Single-particle response function in finite nuclei
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I derive expressions for the single-particle response (structure) function S(E, q) and its sum rule, (Pauli blocking factor) P(q)=∫ dE S(E, q), in terms of the Wigner transforms (WTs) of the single-particle wave functions and the scattering probe σ(q,r) and discuss the semi-classical phase-space interpretation of the results. For σ(q,r)=eiq·r, I derive simple expressions for S(E,q) and P(q) for finite nuclei within the harmonic-oscillator model and compare the results with the well-known results of the Fermi-gas model. © 1982.
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