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Nuclear Shell Model and Level Density

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Compound-Nuclear Reactions

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 254))

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Abstract

We discuss the shell-model description of the nuclear level density and underlying physics. The reliable results can be derived avoiding the full diagonalization of the huge Hamiltonian matrices. Taking into account all available interactions (not only the most collective ones) is necessary to explain the smooth energy behavior of the level density. In particular, the popular “constant temperature model” gives a good description of the results but turns out to be unrelated to the suggested pairing phase transition reflecting the fast chaotization of many-body dynamics.

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Acknowledgements

The whole development of the method was done in collaboration with M. Horoi and R.A. Sen’kov; discussions with N. Auerbach and B.A. Brown are acknowledged. We thank students A. Renzaglia and A. Berlaga for participation in the research. The work on level density was supported by NSF grants PHY-1068217 and PHY-1404442, and the grant from the Binational Science Foundation US-Israel.

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Authors and Affiliations

  1. Department of Physics and Astronomy and NSCL/FRIB, Michigan State University, East Lansing, MI, USA

    Vladimir Zelevinsky

  2. Department of Physics, Grand Valley State University, Allendale, MI, USA

    Sofia Karampagia

Authors
  1. Vladimir Zelevinsky
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  2. Sofia Karampagia
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Corresponding author

Correspondence to Vladimir Zelevinsky .

Editor information

Editors and Affiliations

  1. Lawrence Livermore National Laboratory, Livermore, CA, USA

    Jutta Escher

  2. Department of Physics, Yale University, New Haven, CT, USA

    Yoram Alhassid

  3. Lawrence Berkeley National Laboratory, Berkeley, CA, USA

    Lee A. Bernstein

  4. National Nuclear Data Center, Brookhaven National Laboratory, Upton, NY, USA

    David Brown

  5. North Carolina State University, Raleigh, NC, USA

    Carla Fröhlich

  6. Los Alamos National Laboratory, Los Alamos, NM, USA

    Patrick Talou

  7. Lawrence Livermore National Laboratory, Livermore, CA, USA

    Walid Younes

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Zelevinsky, V., Karampagia, S. (2021). Nuclear Shell Model and Level Density. In: Escher, J., et al. Compound-Nuclear Reactions . Springer Proceedings in Physics, vol 254. Springer, Cham. https://doi.org/10.1007/978-3-030-58082-7_14

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