Aspects of the final-state interaction and long-range correlations in quasi-elastic (e, e′p) and (e, e′n) reactions
DOI
http://dx.doi.org/10.1016/0375-9474(89)90436-3
http://dx.doi.org/10.1016/0375-9474(89)90436-3
http://dx.doi.org/10.1016/0370-2693(89)90520-0
The ratio of the transverse to longitudinal (e, e′p) strength in the quasi-elastic peak is investigated within a non-relativistic Hartree-Fock (HF) and continuum random-phase approximation (RPA) reaction model. Calculations are performed for proton knockout from different orbitals in 12C and 40Ca. Each single-particle state is found to show a particular behaviour in the transverse to longitudinal ratio. Comparison with experimental data indicates that a beneficial role can be attributed to the RPA correlations.
http://dx.doi.org/10.1016/0370-2693(89)91248-3
We point out that the description of intruder states, incorporating particle-hole (ph) excitation across a closed shell in the spherical shell model or a description starting from the Nilsson model are equivalent. We furthermore indicate that the major part of the nucleon-nucleon interaction, responsible for the low excitation energy of intruder states comes as a two-body proton-neutron quadrupole interaction in the spherical shell model. In the deformed shell model, quadrupole binding energy is gained mainly through the one-body part of the potential.
http://dx.doi.org/10.1016/0370-2693(89)91582-7
We present self-consistent Hartree-Fock (HF) and random-phase approximation (RPA) calculations for quasi-elastic 16O(e, e′ p) cross sections. The role of the final state interaction (FSI) and RPA-like multi-step processes is discussed. Comparing the results with the experimental data, spectroscopic factors could be derived. It is found that the RPA correlations systematically enhance the deduced spectroscopic factors.
http://dx.doi.org/10.1016/0370-2693(89)91109-X
The influence of the nuclear matter compression modulus K∞ on the difference in the charge density distribution of 208Pb−206Pb is investigated in a self-consistent mean field approach with a variety of density dependent effective interactions of the generalized Skyrme type. It is found that in addition to a dependence on the compressibility associated with a given Skyrme force the results also depend strongly on the pairing correlations which, through the level density, are influenced by the nuclear matter effective mass.
Read More: http://www.worldscientific.com/doi/abs/10.1142/S0217732386000646?journal...
A shell-model description for intruder states in both odd-mass and odd-odd nuclei is given starting from 1p1h excitations across closed shells. Combining these results with the behaviour of 0+ intruder states in even-even nuclei, evidence for a scaling of the energy with the number of particle and hole pairs formed in exciting the intruder configuration is obtained.
http://dx.doi.org/10.1016/0375-9474(88)90073-5
A coordinate space RPA formalism is proposed to handle one-nucleon emission processes in a self-consistent way. A method is outlined to solve the RPA equations so obtained for the whole class of rotationally invariant effective interactions, including those having a velocity dependence. The method is used to study 16O(γ, N) reactions with Skyrme-type effective interactions. The use of the long-wavelength approximation (LWA) when handling reactions of this type at medium energies, is criticized. Different alternative forms for the electric transition operators are used, applying Siegert's theorem or not, and it is shown that at higher momentum transfer, the obtained results are strongly sensitive to it. We emphasize that especially beyond energy regions where the LWA is valid, the use of Siegert's theorem should be carefully examined.
http://dx.doi.org/10.1016/0375-9474(88)90483-6
Differential (γ, pi) cross sections on 16O and 40Ca have been calculated within a single-particle direct knock-out model, for photon energies between 40 and 400 MeV. It is shown that generating the bound and scattered states in a Skyrme Hartree-Fock (HF) mean-field, one can account for the global features of the data. Hereby, the role of the velocity-dependent part of the nucleon-nucleon interaction is emphasized.
http://dx.doi.org/10.1016/0370-2693(87)90215-2