At one point in time, the "heavy rail" - "light rail" meant exactly that. The high volume subway systems like NYC used a heavier rail section, in their case, the 100 lb/yd 100ARA-B section, and light rail systems, such as street cars amd interurbams used much lighter weight rail, frequently 75 lb/yd or less, all the way down to 56 lb/yd. The exception being in streets, the rail section sometimes/freqently had a built in flangeway. This sort of stuff is called "girder rail" in this country and "grooved rail" in Europe. One of the most common of these weighted 128 lb/yd.