A scaling phenomenon for the cross section of fragment produced in projectile fragmentation reactions
Abstract
A scaling phenomenon has been found for the cross section of a fragment, which is defined as a "square" cross section (SCS). This phenomenon can unify the cross sections of fragments in projectile fragmentation (PF) reactions. An empirical formula is proposed to calculate SCS for a fragment with parameters determined by an extensive investigation of measured reactions ranging from Fermi energies to relativistic energies. The scaling phenomenon of SCS has been verified using different techniques, showing that the scaling of SCS generally exists in PF reactions. The concept of SCS, which can be assumed as a standard value for a fragment, is shown to accurately predict the cross sections of isotopes in PF reactions with incident energies ranging from tens of A MeV to approximately 1000A MeV.
- Publication:
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Science China Physics, Mechanics, and Astronomy
- Pub Date:
- September 2019
- DOI:
- 10.1007/s11433-018-9364-x
- Bibcode:
- 2019SCPMA..6292011S
- Keywords:
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- scaling phenomenon;
- cross section prediction;
- intermediate mass fragments;
- projectile fragmentation