Journal Article

FZJ-2018-07811

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Breaking and restoration of rotational symmetry in the low energy spectrum of light $ \alpha$α-conjugate nuclei on the lattice I: 8Be and 12C

Stellin, G. (Corresponding author) ; Elhatisari, S. ; Meißner, U.-G.FZJ*

2018
Springer Heidelberg

This record in other databases:    

Please use a persistent id in citations: http://hdl.handle.net/2128/21237  doi:10.1140/epja/i2018-12671-6

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.

---

Contributing Institute(s):

1. Theorie der Starken Wechselwirkung (IAS-4)
2. Theorie der starken Wechselwirkung (IKP-3)
3. JARA - HPC (JARA-HPC)

Research Program(s):

1. 511 - Computational Science and Mathematical Methods (POF3-511) (POF3-511)
2. DFG project 196253076 - TRR 110: Symmetrien und Strukturbildung in der Quantenchromodynamik (196253076) (196253076)
3. Nuclear Lattice Simulations (jara0015_20130501) (jara0015_20130501)

Appears in the scientific report 2018

---

Database coverage:
; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; IF < 5 ; JCR ; Nationallizenz ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Web of Science Core Collection

---