What is your "res-auth" type in ejb-jar.xml / web.xml?
Can you try setting it to "Application"
eg:
<resource-ref>
<res-ref-name>jdbc/RES_NAME</res-ref-name>
<res-type>javax.sql.DataSource</res-type>
[b]<res-auth>Application</res-auth>[/b]
<res-sharing-scope>Shareable</res-sharing-scope>
</resource-ref>
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