Magnetic moments of odd-A aluminum isotopes in covariant density functional theory

Jian Li(李剑),Wu-Ji Sun(孙无忌)

Table 1. The calculated total energies (Etot), the excitation energies (Ex), the quadrupole deformation parameters (β2), the valence nucleon configuration, and the intrinsic magnetic moments (μintri.) of 23Al for states A, B, C, D and E, in comparison with the experimental energies Ex(exp.) [60], and ground-state magnetic moment (μexp.) [57]. The energy is in unit of MeV and the magnetic moment is in μN.

State  $\,\,{E}_{x}({E}_{{\rm{tot}}})$      β2      Valence nucleon configuration     μintri.(μexp.) Ex(exp.) A (−167.89)  0.40 $\pi \tfrac{5}{2}$[202+] $\left(1{d}_{5/2}\tfrac{5}{2}\right)$  4.96 (3.889) B 1.12(−166.77)  0.52 $\pi \tfrac{1}{2}$[211+] $\left(2{s}_{1/2}\tfrac{1}{2}\right)$ −0.23 0.550 C 2.39(−165.50) −0.26 $\pi \tfrac{1}{2}$[220+] $\left(1{d}_{5/2}\tfrac{1}{2}\right)$  1.52 (2.575) D 2.35(−165.54)  0.28 $\pi \tfrac{5}{2}[202+]\otimes \nu \left\{\tfrac{1}{2}[220+]\tfrac{3}{2}[211+]\right\}$  2.11 $\left(\pi \ 1{d}_{5/2}\tfrac{5}{2}\otimes \nu \ 1{d}_{5/2}\tfrac{1}{2}\ 1{d}_{5/2}\tfrac{3}{2}\right)$ E 4.20(−163.69) −0.18 $\pi \tfrac{3}{2}$[211+] $\left(1{d}_{5/2}\tfrac{3}{2}\right)$ −0.55 (3.197)