T Dytrych et al 2008 J. Phys. G: Nucl. Part. Phys. 35 123101 doi:10.1088/0954-3899/35/12/123101
Ab initio symplectic no-core shell model
REVIEW ARTICLET Dytrych1, K D Sviratcheva1, J P Draayer1, C Bahri1 and J P Vary2
Show affiliationsTOPICAL REVIEW
The no-core shell model (NCSM) is a prominent ab initio method that yields a good description of the low-lying states in few-nucleon systems as well as in more complex p-shell nuclei. Nevertheless, its applicability is limited by the rapid growth of the many-body basis with larger model spaces and increasing number of nucleons. The symplectic no-core shell model (Sp-NCSM) aspires to extend the scope of the NCSM beyond the p-shell region by augmenting the conventional spherical harmonic oscillator basis with the physically relevant symplectic 
symmetry-adapted configurations of the symplectic shell model that describe naturally the monopole–quadrupole vibrational and rotational modes, and also partially incorporate α-cluster correlations. In this review, the models underpinning the Sp-NCSM approach, namely, the NCSM, the Elliott SU(3) model and the symplectic shell model, are discussed. Following this, a prescription for constructing translationally invariant symplectic configurations in the spherical harmonic oscillator basis is given. This prescription is utilized to unveil the extent to which symplectic configurations enter into low-lying states in 12C and 16O nuclei calculated within the framework of the NCSM with the JISP16 realistic nucleon–nucleon interaction. The outcomes of this proof-of-principle study are presented in detail.
- PACS
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21.30.Fe Forces in hadronic systems and effective interactions
- Subjects
- Dates
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Issue 12 (December 2008)
Received 7 August 2008
Published 30 September 2008
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Ab initio symplectic no-core shell model
T Dytrych et al 2008 J. Phys. G: Nucl. Part. Phys. 35 123101
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