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

AbinitioMonte Carlo shell model calculations for⁷Li and⁹Li 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 initioMonte 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 initioMonte 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 initioMonte 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

AbinitioMonte Carlo shell model calculations for⁷Li and⁹Li 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 of⁷Li and⁹Li are investigated within anab initioMonte 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 theJ^π=1/2^-state for⁷Li 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 ofJ^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 ofJ^π=1/2^-state for⁹Li is not reproduced in the MCSM mainly due to the lack of larger model space.