Dynamical Correlations and the Nuclear Photoeffect

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概要

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• The dipole sum rules of Levinger and Bethe are used to estimate the influence of strong dynamical correlations, generated by realistic 2-nucleon potentials, on the photoeffect in heavy nuclei. Our description of the nuclear ground state is an asymptotic one, based on a complete set of correlated functions {FΦ_m} where F is a product of 2-body correlation factors f appropriate to a system with strong short-range repulsions and {Φ_m} a complete set of Fermigas model functions satisfying periodic boundary conditions over a fundamental volume σ_ identified with the (assumed large) nuclear volume. The integral of the photonuclear cross section over all photon energies, σ_<int>=∫σ(W)dW, is estimated in zeroth cluster order for Hamada-Johnston, Brueckner-Gammel-Thaler, Gammel-Christian-Thaler, and Ohmura-Morita-Yamada potentials with a ground-state wave function constructed from the FΦ_m via a firstorder perturbation theory. The bremsstrahlung-weighted cross section, σ_b=∫σ(W) W^<-1>dW, is calculated with the " unperturbed" wave function FΦ_0, where Φ_0 is the wave function of the degenerate Fermi gas; here first-order cluster corrections are included. The first energy moment of the cross section, σ_1=∫σ(W) WdW, is also evaluated using FΦ_0, but keeping only lowest cluster contributions. Variation of these three energy moments of σ(W) with an inverse range parameter γ in f and with the nuclear radius parameter r_0 is studied. It is found that σ_<int> and σ_1 which depend explicitly on the 2-nucleon potential and are sensitive to the short-range behavior of f, are substantially increased, and σ_b which is sensitive to the longrange behavior of f, may be appreciably diminished, compared to their respective values for a Fermi-gas model and well-behaved central potentials fitting the low energy scattering data. (In particular, for all potentials tested and for reasonable parameter choices, σ_<int> is enhanced by roughly a factor 2 over the TRK value.) It is anticipated that, in the future, the Levinger-Bethe sum rules may emerge as important tools for probing the validity of favored models of the nuclear ground state and of the 2-nucleon potential.

• 理論物理学刊行会の論文
• 1965-11-25

著者

• Clark John

  Wayman Crow Laboratory Of Physics Washington University

• WANG Tso-Pin

  Wayman Crow Laboratory of Physics Washington University

関連論文

• Dynamical Correlations and the Nuclear Photoeffect

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