Effective Lagrangian approach to structure of selected nuclei far from stability

Abstract

The convergence of the effective field theory (EFT) approach of Furnstahl, Serot and Tang to the nuclear many-body problem is studied by applying it to selected doubly-magic nuclei far from stability. An independently developed code, which can incorporate various levels of approximation of the chiral effective lagrangian, is used to solve the self-consistent relativistic Hartree equations. Results are obtained for ground-state properties such as binding energies, single-particle level structure, and densities of the selected spherical, doubly-magic nuclei 132,100 Sn and 48,78 Ni. Calculated spectra of neighboring nuclei differing by one particle or one hole show agreement with the most recent experimental data. Predictions for nucleon densities are presented.

Versatility of field theory motivated nuclear effective Lagrangian approach

“…That this is indeed the case has been proven in previous works and therefore we shall not attempt to present more results in this respect here. We rather refer the reader to the literature [3,9,10,11,12,13] where it has been shown that the bulk and singleparticle properties of finite nuclei are well described by the E-RMF model with a similar quality to the standard RMF parametrizations, not only for stable isotopes but also for exotic isospin-rich nuclei far from the valley of β stability.…”

“…The recent breakthrough achieved in the experimental determination of the equation of state (EOS) of high-density matter [14] motivates us to study the applicability of the RMF and E-RMF models to those conditions. The performance of the E-RMF approach for finite nuclei has already been demonstrated in a series of previous works [3,10,11,12,13].…”

“…The truncation of the effective Lagrangian at the first lower orders is validated by the fact that when one includes up to fourth order terms in the expansion, the E-RMF fits (parameter sets G1 and G2 determined in Ref. [3]) display naturalness and the results are not dominated by the last terms retained [3,4,5,6,9,10,11,12].…”

Electroweak Interactions in a Chiral Effective Lagrangian for Nuclei

“…The motivation for this EFT and illustrations of some calculated results are discussed in Refs. (Furnstahl et al, 1997;Hu et al, 2007;Huertas, 2002;McIntire et al, 2007;McIntire, 2008;Serot, 2007;2010), for example. This QHD EFT has also been applied to a discussion of the isovector axial-vector current in nuclei (Ananyan et al, 2002).…”

Three-loop corrections in a covariant effective field theory

“…Each term in this lagrangian is characterized by an undetermined coefficient which is assumed to be natural, or order unity [16,17]. The resulting lagrangian [7,8] has provided a method for predicting the properties of nuclei [18,19,20,21,22,23].…”