Two-body and three-body halo nuclei

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We have extracted the nuclear asymptotic normalization coefficients(ANC)for the vir-tual transitions B→A+N via some transfer reactions and the radioactive nuclear beam experimentsWith these coefficients,root-mean-square(rms)radii for the valence particle in some possible halonuclei have been calculated.The values of rms radii extracted with ANC approach are nearlymodel-independent,hence are a good quantity for the investigation of nuclear halo.In addition,wehave also calculated the rms radii for the two valence neutrons in some three-body systems interms of the relationship between the radii of valence particle,core nucleus and nuclear matter.With two conditions for nuclear halo formation,we have examined these extracted rms radii.Theresults show that ~(11)Be(1/2~+,g.s),~(12)B(1~-,2.621 MeV),~(13)C(1/2~+,3.089 MeV),~(14)C(0~-,6.903 MeV),~(14)C(1~-,6.094 MeV),~(15)C(1/2~+,g.s) and~(19)C(1/2~+,g.s) with the valence particle in the 2s ground orexcited state are the neutron halo nuclei,whereas ~(17)F(1/2~+,0.495 MeV) and ~(21)Na(1/2~+,2.423 MeV)are the proton halo nuclei in the excited state.For three-body systems,except the well-establishedtwo-neutron halo nuclei ~6He and ~(11)Li,~(14)Be and ~(17)B might be the two-neutron halo nuclei as well. We have extracted the nuclear asymptotic normalization coefficients (ANC) for the virual transitions B → A + N via some transfer reactions and the radioactive nuclear beam experiments. These coefficients, root-mean-square (rms) radii for the valence particle in some possible halonuclei have been calculated.The values ​​of rms radii extracted with ANC approach are nearlymodel-independent, hence are a good quantity for the investigation of nuclear halo.In addition, wehave also calculated the rms radii for the two valence neutrons in some three- body systems interms of the relationship between the radii of valence particle, core nucleus and nuclear matter. Two conditions for nuclear halo formation, we have examined these extracted rms radii. The results show that ~ (11) Be (1/2 ~ +, ~ (12) B (1 ~ -, 2.621 MeV), ~ (13) C (1/2 ~ +, 3.089 MeV), ~ (14) C ) C (1 ~ -, 6.094 MeV), ~ (15) C (1/2 ~ +, gs) and ~ (19) C (1/2 ~ +, gs) with the valence particle in the 2s ground orexcited state are the neutron halo nuclei, w Hereas ~ (17) F (1/2 ~ +, 0.495 MeV) and ~ (21) Na (1/2 ~ +, 2.423 MeV) are the proton halo nuclei in the excited state. For three-body systems, except the well-establishedtwo-neutron halo nuclei ~ 6He and ~ (11) Li, ~ (14) Be and ~ (17) B might be the two-neutron halo nuclei as well.
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