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Description
The radial wave functions and the energies of the protons and neutrons in the same states of the corresponding mirror nuclei differ due to the Coulomb interaction. Mirror energy difference (MED) between the energy of protons and neutrons in these states depend on angular momentum (the Thomas-Ehrman effect $[$1]). The single-particle structure of the mirror nuclei $^{52}$Ni-$^{52}$Cr, $^{50}$Ni-$^{50}$Ti, and $^{48}$Ni-$^{48}$Ca was studied within the dispersive optical model [2]. The parameters of the imaginary part of the potential were determined according to the global parameters [3]. MED of 2$\textit{p}$ valence states with low angular momentum ($\textit{l}$ = 1) was shown to be less than that of 1$\textit{f}$ states ($\textit{l}$ = 3) (Fig 1, a). In Fig. 1,b the calculated difference $\Delta r_{np}$ between the root mean square radii of protons and neutrons in 1$\textit{f}$, 2$\textit{p}$ states of the investigated mirror nuclei is presented. The difference is greater for 1$\textit{p}$ states compared to 1$\textit{f}$ states. The effect is enhanced approaching the proton drip line. Taking into account such effects is important for more accurate prediction of the features of drip-line nuclei such as double magic $^{48}$Ni nucleus.
References:
1. J.B. Ehrman, Phys. Rev., 81 (1951), pp. 412-416, R.G. Thomas, Phys. Rev., 88 (1952), pp. 1109-1125
2. Mahaux C., Sartor R., Adv. Nucl. Phys., 20, 1 (1991)
3. A. J. Koning, J.P. Delaroche, Nucl. Phys. A., 713, 231 (2003)
| Section | Nuclear structure: theory and experiment |
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