Toward a microscopic understanding of the interacting boson model of nuclei

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Fermion shell model Hamiltonians are constructed which have a class of eigenstates composed of monopole pairs and quadrupole pairs only. Since no boson approximation needs to be made, the Pauli principle is kept intact. Because the SO/sub 8/ model has a one-to-one correspondence between the space spanned by the fermion states composed of the special monopole and quadrupole pairs of neutrons and protons and the space spanned by the monopole and quadrupole bosons, it is discussed in detail. Recent developments in the Sp/sub 6/ model are also reported. These two models classify all the shell model states by the number ... continued below

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Pages: 39

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Ginocchio, J.N. January 1, 1985.

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Description

Fermion shell model Hamiltonians are constructed which have a class of eigenstates composed of monopole pairs and quadrupole pairs only. Since no boson approximation needs to be made, the Pauli principle is kept intact. Because the SO/sub 8/ model has a one-to-one correspondence between the space spanned by the fermion states composed of the special monopole and quadrupole pairs of neutrons and protons and the space spanned by the monopole and quadrupole bosons, it is discussed in detail. Recent developments in the Sp/sub 6/ model are also reported. These two models classify all the shell model states by the number of identical fermion pairs not coupled to coherent monopole or quadrupole pairs. It is suggested that light nuclei may combine features of both SU/sub 3/ and SO/sub 6/ symmetry simultaneously. 27 refs., 6 figs., 2 tabs. (LEW)

Physical Description

Pages: 39

Notes

NTIS, PC A03/MF A01.

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  • 3. Capri symposium on symmetry and supersymmetry in nuclear and subnuclear physics, Capri, Italy, 20 May 1985

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  • Other: DE85015735
  • Report No.: LA-UR-85-2704
  • Report No.: CONF-8505190-1
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 5367628
  • Archival Resource Key: ark:/67531/metadc1065264

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Office of Scientific & Technical Information Technical Reports

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Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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  • January 1, 1985

Added to The UNT Digital Library

  • Feb. 4, 2018, 10:51 a.m.

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  • May 25, 2018, 5:36 p.m.

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Ginocchio, J.N. Toward a microscopic understanding of the interacting boson model of nuclei, article, January 1, 1985; New Mexico. (digital.library.unt.edu/ark:/67531/metadc1065264/: accessed May 27, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.