Ab initio Monte Carlo shell model calculations for 7Li and 9Li low-lying spectra

LIU Lang

doi:10.1088/1674-1137/39/6/064101

Chinese Physics C> 2015, Vol. 39> Issue(6) : 064101 DOI: 10.1088/1674-1137/39/6/064101

Ab initio Monte Carlo shell model calculations for ⁷Li and ⁹Li low-lying spectra

LIU Lang ^,

School of Science, Jiangnan University, Wuxi 214122, China

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Abstract：
The low-lying spectra of ⁷Li and ⁹Li are investigated within an ab initio Monte Carlo Shell Model (MCSM) employing a realistic potential obtained via the Unitary Correlation Operator Method (UCOM). The MCSM calculations in a 4-major-shells model space for the binding energy and mass quadrupole moment of ^7,9Li show good convergence when the MCSM dimension reaches 20. The excitation energy of the J^π=1/2^- state for ⁷Li and the magnetic moments for ^7,9Li ground states in the MCSM with a treatment of spurious center-of-mass motion are close to the experimental data. Correct level ordering of J^π=3/2^- and 1/2^- states for ^7,9Li can be reproduced due to the inclusion of three-body correlations in the MCSM+UCOM. However, the excitation energy of J^π=1/2^- state for ⁹Li is not reproduced in the MCSM mainly due to the lack of larger model space.

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LIU Lang. Ab initio Monte Carlo shell model calculations for ⁷Li and ⁹Li low-lying spectra[J]. Chinese Physics C, 2015, 39(6): 064101. doi: 10.1088/1674-1137/39/6/064101

LIU Lang. Ab initio Monte Carlo shell model calculations for ⁷Li and ⁹Li low-lying spectra[J]. Chinese Physics C, 2015, 39(6): 064101. doi: 10.1088/1674-1137/39/6/064101 shu

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Received: 2014-09-28
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

Ab initio Monte Carlo shell model calculations for ⁷Li and ⁹Li low-lying spectra

LIU Lang ^,

Corresponding author: LIU Lang,

School of Science, Jiangnan University, Wuxi 214122, China

Received Date: 2014-09-28
Accepted Date: 1900-01-01
Available Online: 2015-06-05

Abstract: The low-lying spectra of ⁷Li and ⁹Li are investigated within an ab initio Monte Carlo Shell Model (MCSM) employing a realistic potential obtained via the Unitary Correlation Operator Method (UCOM). The MCSM calculations in a 4-major-shells model space for the binding energy and mass quadrupole moment of ^7,9Li show good convergence when the MCSM dimension reaches 20. The excitation energy of the J^π=1/2^- state for ⁷Li and the magnetic moments for ^7,9Li ground states in the MCSM with a treatment of spurious center-of-mass motion are close to the experimental data. Correct level ordering of J^π=3/2^- and 1/2^- states for ^7,9Li can be reproduced due to the inclusion of three-body correlations in the MCSM+UCOM. However, the excitation energy of J^π=1/2^- state for ⁹Li is not reproduced in the MCSM mainly due to the lack of larger model space.