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Relativistic mean-field approximation with density-dependent screening meson masses in nuclear matter

Bao-Xi Sun·Xiao-Fu Lu·Peng-Nian Shen·En-Guang Zhao
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Abstract

The Debye screening masses of the $σ$, $ω$ and neutral $ρ$ mesons and the photon are calculated in the relativistic mean-field approximation. As the density of the nucleon increases, all the screening masses of mesons increase. It shows a different result with Brown-Rho scaling, which implies a reduction in the mass of all the mesons in the nuclear matter except the pion. Replacing the masses of the mesons with their corresponding screening masses in Walecka-1 model, five saturation properties of the nuclear matter are fixed reasonably, and then a density-dependent relativistic mean-field model is proposed without introducing the non-linear self-coupling terms of mesons.

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Bao-Xi Sun, Xiao-Fu Lu, Peng-Nian Shen, En-Guang Zhao. 2002-11-24. Relativistic mean-field approximation with density-dependent screening meson masses in nuclear matter. https://doi.org/10.1142/s0218301303001363

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