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

By T. Buervenich, D. Madland, Joachim A. Maruhn, Paul-Gerhard Reinhard. 2001

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We present results obtained in the calculation of nuclear ground state properties in relativistic Hartree approximation using a Lagrangian whose QCDscaled 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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/deff631cda4dc9c02a78f1b5f83c20bd64cad0a5