Download Thesis in Pdf Format - Theoretical Nuclear Physics and ...

66 Chapter 6. Final State Interactions and the Eikonal Approximation
R L+TT
[fm 3 ]
R TL
[fm 3 ]
R T
[fm 3 ]
4.5 5
3.5 4
2.5 3
1.5 2
0.5 1
0
0
-1
-2
-3
-4
-5
14
12
10
8
6
4
2
0
0 200 400
p m
[MeV/c]
p 3/2
p 1/2
OMEA
RMSGA
0 200 400
p m
[MeV/c]
Figure 6.4 Measured R L+T T , R T L and R T structure functions, and the corresponding
eikonal (OMEA) and Glauber (RMSGA) calculations. The data are taken from Ref. [15].
differential cross sections is rather modest. We will now turn to the different unpolarized
structure functions of the JLAB experiment of Ref. [15]. In Fig. 6.4, the
response functions R L+T T , R T L and R T are presented as a function of missing momentum
for knockout from the p-shell levels. Since the cross sections were measured
in perpendicular kinematics, it was not possible to isolate the longitudinal response
function R L . Instead, the combination R L+T T = R L + v T T
v L
R T T was extracted. We
note that the conventions used for defining the response functions by the authors of
Ref. [15] is somewhat different from ours. This difference is kinematical from origin
and independent from the missing momentum p m . We have applied the appropriate
scaling factor (∼ 0.41) to our calculations in Fig. 6.4.
We start by making a few general observations that apply to both methods.
As can be seen in Fig. 6.4, both calculations are able to reproduce the necessary
strength for the longitudinal response function; the agreement with the data is rather
good. We note that the contribution of the R T T structure function is small (< 10 %).