Abstract
— The short-range behaviour of the pair correlation function in a dense one-component plasma (jellium) is investigated. As an intermediate step, the short-range behaviour of the classical pair correlation function is obtained. Actually, although the temperature and the density are assumed to be such that the thermodynamical properties are almost classical, quantum mechanics (tunnel effect) always dominates the pair correlation function at short distances. The quantum pair correlation function is calculated by treating the many-body quantum effects by a perturbation theory, and by using a semi-classical approximation based on path integrals. The results are applied to the computation of the nuclear reaction rate in dense stellar matter (pycnonuclear reactions). (*) Soumis a Journal of Statistical Physics. Article published online by EDP Sciences and available at http://dx.doi.org/10.1051/jphyscol:1978133
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