A modified relativistic Hartree approximation to the nuclear matter equation of state

Erik K. Heide, Serge Rudaz

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Abstract

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.

Original languageEnglish (US)
Pages (from-to)375-382
Number of pages8
JournalPhysics Letters B
Volume262
Issue number4
DOIs
StatePublished - Jun 27 1991

Bibliographical note

Funding 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.

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