Medium dependence of the bag constant in the quark-meson coupling model

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  • 8 December 1997
Abstract
Possible variations of the quark-meson coupling (QMC) model are examined in which the bag constant decreases in the nuclear medium. The reduction is supposed to depend on either the mean scalar field or the effective mass of the nucleon. It is shown that the electric and magnetic radii of the nucleon increase by up to 15 % and 10 %, respectively, at normal nuclear density, once the reduction of the bag constant is incorporated in the model. Using the fact that the size of the bound nucleon inside a nucleus is strongly constrained by $y$-scaling data in quasielastic, electron-nucleus scattering, we set a limit for the reduction allowed in the bag constant for these two models. The present study implies that the reduction allowed in the bag constant at normal nuclear density is roughly 10 to 15 %, depending on the model and the experimental constraints.

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