The Pro version of the Prometheus Exporter for Bitbucket provides information about Bitbucket Mbeans from JVM. You can find how to enable MBeans for Bitbucket here.
com.atlassian.bitbucket, com.atlassian.bitbucket.thread-pools, com.atlassian.diagnostics, com.atlassian.webhooks:
Metrics are provided only for attributes which are of the long, int, boolean and double types.
Naming convention
All mbeans attributes start with bitbucket_jmx_ prefix.
Let's take the CloneBytesWritten attribute of the com.atlassian.bitubucket Mbean with the name HttpHostingStatistics: