Spectra of anti-nucleons in the vacuum of finite nuclei

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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12 pages, 2 postscript files included. Proceeding of the 2003 Dalian International Symposium on Nuclear Physics, to appear on

Scientific paper

The quantum vacuum in a many-body system of finite nuclei has been investigated within the relativistic Hartree approach which describes the bound states of nucleons and anti-nucleons consistently. The contributions of the Dirac sea to the source terms of the meson-field equations are taken into account up to the one-nucleon loop and one-meson loop. The tensor couplings for the $\omega$- and $\rho$-meson are included in the model. After adjusting the parameters of the model to the properties of spherical nuclei, a large effective nucleon mass $m^{*}/M_{N} \approx 0.78$ is obtained. The overall nucleon spectra of shell-model states are in agreement with the data. The computed anti-nucleon spectra in the vacuum differ about 20 -- 30 MeV with and without the tensor-coupling effects.

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