Importance truncation in the SU(3) symmetry-adapted no-core shell model

0491170 - ÚJF 2019 RIV PL eng C - Conference Paper (international conference)
Knapp, F. - Dytrych, Tomáš - Oberhuber, T.
Importance truncation in the SU(3) symmetry-adapted no-core shell model.
Acta Physica Polonica B, Proceedings Supplement. Vol. 11. Kraków: Jagellonian University, 2018, s. 65-72. ISSN 1899-2358.
[24th Nuclear Physics Workshop 'Marie and Pierre Curie' Spontaneous Symmetry Breaking in Nuclear Physics. Kazimierz Dolny (PL), 20.09.2017-24.09.2017]
R&D Projects: GA ČR GA16-16772S
Institutional support: RVO:61389005
Keywords : Eigenvalues and eigenfuctions * perturbation techniques * core-shell model
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

We apply, for the first time, the importance-truncation (IT) procedure based on the many-body perturbation theory for the multi-shell SU(3) scheme basis of the ab initio symmetry-adapted no-core shell model (SANCSM). It is shown that the IT method can yield a quantitative justification for the symmetry-based truncation of the SA-NCSM approach. Furthermore, we demonstrate that the IT algorithm can be applied in a symmetry-truncated model space and it leads to even more dramatic reduction in dimensionality of the nuclear eigenvalue problem.
Permanent Link: http://hdl.handle.net/11104/0285217