Abstract

The probability of the last proton being out of the binding potential,P and the root-mean-square (rms) radius («r2»1/2= of the third excited state in21Na are calculated by means of asymptotic normalization coefficient (ANC) method with the experimental date existing. The results are P=54.73% and «r2»1/2=5.28 fm respectively. TheP value and the contribution of the asymptotic part to the «r2»1/2 are compared with those of several other low energy states in21Na. It is found that the valence particle in the third excited state has an obvious largerP than those of other states. The density distribution of the valence proton in this state is also compared with the nucleons in the nuclear core20Ne, and a far extended tail can be seen clearly. These results show that the third excited state in21Na is a proton halo state.

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