If the jboss server runs out of threads while accepting jms connections and this results in an OutOfMemoryError:

java.lang.OutOfMemoryError: unable to create new native thread
at java.lang.Thread.start(Native Method)
at org.jboss.mq.il.uil2.SocketManager.start(SocketManager.java:131)
at org.jboss.mq.il.uil2.UILServerILService.run(UILServerILService.java:134)
at java.lang.Thread.run(Thread.java:534)

the server accept thread named 'UILServerILService Accept Thread' will be aborted and further connections will fail even if the thread counts drop below the max limit.