We present a measurement of elemental fragmentation cross sections (EFCSs) for ${}^{32-38}\mathrm{S}$ on a carbon target at approximately 200 MeV/nucleon. Our measurement, together with existing data, reveals a universal trend toward unity in the odd-even staggering (OES) magnitude of the EFCSs with increasing projectile isospin and consistency in its strength variation across different isotopic chains. This is well reproduced by the isospin-dependent quantum molecular dynamics model coupled with the GEMINI evaporation model (IQMD+GEMINI). The magnitude of OES exhibits a dependence on the excitation energy distribution (EED) of prefragments in the collision phase, providing a potential method for evaluating the EED using high-precision EFCS data.

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• Direct reactions
• Nuclear fragmentation
• Nuclear reactions
• 20 ≤ A ≤ 38
• Radioactive beams