Microscopic investigations of mass and charge changing cross sections

The mass and the charge changing cross sections recently measured in inverse kinematics are investigated microscopically in the framework of Glauber model using the ground state point proton∕neutron densities obtained in the relativistic mean field∕relativistic Hartree-Bogoliubov approach. As illustrative examples, explicit results for the nuclei spanning different regions of the periodic table, incident on ${}^{12}\mathrm{C}$, hydrogen, and $-{\text{CH}}_2$ targets are presented. The present study gives an excellent account of the experiment.

Figure 1

The variation of the differences between the calculated [RHB(c) and DEF] and the corresponding experimental [27] binding energies with $T_z$ for nitrogen, fluorine, and iron isotopes. The calculated deformation parameter $\beta$ along with the corresponding Möller-Nix (MN) values [28] (where available) are also shown in the right hand panel.

Figure 2

The variation of the differences between the calculated [RHB(c) and DEF] and the corresponding experimental [27] binding energies with $T_z$ for the chains of $A=17$ and $A=20$ isobars. The calculated DEF quadrupole deformation parameter $\beta$ along with the corresponding MN [28] values (where available) is also shown in the right hand panel.

Figure 3

The differences between the calculated [RHB(c) and DEF] and the corresponding experimental [27] binding energies for the chains of $N=10$ and $N=28$ isotones as a function of $T_z$. The calculated (DEF) $\beta$ along with the corresponding MN [28] values (where available) is also indicated in the lower panel (for details, see caption of Fig. 1).

Figure 4

The calculated [RHB(c) and DEF] rms charge radii for the nitrogen and fluorine isotopic chains. The corresponding experimental [29, 30, 31] values are also shown for comparison.

Figure 5

The calculated [RHB(c) and DEF] nuclear skin thickness $\left(r_n-r_p\right)$ for the nitrogen, fluorine, and iron chains as a function of $T_z$.

Figure 6

The calculated [RHB(c) and DEF] rms charge and neutron radii for $A=17$ and $A=20$ isobars. The corresponding experimental values [29, 30, 31] are also shown for comparison.

Figure 7

The variation of the calculated RHB(c) and DEF matter radii for the $A=17$ and $A=20$ isobaric chains with $T_z$. The corresponding experimental values [6, 30, 31] are also included for comparison.

Figure 8

The calculated [RHB(c) and DEF] neutron skin thickness for the chains of $A=17$ and $A=20$ isobars as a function of $T_Z$ as well as $S_n-S_p$. The corresponding experimental neutron skins [30, 31] (where available) are also shown.

Figure 9

The variation of the calculated [RHB(c) and DEF] rms charge and matter radii with $T_Z$ for the $N=10$ and $N=28$ isotones along with the corresponding experimental radii [6, 29, 31, 33, 34] (where available).

Figure 10

The neutron skin thickness as a function of $T_Z$ for $N=10$ and $N=28$ chains of isotones.

Figure 11

The calculated [RHB(c) and DEF] rms matter radii for the nitrogen and fluorine chains. The corresponding experimental radii [6] (where available) are also shown.

Figure 12

The calculated mass and charge changing cross sections for chain of nitrogen, fluorine, and iron isotopes along with the corresponding experimental values [3, 5, 6, 10], where available.

Figure 13

The calculated mass and charge changing cross sections for chains of $A=17$ and $A=20$ isobars along with the corresponding experimental values [5, 6, 10] where available.

Figure 14

The calculated mass and charge changing cross sections for chains of $N=10$ and $N=28$ isotones along with the corresponding experimental values [3, 5, 6, 10], where available.

Figure 15

The calculated reaction and charge changing cross sections for $1.88A\text{GeV}$ ${}^{56}\mathrm{Fe}$ projectile as a function of different targets. The corresponding experimental cross sections [14] are also shown for comparison.

Figure 16

The target dependence of the calculated and the corresponding experimental [36] charge changing cross sections for the $900A\text{MeV}$ ${}^{238}\mathrm{U}$ projectile.

Figure 17

The calculated [RHB(c) and DEF] charge changing cross sections for the ${}^{56}\mathrm{Fe}$ projectile as a function of the projectile energy (in $A\text{MeV}$). The corresponding experimental results [1] are also shown.

Figure 18

The total mass and neutron stripping cross sections for various stable projectiles at $\sim 600A\text{MeV}$ energy, on ${}^1\mathrm{H}$ and ${}^{12}\mathrm{C}$ targets, along with the corresponding experimental values [1].