Determination of nonlinear $\sigma{-}\omega{-}\rho$ model parameters in the relativistic mean-field theory by nuclear-matter properties

K.C. Chung; C.S. Wang; A.J. Santiago; J.W. Zhang

doi:doi:10.1007/s100500170024

EPJ

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2021 Impact factor 3.131

Hadrons and Nuclei

Eur. Phys. J. A 12, 161-167 (2001)

Determination of nonlinear $\sigma{-}\omega{-}\rho$ model parameters in the relativistic mean-field theory by nuclear-matter properties

K.C. Chung¹, C.S. Wang^{1, 2}, A.J. Santiago¹ and J.W. Zhang²

¹ Instituto de Física, Universidade do Estado do Rio de Janeiro, Rio de Janeiro, RJ 20559-900, Brazil
² Department of Technical Physics, Peking University, Beijing 100871, PRC

chung@uerj.br

(Received: 27 June 2001 / Revised version: 5 October 2001 Communicated by A. Molinari)

Abstract
The parameters of the $\sigma$ - $\omega$ - $\rho$ model in the relativistic mean-field theory with nonlinear $\sigma$ -meson self-interaction are determined by nuclear-matter properties, which are taken as those extracted by fits to data based on nonrelativistic nuclear models. The values of the relevant parameters are $C_\sigma^2\sim 94$ , $C_\omega^2\sim 32$ , $C_\rho^2\sim 26$ , $b\sim -0.09$ , $c\sim 1$ , and the $\sigma$ -meson mass $m_\sigma\sim 370$ MeV, while the value of the calculated nuclear- surface thickness is $t\sim 1.4$ fm. The field system is shown to be stable, since the $\sigma$ -meson self-interaction energy is a lower bound in this whole parameter region with positive c. On the other hand, the effective nucleon mass M^* is larger than 0.73M, if the symmetry incompressibility K_s is assumed to be negative and the nuclear-matter incompressibility K₀ is kept less than 300 MeV.