Absorption effects in nuclear particle correlations

We calculate the contribution of absorption effects to the correlation function of two identical particles emitted by a fixed source. These effects result from the successive collisions undergone by the emitted particles before they leave the source of emission.

Figure 1

Schematic illustration of the two-particle correlation measurement from incoherent pointlike sources located at ${\overline{r}}_1$ and ${\overline{r}}_2$ inside a nuclear extended source of density $\rho \left(\overline{r_i}\right)$. The emitted particles of momentum $\overline{k_a}$ and $\overline{k_b}$ are counted by detectors $a$ and $b$.

Figure 2

Emission of two nucleons at $E/p=100$ MeV. The source functions $S(b,z)$ for a Gaussian density ($r_0=8$ fm) and several values of the absorption parameter $W_0$ are drawn in (a) and (b). On (c) we have reported the correlation functions $R\left(q\right)$ as function of the variable $q$ (MeV/$c$) associated to the different source functions reported in (a) and (b).

Figure 3

The same as for Fig. 2 for a Gaussian density with $r_0=4\mathrm{fm}.$

Figure 4

The source functions $S(b,z)$ [(a) and (b)] for a Gaussian density $r_0=8$ fm and for a constant density $R=1.35r_0$ fm without any absorption ($W_0=0$ MeV) and the corresponding correlation functions $R\left(q\right)$ (c).

Figure 5

The same as for Fig. 4 with an absorption parameter $W_0=30$ MeV.

Figure 6

The same as for Fig. 5 for a Gaussian and a Constant density with an absorption parameter $W_0=30$ MeV, $r_0=4$ fm, and $R=2.7r_0$.