Continued fraction approximation for the nuclear matter response function

Jérôme Margueron (1) , J. Navarro (2) , Nguyen van Giai (1) , P. Schuck (1)

1 IPNO - Institut de Physique Nucléaire d'Orsay
2 IFIC - Instituto de Fisica Corpuscular

We use a continued fraction approximation to calculate the RPA response function of nuclear matter. The convergence of the approximation is assessed by comparing with the numerically exact response function obtained with a typical effective finite-range interaction used in nuclear physics. It is shown that just the first order term of the expansion can give reliable results at densities up to the saturation density value.

Domaines: Physique Nucléaire Théorique [nucl-th]

Jérôme Margueron, J. Navarro, Nguyen van Giai, P. Schuck. Continued fraction approximation for the nuclear matter response function. Physical Review C, 2008, 77, pp.064306. ⟨10.1103/PhysRevC.77.064306⟩. ⟨in2p3-00258359⟩