2020 Impact factor 3.043
Hadrons and Nuclei
Eur. Phys. J. A 1, 45-53

Optimized $\delta$ expansion for relativistic nuclear models

G. Krein1,2 - R.S. Marques de Carvalho3 - D.P. Menezes3 - M. Nielsen4 - M.B. Pinto3

1 Institut für Kernphysik, Universität Mainz, D-55099 Mainz, Germany
2 Instituto de Física Teórica, Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 São Paulo, S.P. Brazil
3 Departamento de Física, Universidade Federal de Santa Catarina, 88.040-900 Florianópolis, S.C., Brazil
4 Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 5389-970 São Paulo, S.P., Brazil

Received: 17 March 1997 / Revised version: 27 August 1997

The optimized $\delta$-expansion is a nonperturbative approach for field theoretic models which combines the techniques of perturbation theory and the variational principle. This technique is discussed in the $\lambda \phi^4$model and then implemented in the Walecka model for the equation of state of nuclear matter. The results obtained with the $\delta$ expansion are compared with those obtained with the traditional mean field, relativistic Hartree and Hartree-Fock approximations.

21.60.-n Nuclear structure models and methods - 21.65.+f Nuclear matter - 12.38.Lg Other nonperturbative calculations

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