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@ARTICLE{Stellin:858985,
      author       = {Stellin, Gianluca and Elhatisari, Serdar and Meißner,
                      Ulf-G.},
      title        = {{B}reaking and restoration of rotational symmetry in the
                      low energy spectrum of light $ \alpha$α-conjugate nuclei on
                      the lattice {I}: 8{B}e and 12{C}},
      journal      = {The European physical journal / A},
      volume       = {54},
      number       = {12},
      issn         = {0939-7922},
      address      = {Heidelberg},
      publisher    = {Springer},
      reportid     = {FZJ-2018-07811},
      pages        = {232},
      year         = {2018},
      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.},
      cin          = {IAS-4 / IKP-3 / JARA-HPC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IAS-4-20090406 / I:(DE-Juel1)IKP-3-20111104 /
                      $I:(DE-82)080012_20140620$},
      pnm          = {511 - Computational Science and Mathematical Methods
                      (POF3-511) / DFG project 196253076 - TRR 110: Symmetrien und
                      Strukturbildung in der Quantenchromodynamik (196253076) /
                      Nuclear Lattice Simulations $(jara0015_20130501)$},
      pid          = {G:(DE-HGF)POF3-511 / G:(GEPRIS)196253076 /
                      $G:(DE-Juel1)jara0015_20130501$},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000454269400005},
      doi          = {10.1140/epja/i2018-12671-6},
      url          = {https://juser.fz-juelich.de/record/858985},
}