By C. Mahaux, R. Sartor (auth.), J. W. Negele, Erich Vogt (eds.)

Nuclear many-body conception presents the basis for knowing and exploiting the hot iteration of experimental probes of nuclear constitution which are now turning into to be had. the 20th quantity of Advances in Nuclear Physics is hence dedicated to significant theoretical chapters addressing basic concerns: figuring out single-particle houses in nuclei and the constant formula of a relativistic idea acceptable for hadronic physics. The long-standing challenge of figuring out single-particle habit in a strongly interacting nuclear process takes on new urgency and sig­ nificance within the face of specified measurements of the nuclear spectral functionality in (e, e'p) experiments. within the first bankruptcy, Mahaux and Sartor confront head-on the ambiguities in defining single-particle homes and the constraints in calculating them microscopically. This considerate bankruptcy offers an intensive, pedagogical evaluation of the proper elements of many­ physique concept and of past remedies within the nuclear physics literature. It additionally provides the author's personal imaginative and prescient of the way to correctly formulate and comprehend single-particle habit in keeping with the self-energy, or mass operator. Their method presents a robust, unified description of the nuclear suggest box that covers damaging in addition to confident energies and continually fills in that info that can't but be calculated reliably microscopically by means of a theoretically influenced phenomenology. specific emphasis is put upon scan, either within the exhaustive comparisons with experimental facts and within the specific dialogue of the kinfolk of every of the theoretical amounts outlined within the bankruptcy to actual observables.

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We shall attach particular importance to the analytical properties of the mean field and to the relationship between quantities of physical interest, because these can be extended and exploited in the case of nuclei where detailed calculations are rather prohibitive. 1. Momentum Distribution We henceforth set Ii = 1. In the noninteracting limit, the ground state wave function

1) yields a complex momentum k = kr + ikj • The plane wave exp(ikz) then contains a damping factor exp( -kjz). " The mean free path A is related to the lifetime T by A = VT, where v = k r / m is the nucleon velocity. A similar picture can be developed in the case when one takes out a nucleon from the nuclear matter ground state: if one assumes that this "one-hole configuration" can be characterized by a lifetime, it is useful to introduce a complex potential for describing its time evolution. 3.

30b). For simplicity, we use the same symbol to denote the on-shell value of a quantity when it is expressed as afunction ofk or of E. For instance, the on-shell value of'V(k; w) is V(k) or V(E), depending on whether we label a quasiparticle by its momentum k or its energy E. The concept of a complex mean field is useful for describing the main properties of the quasiparticle peak of the spectral function. It loses much of its validity when one deals with the spectral function far away from its peak.

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