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arXiv · 1211.3187

Construction of the center-of-mass free space for the SU(3) no-core shell model

F. Q. Luo·M. A. Caprio·T. Dytrych
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Abstract

We address the removal of states with center-of-mass excitation from the SU(3) no-core shell model [SU(3)-NCSM] space, i.e., construction of the nonspurious subspace. A procedure is formulated based on solution of the null-space problem for the center-of-mass harmonic oscillator lowering operator Bcm, operating at the level of SU(3) irreducible representations. Isolation of the center-of-mass free subspace for the SU(3)-NCSM provides the foundation for exact removal of center-of-mass dynamics in the proposed Sp(3,R) symplectic no-core shell model. We outline the construction process for the matrix representation of Bcm, present the algorithm for obtaining the nonspurious space, and examine the dimensions obtained for center-of-mass free SU(3) subspaces in representative light nuclei.

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F. Q. Luo, M. A. Caprio, T. Dytrych. 2012-11-14. Construction of the center-of-mass free space for the SU(3) no-core shell model. https://doi.org/10.1016/j.nuclphysa.2012.11.003

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