基于前期投影后变分(variation after projection,VAP)方法的经验,对该方法作了进一步发展。首次计算了投影能量的确切Hessian矩阵,这使得VAP计算更稳定,迭代收敛更快。在新的VAP中,采用的平均场为时间反演不对称的HF(Hartree-Fock)平均场。这样,新的VAP方法不仅能计算偶偶核的偶自旋态,且能自然地计算偶偶核的奇自旋态以及奇奇核和奇A核的所有晕态。采用新的VAP方法计算了sd壳原子核~(24)Mg、~(25)Mg、~(26)Mg和~(26)Al的晕带,并将其与壳 Based on the experience of the VAP method, this method is further developed. For the first time, the exact Hessian matrix of projection energy is calculated, which makes the VAP calculation more stable and iterative convergence faster. In the new VAP, the average field used is the time-reversed asymmetric HF (Hartree-Fock) mean field. In this way, the new VAP method can not only calculate the even-spin states of even-even nuclei but also calculate the odd spin states of even and even odd nuclei and all the halo states of odd and odd A-cores. A new VAP method was used to calculate the halo of ~ (24) Mg, ~ (25) Mg, ~ (26) Mg and ~ (26) Al in the atomic nuclei of sd shell,