First you have to remove final access level modifier to re-create ExecutorService at latter stage. final  modifier does not allow you to change the reference of ExecutorService later during re-initialization. 
In same case I need executor to stop doing his job. For this I call listenDataExecutorService.shutdown();
You have to call three methods in a right sequence to shutdown the ExecutorService: shutdown, awaitTermination, shutdownNow 
Have a look at  below post:
How to properly shutdown java ExecutorService
Then after some time, I need this executor to do this job again. But when I call listenDataExecutorService.execute() exception is thrown.
How can I execute new task for executor after shutdown ?
Before you call execute on that ExecutorService, that service should not be in shutdown state. Make sure that ExecutorService is in proper state to accept tasks => Your application code should properly handle "shutdown" and "re-creation" of ExecutorService.