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arXiv · 1504.04965

Ground-state energies and charge radii of $^{4}$He, $^{16}$O, $^{40}$Ca, and $^{56}$Ni in the unitary-model-operator approach

Takayuki Miyagi·Takashi Abe·Ryoji Okamoto·Takaharu Otsuka
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Abstract

We study the nuclear ground-state properties by using the unitary-model-operator approach (UMOA). Recently, the particle-basis formalism has been introduced in the UMOA and enables us to employ the charge-dependent nucleon-nucleon interaction. We evaluate the ground-state energies and charge radii of $^{4}$He, $^{16}$O, $^{40}$Ca, and $^{56}$Ni with the charge-dependent Bonn potential. The ground-state energy is dominated by the contributions from the one- and two-body cluster terms, while, for the radius, the one-particle-one-hole excitations are more important than the two-particle-two-hole excitations. The calculated results reproduce the trend of experimental data of the saturation property for finite nuclei.

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Takayuki Miyagi, Takashi Abe, Ryoji Okamoto, Takaharu Otsuka. 2015-04-20. Ground-state energies and charge radii of $^{4}$He, $^{16}$O, $^{40}$Ca, and $^{56}$Ni in the unitary-model-operator approach. https://doi.org/10.1093/ptep/ptv042

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