Two-neutron halo state of 15B around 3.48 MeV by a three-body model

  • We investigate low-lying bound states of the neutron-rich nucleus 15B by assuming it is a three-body system made of an inert core 13B and two valence neutrons. The three-body wave functions are obtained using the Faddeev formalism. Special attention is paid to the excited state at 3.48(6) MeV observed in the 13C(14C,12N)15B reaction, whose properties are less clear theoretically. In our three-body model, besides the ground state 3/21-, a second 3/22- state is discovered at around 3.61 MeV, which might be identified with the excited state observed at 3.48(6) MeV. We study this 3/22- state in detail. It turns out to be a two-neutron halo state with a large matter radius rm≈4.770 fm.
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Dong Bai, Zhongzhou Ren and Tiekuang Dong. Two-neutron halo state of 15B around 3.48 MeV by a three-body model[J]. Chinese Physics C, 2018, 42(6): 064103. doi: 10.1088/1674-1137/42/6/064103
Dong Bai, Zhongzhou Ren and Tiekuang Dong. Two-neutron halo state of 15B around 3.48 MeV by a three-body model[J]. Chinese Physics C, 2018, 42(6): 064103.  doi: 10.1088/1674-1137/42/6/064103 shu
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Received: 2018-01-15
Revised: 2018-03-26
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    Supported by National Natural Science Foundation of China (Grant No. 11535004, 11761161001, 11375086, 11120101005, 11175085 and 11235001), by the National Major State Basic Research and Development of China, Grant No. 2016YFE0129300, and by the Science and Technology Development Fund of Macau under Grant No. 068/2011/A.

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Two-neutron halo state of 15B around 3.48 MeV by a three-body model

    Corresponding author: Zhongzhou Ren,
  • 1.  School of Physics, Nanjing University, Nanjing 210093, China
  • 2.  School of Physics Science and Engineering, Tongji University, Shanghai 200092, China
  • 3.  Purple Mountain Observatory, Chinese Academy of Sciences, Nanjing 210008, China
Fund Project:  Supported by National Natural Science Foundation of China (Grant No. 11535004, 11761161001, 11375086, 11120101005, 11175085 and 11235001), by the National Major State Basic Research and Development of China, Grant No. 2016YFE0129300, and by the Science and Technology Development Fund of Macau under Grant No. 068/2011/A.

Abstract: We investigate low-lying bound states of the neutron-rich nucleus 15B by assuming it is a three-body system made of an inert core 13B and two valence neutrons. The three-body wave functions are obtained using the Faddeev formalism. Special attention is paid to the excited state at 3.48(6) MeV observed in the 13C(14C,12N)15B reaction, whose properties are less clear theoretically. In our three-body model, besides the ground state 3/21-, a second 3/22- state is discovered at around 3.61 MeV, which might be identified with the excited state observed at 3.48(6) MeV. We study this 3/22- state in detail. It turns out to be a two-neutron halo state with a large matter radius rm≈4.770 fm.

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