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ZHAO Yumin. Beauty and Strangeness in Eigenvalues of Nuclear Shell Model Hamiltonian[J]. Nuclear Physics Review, 2013, 30(3): 260-267. DOI: 10.11804/NuclPhysRev.30.03.260
Citation: ZHAO Yumin. Beauty and Strangeness in Eigenvalues of Nuclear Shell Model Hamiltonian[J]. Nuclear Physics Review, 2013, 30(3): 260-267. DOI: 10.11804/NuclPhysRev.30.03.260
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Beauty and Strangeness in Eigenvalues of Nuclear Shell Model Hamiltonian

  • Institute of Particle and Nuclear Physics, Department of Physics and Astronomy,Shanghai Jiaotong University, Shanghai 200240, China

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  • Received Date: December 31, 1899
  • Revised Date: December 31, 1899
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  • The eigenvalue problem is one of the fundamental issues of sciences. Many research fields have been challenged by diagonalizing huge matrices. The nuclear structure theorists face this problem in studies of medium-heavy
    nuclei in terms of the nuclear shell model, in which the configuration space is too gigantic to handle. Thus one usually truncates the nuclear shell model configuration space based on various considerations. Another approach is to make use of super computers by various algorithms, and/or to obtain approximate eigenvalues. In this paper we review our recent efforts in obtaining approximate eigenvalues of the nuclear shell model Hamiltonian, with the focus on our semi-empirical approach and a number of extrapolation approaches towards predicting the lowest eigenvalue, as well as strong correlation between the sorted eigenvalues and the diagonal matrix elements, and so on.
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