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Nuclear Ground State Observables and QCD Scaling in a Refined Relativistic Point Coupling Model

T. Buervenich·D. G. Madland·J. A. Maruhn·P. -G. Reinhard
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Abstract

We present results obtained in the calculation of nuclear ground state properties in relativistic Hartree approximation using a Lagrangian whose QCD-scaled coupling constants are all natural (dimensionless and of order 1). Our model consists of four-, six-, and eight-fermion point couplings (contact interactions) together with derivative terms representing, respectively, two-, three-, and four-body forces and the finite ranges of the corresponding mesonic interactions. The coupling constants have been determined in a self-consistent procedure that solves the model equations for representative nuclei simultaneously in a generalized nonlinear least-squares adjustment algorithm. The extracted coupling constants allow us to predict ground state properties of a much larger set of even-even nuclei to good accuracy. The fact that the extracted coupling constants are all natural leads to the conclusion that QCD scaling and chiral symmetry apply to finite nuclei.

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T. Buervenich, D. G. Madland, J. A. Maruhn, P. -G. Reinhard. 2001-12-12. Nuclear Ground State Observables and QCD Scaling in a Refined Relativistic Point Coupling Model. https://doi.org/10.1103/physrevc.65.044308

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