Relativistic nucleon-nucleon interaction consisting of an attractive scalar and a repulsive vector

Relativistic models which simulate the two-nucleon system are constructed by means of the one-dimensional two-body Dirac equation, and differences between relativistic and nonrelativistic descriptions are illustrated. The relativistic interaction is assumed to consist of a Lorentz scalar S and the zeroth-component V of a vector; the S is attractive and the V repulsive. This interaction has intriguing features. Unlike the nonrelativistic case, the nucleon-nucleon phase shift can be fitted easily without assuming that the range of the repulsive V is smaller than that of the attractive S. Implications for deuteron structure are examined.