Why is the magnetic field characterized in units of "Tesla" in the case of a solenoid, while it is typically characterized in terms of the "magnetic field integral" (so in $T\cdot m$) in the case of a toroid?
Example: The ATLAS experiment (an experiment at LHC) is made of two magnetic fields; one due to a solenoid and the other due to a toroid.
In the case of the specific toroid magnetic field, most descriptions characterise the magnetic field in Tesla∙meter ($T\cdot m$).
First example: https://cds.cern.ch/record/409763/files/cer-000336903.pdf
On page 842, second paragraph:
"The BT (meaning Barrel [central] Toroid) provides 2-6 T∙m while the ECT (meaning End-Cap [in forward region] Toroid) contributes with 4-8 T∙m"
"An extensive muon spectrometer with an air-core toroid magnet system surrounds the calorimeters. It includes three layers of high-precision tracking chambers. The field integral of the toroid magnets ranges from 2.0 to 6.0 Tm across most of the detector."