We reconsider the vacuum correction term for the Walecka σ-ω model in the relativistic Hartree approximation retaining explicit dependence on the renormalization scale. The usual Chin-Walecka prescription is recovered by setting the renormalization scale equal to the nucleon mass. We find that when the renormalization scale is set to the effective nucleon mass at nuclear saturation density the model gives a dramatically lower compression modulus. The behavior of the effective nucleon mass at saturation and the compression modulus are examined as a function of the renormalization scale.
Bibliographical noteFunding Information:
A preliminary account of this work was presented at the Workshop From fundamental fields to nuclear phenomena, held in Boulder in September 1990: one of us (S.R.) wishes to thank its organizers, C.E. Price and J.A. McNeil, for the opportunity to do so. We would also like to thank P.J. Ellis for several useful discussions. This work was supported in part by the Department of Energy, under contracts No. DE-FG02-87ER40328 (E.K.H.) and DE-AC02-83ER 40105 and by a Presidential Young Investigator Award from the National Science Foundation (S.R.). A grant for computing time from the University of Minnesota Supercomputer Institute is gratefully acknowledged.