Nonlocality in the Nucleon-Nucleon Interaction Due to Minimal-Relativity Factors: Effects on Two-Nucleon Observables and the Three-Nucleon Binding Energy

摘要

Minimal-relativity factors, when multiplied to a static local meson-exchange nucleon-nucleon potential, lead to a nonlocal potential. It is shown that the nonlocality can be represented by an analytically given nonlocality function, which has a width inversely proportional to the nucleon mass and which tends towards δ(r′ — r), the usual locality condition, in the limit of the nucleon mass going to infinity. Consequences of this particular type of non-locality for two-nucleon observables and for the three-nucleon binding energy are investigated along with a Malfliet-Tjon-type potential. After readjusting the potential parameters of the nonlocal potential such that its two-nucleon properties are well matched to the ones of the static local potential the effect of the nonlocality on the three-nucleon binding energy essentially vanishes.