  In this study, for the first time, in particular to astrophysics and fusion
studies, how atomic nuclei embedded in the plasma environment are affected by
plasma are systematically analysed. The related interactions in plasma
environments considered as Debye and quantum plasma are depicted by more
general exponential cosine screened Coulomb (MGECSC) potential. The plasma
effects on the change of nuclear energy levels are probed through computations
performed within the nuclear shell-model framework. For this purpose, the
single-particle energy (spe) values to be used in the calculations are obtained
by considering the modified Woods-Saxon (WS) potential due to shielding effect
of plasma environment. As the modification in question is executed on Coulomb
interaction term in WS potential, the computations are carried out for $ ^{18}
$Ne nucleus which has two valence protons. Under the influence of the plasma,
it is confirmed that the spe's change within certain limit value ranges. When
considering the nuclear shell-model for the related computing, it is clear that
this change leads to an obvious shifting in the energies of the nuclear states.
It is observed that proton spe values are sensitive to plasma shielding effect,
and shielding effect has a significant potent on the ground-state and excited
energy states of the nucleus. In particular, the ground-state binding energies
are determined to be extremely sensitive to the plasma shielding parameters.
Plasma environments affect the proton spe and ground state energy (gse) in the
same way. The alternative to each other of plasma shielding parameters on the
spe, gse and excited energy levels is also analysed.
