-body dynamics with a simple rank-1 separable 2-body potential where the finite range effects can be incorporated systematically in both the 2- and 3-body problems. We make our initial comparisons in the simple context of the 3S1 2-nucleon channel and the 4S3/2 3-nucleon channel. We find that convergence problems for some of the 3-nucleon scattering amplitudes using the ET-ERE can be traced to its poor account of finite range effects that soften the momentum dependence of the deuteron propagator in the Faddeev kernel. In contrast, our simple separable potential with dipole form factors works very well in all cases considered.