Scaling laws for near barrier Coulomb and Nuclear Breakup

Abstract

We investigate the nuclear and the Coulomb contributions to the breakup cross sections of ${}^6$Li in collisions with targets in different mass ranges. Comparing cross sections for different targets at collision energies corresponding to the same $E/V_{\mathrm{B}}$, we obtain interesting scaling laws. First, we derive an approximate linear expression for the nuclear breakup cross section as a function of $A_{\mathrm{% \scriptscriptstyle T}}^{1/3}$. We then confirm the validity of this expression performing CDCC calculations. Scaling laws for the Coulomb breakup cross section are also investigated. In this case, our CDCC calculations indicate that this cross section has a linear dependence on the atomic number of the target. This behavior is explained by qualitative arguments. Our findings, which are consistent with previously obtained results for higher energies, are important when planning for experiments involving exotic weakly bound nuclei.

4 pages, 2 figures Submitted to Physical Review C

References in corpus (5)

• Scaling and Interference in the Dissociation of Halo Nuclei
• The nuclear and Coulomb breakup of the weakly bound ${}^6$Li with targets in the range from A = 59 to 208
• Enhancement of sub-barrier fusion of two-neutron halo nuclei
• Complete Fusion Enhancement and Suppression of Weakly Bound Nuclei at Near Barrier Energies
• Reaction Cross Section in Heavy-Ion Collisions

Cited by in corpus (2)

• Systematic study of breakup effects on complete fusion at energies above the Coulomb barrier
• Theoretical study of the elastic breakup of weakly bound nuclei at near barrier energies