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

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89<br />

The relation obta<strong>in</strong>ed <strong>in</strong> Eq. (7.9) illustrates two important f<strong>in</strong>d<strong>in</strong>gs. First, it shows<br />

that for low miss<strong>in</strong>g momenta (small δω) the degree of off-shellness wil be smaller<br />

than for the higher miss<strong>in</strong>g momentum range. Second, it <strong>in</strong>dicates that the ambiguities<br />

decrease as q <strong>and</strong> ω <strong>in</strong>crease, thereby mak<strong>in</strong>g the ratio equal to one.<br />

An <strong>in</strong>terest<strong>in</strong>g physical observable <strong>in</strong> the context of off-shell effects is the left-right<br />

asymmetry, whose Q 2 evolution also confirms the above behaviour. This particular<br />

observable is <strong>in</strong>terest<strong>in</strong>g <strong>in</strong> that it reflects the behaviour of the R T L response<br />

function. Fig. 7.8 shows the left-right asymmetry for the 12 C(e, e ′ p) 11 B(1p −1<br />

3/2 ) reaction<br />

at four different energies under quasielastic conditions. Indeed, the ambiguities<br />

decrease with <strong>in</strong>creas<strong>in</strong>g momentum transfers, <strong>and</strong> are more significant for higher<br />

miss<strong>in</strong>g momenta. This concurs with the f<strong>in</strong>d<strong>in</strong>gs of Ref. [42]. The left-right asymmetry<br />

does not depend on spectroscopic factors <strong>and</strong> has frequently been illustrated<br />

to be extremely sensitive to the various <strong>in</strong>gredients that enter the model calculations.<br />

As such it is an <strong>in</strong>terest<strong>in</strong>g variable for discrim<strong>in</strong>at<strong>in</strong>g for example between<br />

the different gauge choices. Fig. 7.9 shows our predictions for A LT at Q 2 = 0.8<br />

(GeV/c) 2 . We have performed optical potential <strong>and</strong> Glauber calculations, consider<strong>in</strong>g<br />

both the CC1 <strong>and</strong> CC2 current operator. At first sight, it appears that the<br />

data favor the calculations us<strong>in</strong>g the CC2 current operator. The CC1 calculations<br />

tend to overestimate the measured left-right asymmetry. For the 1p 1/2 knockout the<br />

overall agreement is satisfactory. It is remarkable that for a particular choice for the<br />

current operator, the Glauber <strong>and</strong> optical potential model produce A LT ’s that are<br />

close at miss<strong>in</strong>g momenta below the Fermi momentum. Once aga<strong>in</strong>, it emerges that<br />

the optical potential <strong>and</strong> the Glauber model, despite their very different start<strong>in</strong>g<br />

po<strong>in</strong>ts, yield results that are remarkably similar.

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