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We investigate the role of the effective nucleon-nucleon interaction in thedescription of giant dipole resonances in hot nuclei. For this purpose wecalculate the response function of hot nuclear matter to a small isovectorexternal perturbation using various effective Skyrme interactions. We find thatfor Skyrme forces with an effective mass close to unity an undamped zero soundmode occurs at zero temperature. This mode gives rise in finite nuclei(calculated via the Steinwedel-Jenssen model) to a resonance whose energyagrees with the observed value. We find that zero sound disappears at atemperature of a few MeV, leaving only a broad peak in the dipole strength. ForSkyrme forces with a small value of the effective mass (0.4- 0.5), there is nozero sound at zero temperature but only a weak peak located too high in energy.The strength distribution in this case is nearly independent of temperature andshows small collective effects. The relevance of these results for thesaturation of photon multiplicities observed in recent experiments is pointedout.Comment: 33 pages Email: braghin@ipncls.in2p3.f

Isovector response function of hot nuclear matter with Skyrme interactions