Advances in Nuclear Physics by C. Mahaux, R. Sartor (auth.), J. W. Negele, Erich Vogt

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

Nuclear many-body idea 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 20 th quantity of Advances in Nuclear Physics is hence dedicated to significant theoretical chapters addressing primary matters: realizing single-particle houses in nuclei and the constant formula of a relativistic thought applicable for hadronic physics. The long-standing challenge of realizing single-particle habit in a strongly interacting nuclear procedure takes on new urgency and sig­ nificance within the face of certain 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 overview of the suitable facets of many­ physique concept and of past remedies within the nuclear physics literature. It additionally provides the author's personal imaginative and prescient of ways to correctly formulate and comprehend single-particle habit in response to the self-energy, or mass operator. Their strategy offers a strong, unified description of the nuclear suggest box that covers damaging in addition to optimistic energies and continually fills in that info that can't but be calculated reliably microscopically through a theoretically prompted phenomenology. specific emphasis is positioned upon scan, either within the exhaustive comparisons with experimental info and within the particular dialogue of the family of every of the theoretical amounts outlined within the bankruptcy to actual observables.

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Note the close correspondence between Eqs. 38b) for the mass operator and Eqs. 40b) for the momentum distribution: Eqs. 41b) Single-Particle Motion in Nuclei 46 Up to second order, the momentum distribution thus reads [see Eq. 4lc) Similar expressions have recently also been obtained in the framework of variational-type calculations (BFF 89a, BFF 89b, BFF 89c, BFF 90). In keeping with Eq. 23), n2(k) is discontinuous at k = kF' where it has an infinite slope. The latter feature derives from Eqs.

2. JU (k' ) -! 38b) These quantities are represented by the diagrams in the upper part of Fig. 5. , belong to the (A + I)-nucleon system. , belong to the (A - I)-nucleon system. 39a) is the "auxiliary" Fermi energy. Correspondingly, the lower index (-) labels 43 Single-Particle Motion in Nuclei k ,ro k ,ro M 2(+)(k ;ro) M 2(_)(k ;ro) Fig. 5. Diagrammatic representation of the second-order contributions to the mass operator (top) and to the momentum distribution (bottom). An upward pointing arrow is associated with a particle state and a downward pointing arrow with a hole state.

5a) A~O In the case considered here, it is a fair approximation to replace the sum over A by an integral over energy, and O~o by the average distribution S(E) given by Eq. 2d). 5b) This has the following physical interpretation. The configuration 4>0 is an eigenstate of the model Hamiltonian Ho but not of the full Hamiltonian H. 15 Single-Particle Motion in Nuclei If one creates the system in the configuration 4>0 at time t = 0, the probability of finding it in the configuration 4>0 at a later time t decays approximately exponentially in time like exp( -t/70)_ These quasistationary excitations are called "quasiparticle" states if they occur above the Fermi surface, in which case they correspond to an enhancement of the spectroscopic factors observed in the (A + I)-nucleon system via stripping reactions.

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