Nuclear Asymptotic Normalization Coefficientsand Neutron Halo of the Excited States

LIU Zu-Hua; LIN Cheng-Jian; ZHANG Huan-Qiao; LI Zhi-Chang; ZHANG Jing-Shang; WU Yue-Wei; YANG Feng; RUAN Ming; LIU Jian-Cheng; LI Shu-Yuan; PENG Shao-Hua

Chinese Physics C> 2002, Vol. 26> Issue(7) : 696-702

Nuclear Asymptotic Normalization Coefficientsand Neutron Halo of the Excited States

China Institute of Atomic Energy, Beijing 102413, China

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Abstract：
We have extracted the nuclear asymptotic normalization coefficients for the virtual transitions ¹²B ¹¹B+n and ¹³C ¹²C+n via two transfer reactions ¹¹B(d,p) ¹²B and ¹²C(d, p) ¹³C. With these coefficients, root-mean-square radii for the valence neutron in ¹²B and ¹³C have been calculated. Our results show that the second (J^π=2^－), third (J^π=1^－) excited states in ¹²B, and the first (J^π=1/2⁺) excited state in ¹³C are neutron halo states, whereas the third (J^π=5/2⁺) excited state in ¹³C is a neutron skin state. The retard effects of the Coulomb potential and the orbital angular momentum on halo formation have been quantitatively examined. A unified scaling law for the mean-square radius versus the effective nucleon separation energy is established for the systems with a neutron or proton in a weekly bound state.

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LIU Zu-Hua, LIN Cheng-Jian, ZHANG Huan-Qiao, LI Zhi-Chang, ZHANG Jing-Shang, WU Yue-Wei, YANG Feng, RUAN Ming, LIU Jian-Cheng, LI Shu-Yuan and PENG Shao-Hua. Nuclear Asymptotic Normalization Coefficientsand Neutron Halo of the Excited States[J]. Chinese Physics C, 2002, 26(7): 696-702.

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Received: 2001-08-24
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Nuclear Asymptotic Normalization Coefficientsand Neutron Halo of the Excited States

Corresponding author: LIU Zu-Hua,

China Institute of Atomic Energy, Beijing 102413, China

Received Date: 2001-08-24
Accepted Date: 1900-01-01
Available Online: 2002-07-05

Abstract: We have extracted the nuclear asymptotic normalization coefficients for the virtual transitions ¹²B ¹¹B+n and ¹³C ¹²C+n via two transfer reactions ¹¹B(d,p) ¹²B and ¹²C(d, p) ¹³C. With these coefficients, root-mean-square radii for the valence neutron in ¹²B and ¹³C have been calculated. Our results show that the second (J^π=2^－), third (J^π=1^－) excited states in ¹²B, and the first (J^π=1/2⁺) excited state in ¹³C are neutron halo states, whereas the third (J^π=5/2⁺) excited state in ¹³C is a neutron skin state. The retard effects of the Coulomb potential and the orbital angular momentum on halo formation have been quantitatively examined. A unified scaling law for the mean-square radius versus the effective nucleon separation energy is established for the systems with a neutron or proton in a weekly bound state.