4 research outputs found
Distorted wave impulse approximation analysis for spin observables in nucleon quasi-elastic scattering and enhancement of the spin-longitudinal response
We present a formalism of distorted wave impulse approximation (DWIA) for
analyzing spin observables in nucleon inelastic and charge exchange reactions
leading to the continuum. It utilizes response functions calculated by the
continuum random phase approximation (RPA), which include the effective mass,
the spreading widths and the \Delta degrees of freedom. The Fermi motion is
treated by the optimal factorization, and the non-locality of the
nucleon-nucleon t-matrix by an averaged reaction plane approximation. By using
the formalism we calculated the spin-longitudinal and the spin-transverse cross
sections, ID_q and ID_p, of 12C, 40Ca (\vec{p},\vec{n}) at 494 and 346 MeV. The
calculation reasonably reproduced the observed ID_q, which is consistent with
the predicted enhancement of the spin-longitudinal response function R_L.
However, the observed ID_p is much larger than the calculated one, which was
consistent with neither the predicted quenching nor the spin-transverse
response function R_T obtained by the (e,e') scattering. The Landau-Migdal
parameter g'_N\Delta for the N\Delta transition interaction and the effective
mass at the nuclear center m^*(r=0) are treated as adjustable parameters. The
present analysis indicates that the smaller g'_{N\Delta}(\approx 0.3) and
m^*(0) \approx 0.7 m are preferable. We also investigate the validity of the
plane wave impulse approximation (PWIA) with the effective nucleon number
approximation for the absorption, by means of which R_L and R_T have
conventionally been extracted.Comment: RevTex 3, 29 pages, 2 tables, 8 figure
Self-consistent Green's function method for nuclei and nuclear matter
Recent results obtained by applying the method of self-consistent Green's
functions to nuclei and nuclear matter are reviewed. Particular attention is
given to the description of experimental data obtained from the (e,e'p) and
(e,e'2N) reactions that determine one and two-nucleon removal probabilities in
nuclei since the corresponding amplitudes are directly related to the imaginary
parts of the single-particle and two-particle propagators. For this reason and
the fact that these amplitudes can now be calculated with the inclusion of all
the relevant physical processes, it is useful to explore the efficacy of the
method of self-consistent Green's functions in describing these experimental
data. Results for both finite nuclei and nuclear matter are discussed with
particular emphasis on clarifying the role of short-range correlations in
determining various experimental quantities. The important role of long-range
correlations in determining the structure of low-energy correlations is also
documented. For a complete understanding of nuclear phenomena it is therefore
essential to include both types of physical correlations. We demonstrate that
recent experimental results for these reactions combined with the reported
theoretical calculations yield a very clear understanding of the properties of
{\em all} protons in the nucleus. We propose that this knowledge of the
properties of constituent fermions in a correlated many-body system is a unique
feature of nuclear physics.Comment: 110 pages, accepted for publication on Prog. Part. Nucl. Phy