$Δ(1232)$ Isobar Excitations and the Ground State of Nuclei

Details $Δ(1232)$ Isobar Excitations and the Ground State of Nuclei $Δ(1232)$ Isobar Excitations and the Ground State of Nuclei

2001-09-18

arxiv.org/abs/nucl-th/0109046v1

Phys.Rev. C65 (2002) 034316

Physics

Nuclear Physics

Nuclear Theory

12 pages, including 5 figures

Scientific paper

10.1103/PhysRevC.65.034316

The influence of $\Delta$ isobar components on the ground state properties of nuclear systems is investigated for nuclear matter as well as finite nuclei. Many-body wave functions, including isobar configurations, and binding energies are evaluated employing the framework of the coupled-cluster theory. It is demonstrated that the effect of isobar configurations depends in a rather sensitive way on the model used for the baryon-baryon interaction. As examples for realistic baryon-baryon interactions with explicit inclusion of isobar channels we use the local ($V28$) and non-local meson exchange potentials (Bonn$_{2000}$) but also a model recently developed by the Salamanca group, which is based on a quark picture. The differences obtained for the nuclear observables are related to the treatment of the interaction, the $\pi$-exchange contributions in particular, at high momentum transfers.

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