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

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38 Chapter 5. The Eikonal F<strong>in</strong>al State<br />

600<br />

400<br />

12 C<br />

V real<br />

[MeV]<br />

200<br />

0<br />

-200<br />

Vector<br />

Scalar<br />

-400<br />

-600<br />

600<br />

400<br />

V imag<br />

[MeV]<br />

200<br />

0<br />

-200<br />

Scalar<br />

Vector<br />

-400<br />

V S<br />

+ V V<br />

[MeV]<br />

-600<br />

200<br />

100<br />

0<br />

-100<br />

100 MeV<br />

500 MeV<br />

1000 MeV<br />

Consistent<br />

imag<strong>in</strong>ary<br />

real<br />

-200<br />

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6<br />

r [fm]<br />

Figure 5.3 The real <strong>and</strong> imag<strong>in</strong>ary parts of the Cooper optical potentials for the 12 C<br />

target nucleus, at three values of the proton k<strong>in</strong>etic energy : 100 MeV (solid l<strong>in</strong>e), 500 MeV<br />

(dashed l<strong>in</strong>e) <strong>and</strong> 1000 MeV (dotted l<strong>in</strong>e). The upper panel depicts the real parts of the<br />

Dirac vector <strong>and</strong> scalar potentials, while the middle panel does the same for the imag<strong>in</strong>ary<br />

parts. In the bottom panel, the dot-dashed l<strong>in</strong>e shows the sum of the scalar <strong>and</strong> vector<br />

potential as obta<strong>in</strong>ed from the relativistic Hartree calculations as outl<strong>in</strong>ed <strong>in</strong> Sec. 3.

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