Store File and HFile are synonyms, equivocally used to define the same concept.
When something is written to HBase, it is first written to an in-memory store (memstore), once this memstore reaches a certain size, it is flushed to disk into a store file (everything is also written immediately to a log file for durability). The store files (or HFiles) created on disk are immutable. Sometimes the store files are merged together, this is done by a process called compaction.
For more information with statistics, see here. Happy Learning