Table 2: This table indicates the radius inside which a given fraction $f(r_{\rm lim})$ of secondary cosmic rays reaching the center were emitted from, for several L and in the case of a disk of radius R=20 kpc. The last line shows that for small L, the effect of the side boundary is completely negligible.
$f(r_{\rm lim}) = 50$ % $f(r_{\rm lim}) = 90$ % $f(r_{\rm lim}) = 99$ %

$R=\infty$ R=20 kpc $R=\infty$ R=20 kpc $R=\infty$ R=20 kpc

$L = \infty$ - 8.6 kpc - 15.3 kpc - 18.5 kpc

L = 5 kpc 5.5 kpc 5.3 kpc 12.5 kpc 12 kpc 25 kpc 17.2 kpc

L = 1 kpc 1.1 kpc 1.1 kpc 2.5 kpc 2.5 kpc 4.4 kpc 4.4 kpc

**Table 2:** This table indicates the radius inside which a given fraction $f(r_{\rm lim})$ of secondary cosmic rays reaching the center were emitted from, for several L and in the case of a disk of radius R=20 kpc. The last line shows that for small L, the effect of the side boundary is completely negligible.
	$f(r_{\rm lim}) = 50$ %	$f(r_{\rm lim}) = 90$ %	$f(r_{\rm lim}) = 99$ %
	$R=\infty$	R=20 kpc	$R=\infty$	R=20 kpc	$R=\infty$	R=20 kpc
$L = \infty$	-	8.6 kpc	-	15.3 kpc	-	18.5 kpc
L = 5 kpc	5.5 kpc	5.3 kpc	12.5 kpc	12 kpc	25 kpc	17.2 kpc
L = 1 kpc	1.1 kpc	1.1 kpc	2.5 kpc	2.5 kpc	4.4 kpc	4.4 kpc

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