Elsevier

Physics Reports

Volume 264, Issues 1–5, January 1996, Pages 57-66
Physics Reports

On the mixing of two bound and unbound levels: Energy repulsion and width attraction

https://doi.org/10.1016/0370-1573(95)00027-5Get rights and content

Abstract

The mixing of two unbound levels is discussed in the frame of a non-hermitian effective Hamiltonian. For a real off-diagonal interaction energy repulsion and width attraction are found. Three examples of this phenomenon are discussed: The 2+ doublet at 17 MeV in 8Be, a possible Ks-σ-mixing and the ϱ-ω-mixing.

References (42)

  • P. von Brentano

    Phys. Lett.

    (1990)
  • P. von Brentano

    Phys. Lett.

    (1990)
  • Peter von Brentano

    Nucl. Phys.

    (1992)
  • E. Hernandez et al.

    Phys. Lett.

    (1994)
  • H. Feshbach

    Ann. Phys.

    (1958)
    H. Feshbach

    Ann. Phys.

    (1962)
    H. Feshbach

    Ann. Phys.

    (1967)
  • H. Feshbach

    Theoretical Nuclear Physics. Nuclear reactions

    (1992)
  • J.J.M. Verbaarschot et al.

    Phys. Rep.

    (1985)
  • F.C. Barker

    Phys. Rev. Lett.

    (1975)
  • F. Hinterberger et al.

    Nucl. Phys.

    (1978)
  • K. Kleinknecht

    Annu. Rev. Nucl. Part. Sci.

    (1976)
  • A.J. Buras et al.

    Nucl. Phys.

    (1986)
  • E.G. Adelberger et al.

    Annu. Rev. Nucl. Part. Sci.

    (1985)
  • H.-D. Gräf et al.

    Phys. Rev. Lett.

    (1992)
  • J. von Neumann et al.

    Z. Phys.

    (1929)
  • L.D. Landau et al.
  • D.L. Hill et al.

    Phys. Rev.

    (1968)
  • L. Wolfenstein

    Annu. Rev. Nucl. Part. Sci.

    (1986)
  • C. Cohen-Tannoudji et al.

    Mecanique Quantique

    (1973)
  • J. Dupont-Roc, These, Laboratoure de Physique de l'école normal superieure, Université de Paris...
  • R.P. Feynman

    Photon Hadron Interactions

    (1972)
  • Cited by (56)

    • Influence of impurity on the rate of single photon superradiance and photon transport in disordered N qubit chain

      2019, Physica E: Low-Dimensional Systems and Nanostructures
      Citation Excerpt :

      If we mix two unbound states the resulting complex energies (resonances) of a superposition state show a very complicated behavior. Both the resonances' energies and their width may exhibit crossing or anticrossing which depends on the explicit form of off-diagonal interaction in non- Hermitian Hamiltonian matrix [14–16]. We show that the real and the imaginary parts of E± never cross, however, for some parameters which we specify below, the energies ɛ+, ɛ−, and the widths γ+, γ− can merge together (see Figs. 3 and 4).

    • Randomness and order in many-body dynamics

      2010, Journal of Physics G: Nuclear and Particle Physics
    • Non-Hermitian degeneracy of two unbound states

      2006, Journal of Physics A: Mathematical and General
    • Mesoscopic Nuclear Physics: From Nucleus to Quantum Chaos to Quantum Signal Transmission

      2023, Mesoscopic Nuclear Physics: From Nucleus to Quantum Chaos to Quantum Signal Transmission
    View all citing articles on Scopus
    View full text