No-Core MCSM calculation for $^{10}$Be and $^{12}$Be low-lying spectra

Details No-Core MCSM calculation for $^{10}$Be and $^{12}$Be low-lying spectra No-Core MCSM calculation for $^{10}$Be and $^{12}$Be low-lying spectra

2011-05-16

arxiv.org/abs/1105.2983v2

Physics

Nuclear Physics

Nuclear Theory

Scientific paper

The low-lying excited states of $^{10}$Be and $^{12}$Be are investigated within a no-core Monte Carlo Shell Model (MCSM) framework employing a realistic potential obtained via the Unitary Correlation Operator Method. The excitation energies of the 2$^+_1$ and 2$^+_2$ states and the B(E2; 2$^+_{1}\rightarrow$ 0$^+_{g.s.}$) for $^{10}$Be in the MCSM with a treatment of spurious center-of-mass motion show good agreement with experimental data. The deformation properties of the 2$^+_1$, 2$^+_2$ states for $^{10}$Be and of the 2$^+_1$ state for $^{12}$Be are studied in terms of quadrupole moments, E2 transitions and the single-particle occupations. The triaxial deformation of $^{10}$Be is tested by the B(E2; 2$^+_{2}\rightarrow$ 2$^+_{1}$) value. The removal of the spurious center-of-mass motion shifts the 1$^-_1$ level significantly, improving agreement with experiment.

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