By C. Mahaux, R. Sartor (auth.), J. W. Negele, Erich Vogt (eds.)
Nuclear many-body thought presents the root for realizing and exploiting the recent new release of experimental probes of nuclear constitution which are now changing into on hand. the 20th quantity of Advances in Nuclear Physics is therefore dedicated to significant theoretical chapters addressing basic concerns: figuring out single-particle homes 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 method takes on new urgency and sig nificance within the face of targeted 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 a radical, pedagogical evaluate of the correct facets of many physique thought and of earlier remedies within the nuclear physics literature. It additionally offers 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 adverse in addition to confident energies and always fills in that details that can't but be calculated reliably microscopically by way of a theoretically stimulated phenomenology. specific emphasis is positioned upon scan, either within the exhaustive comparisons with experimental information and within the precise dialogue of the kinfolk of every of the theoretical amounts outlined within the bankruptcy to actual observables.
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Extra resources for Advances in Nuclear Physics
45b); this last term indicates that one cannot express n 2 ( h) in terms of partial derivatives of 'V2(+)(h; w) alone, and that one cannot express n2(p) in terms of partial derivatives of 'V2 (_)(k; w) alone. 45i) where 52 is given by Eq. 4Se) for the auxiliary potential (RPD 89). In practice, this procedure is time consuming because the integration range extends down to w = wmin(k), which is large and negative. Moreover, the right-hand sides of Eqs. 4li) are, in general, different. c. Mahaux and 48 R.
23) show that the discontinuity of the momentum distribution is equal to Z(k F ). 17a) can be written as the sum of a "quasiparticle" and a "background" contribution: S(k; w) = SQP(k; w) QP S k. 28) The quasiparticle contribution has a Lorentzian shape. It is illustrated by the dashed curve in the lower part of Fig. 2. 28) have the following interpretation. If a nucleon with momentum k > kF is added to the nuclear ground state, the excitation energies of the resulting (A + I)-nucleon system "most likely" will lie in the energy interval [E(k) - EF - W(k), E(k) - EF + W(k)].
2. This segment is located close to the extrapolation of a linear least-squares fit to the empirical values associated with positive energies. This appears to support our claim that the mean field is a continuous function of energy as E changes sign. However, it would be misleading to deduce from Fig. 1 that this continuous function is a simple one. Indeed, it should be noted that the Woods-Saxon potential used in Fig. 2 was independent of energy, while the upper part of Fig. 1 indicates that at positive energy the real part of the mean field is energy dependent.