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Nuclei in dense matter are influenced by the medium. In the cluster meanfield approximation, an effective Schr\"odinger equation for the $A$-particlecluster is obtained accounting for the effects of the correlated medium such asself-energy, Pauli blocking and Bose enhancement. Similar to the single-baryonstates (free neutrons and protons), the light elements ($2 \le A \le 4$,internal quantum state $\nu$) are treated as quasiparticles with energies$E_{A,\nu}(\vec P; T, n_n,n_p)$. These energies depend on the center of massmomentum $\vec P$, as well as temperature $T$ and the total densities $n_n,n_p$of neutrons and protons, respectively. No $\beta$ equilibrium is considered sothat $n_n, n_p$ (or the corresponding chemical potentials $\mu_n, \mu_p$) arefixed independently.  For the single nucleon quasiparticle energy shift, different approximateexpressions such as Skyrme or relativistic mean field approaches are wellknown. Treating the $A$-particle problem in appropriate approximations, resultsfor the cluster quasiparticle shifts are given. Properties of dense nuclearmatter at moderate temperatures in the subsaturation density region consideredhere are influenced by the composition. This in turn is determined by thecluster quasiparticle energies, in particular the formation of clusters at lowdensities when the temperature decreases, and their dissolution due to Pauliblocking as the density increases. Our finite-temperature Green functionapproach covers different limiting cases: The low-density region where themodel of nuclear statistical equilibrium and virial expansions can be applied,and the saturation density region where a mean field approach is possible.

Light nuclei quasiparticle energy shift in hot and dense nuclear matter