Theoretical Description of Collective Motion in Nuclei: Shell Model and ApproximationsNo Access

SYMPLECTIC NO-CORE SHELL MODEL

JERRY P. DRAAYER

Department of Physics and Astronomy, Louisiana State University, Baton Rouge,Louisiana 70803, USA

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TOMÁŠ DYTRYCH

Department of Physics and Astronomy, Louisiana State University, Baton Rouge,Louisiana 70803, USA

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KRISTINA D. SVIRATCHEVA

Department of Physics and Astronomy, Louisiana State University, Baton Rouge,Louisiana 70803, USA

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CHAIRUL BAHRI

Department of Physics and Astronomy, Louisiana State University, Baton Rouge,Louisiana 70803, USA

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, and

JAMES P. VARY

Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA

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https://doi.org/10.1142/S0218301308011811Cited by:0 (Source: Crossref)

Abstract

The symplectic no-core shell model (Sp-NCSM) is described. The theory is applied to a study of the structure of ¹²C and ¹⁶O. Results from a full 6ħΩ NCSM calculation for low-lying states in these nuclei using a realistic nucleon-nucleon interaction are found to project at approximately the 90% level onto a few of the leading 0p-0h and 2p-2h symplectic representations. The results are nearly independent of the oscillator strength parameter and whether bare or renormalized effective interactions are used in the analysis. The Sp-NCSM model space is typically only a very small fraction (under 1%) of the NCSM space, and grows slowly with increasing ħΩ. The comparisons with NCSM results suggest either the effective nucleon-nucleon interaction possesses a heretofore unappreciated symmetry, namely Sp(3,R) and the complementary (spin-isospin) supermultiplet symmetry, or the nuclear many-body system acts as a filter that allows the symplectic symmetry to propagate in a coherent way into the many-body dynamics while tending to dampen out symplectic symmetry breaking terms. Also, since the Sp-NCSM is a multi-ħΩ generalization of the Elliott SU(3) model, the results obtained to date reaffirm the relevance of SU(3) to atomic nuclei.

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SYMPLECTIC NO-CORE SHELL MODEL

Abstract

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