Accurate knowledge of the nuclear level density is important both from a theoretical viewpoint as a powerful instrument for studying nuclear structure and for numerous applications. For example, astrophysical reactions responsible for the nucleosynthesis in the universe can be understood only if we know the nuclear level density. We use the configuration-interaction nuclear shell model to predict nuclear level density for all nuclei in the $sd$-shell, both total and for individual spins (only with positive parity). To avoid the diagonalization in large model spaces we use the moments method based on statistical properties of nuclear many-body systems. In the cases where the diagonalization is possible, the results of the moments method practically coincide with those from the shell-model calculations. Using the computed level densities, we fit the parameters of the Constant Temperature phenomenological model, which can be used by practitioners in their studies of nuclear reactions at excitation energies appropriate for the $sd$-shell nuclei.

从理论的观点来看，准确地了解核能级密度对于研究核结构和许多应用都具有重要意义。例如，只有当我们知道核能级密度时，才能理解造成宇宙核合成的天体物理反应。我们使用构型相互作用核壳模型来预测核中所有核的核能级密度。$sd$-壳，全部旋转和单个旋转（仅具有正奇偶校验）。为了避免在大型模型空间中对角化，我们使用基于核多体系统统计特性的矩量法。在可能对角化的情况下，矩量法的结果实际上与壳模型计算的结果一致。使用计算出的能级密度，我们拟合了恒温现象学模型的参数，从业人员可以在研究适合于氢能的激发能的核反应中使用这些参数。$sd$壳核。