Breaking and restoration of rotational symmetry in the low energy spectrum of light α -conjugate nuclei on the lattice I: 8Be and 12C

Gianluca Stellin; Serdar Elhatisari; Ulf G. Meißner

doi:10.1140/epja/i2018-12671-6

Breaking and restoration of rotational symmetry in the low energy spectrum of light α -conjugate nuclei on the lattice I: ⁸Be and ¹²C

Gianluca Stellin^*
, Serdar Elhatisari
, Ulf G. Meißner

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

The breaking of rotational symmetry on the lattice for bound eigenstates of the two lightest alpha conjugate nuclei is explored. Moreover, a macroscopic alpha-cluster model is used for investigating the general problems associated with the representation of a physical many-body problem on a cubic lattice. In view of the descent from the 3D rotation group to the cubic group symmetry, the role of the squared total angular momentum operator in the classification of the lattice eigenstates in terms of SO(3) irreps is discussed. In particular, the behaviour of the average values of the latter operator, the Hamiltonian and the inter-particle distance as a function of lattice spacing and size is studied by considering the 0 ⁺, 2 ⁺, 4 ⁺ and 6 ⁺ (artificial) bound states of ⁸Be and the lowest 0 ⁺, 2 ⁺ and 3 ^- multiplets of ¹²C.

Original language	English
Article number	232
Journal	European Physical Journal A
Volume	54
Issue number	12
DOIs	https://doi.org/10.1140/epja/i2018-12671-6
State	Published - 1 Dec 2018
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2018, SIF, Springer-Verlag GmbH Germany, part of Springer Nature.

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1140/epja/i2018-12671-6

Cite this

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title = "Breaking and restoration of rotational symmetry in the low energy spectrum of light α -conjugate nuclei on the lattice I: 8Be and 12C",

abstract = "The breaking of rotational symmetry on the lattice for bound eigenstates of the two lightest alpha conjugate nuclei is explored. Moreover, a macroscopic alpha-cluster model is used for investigating the general problems associated with the representation of a physical many-body problem on a cubic lattice. In view of the descent from the 3D rotation group to the cubic group symmetry, the role of the squared total angular momentum operator in the classification of the lattice eigenstates in terms of SO(3) irreps is discussed. In particular, the behaviour of the average values of the latter operator, the Hamiltonian and the inter-particle distance as a function of lattice spacing and size is studied by considering the 0 +, 2 +, 4 + and 6 + (artificial) bound states of 8Be and the lowest 0 +, 2 + and 3 - multiplets of 12C.",

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note = "Publisher Copyright: {\textcopyright} 2018, SIF, Springer-Verlag GmbH Germany, part of Springer Nature.",

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