Mapping Set<enum> using @ElementCollection

I have the following enum:

package ir.raysis.tcs.rule.days;

public enum Days {
    SUNDAY, MONDAY, TUESDAY, WEDNESDAY,
    THURSDAY, FRIDAY, SATURDAY;
}

I tried to map it as a Set<Days> days as follows:

@ElementCollection(targetClass = Days.class) 
@JoinTable(name = "days",joinColumns = @JoinColumn(name = "rule_id")) 
@Column(name ="daysOfWeek", nullable = false) @Enumerated(EnumType.STRING) 
private Set<Days> days = new HashSet<>();

However, it throws the following exception:

Initial SessionFactory creation failed.org.hibernate.MappingException: Could not determine type for: java.util.Set, at table: rule, for columns: [org.hibernate.mapping.Column(days)]
Apr 14, 2013 4:15:17 PM org.apache.catalina.core.StandardWrapperValve invoke
SEVERE: Servlet.service() for servlet [jsp] in context with path [/ptcs] threw exception [javax.servlet.ServletException: java.lang.ExceptionInInitializerError] with root cause
org.hibernate.MappingException: Could not determine type for: java.util.Set, at table: rule, for columns: [org.hibernate.mapping.Column(days)]
    at org.hibernate.mapping.SimpleValue.getType(SimpleValue.java:306)
    at org.hibernate.mapping.SimpleValue.isValid(SimpleValue.java:290)
    at org.hibernate.mapping.Property.isValid(Property.java:217)
    at org.hibernate.mapping.PersistentClass.validate(PersistentClass.java:464)
    at org.hibernate.mapping.RootClass.validate(RootClass.java:235)
    at org.hibernate.cfg.Configuration.validate(Configuration.java:1362)
    at org.hibernate.cfg.Configuration.buildSessionFactory(Configuration.java:1865)
    at ir.raysis.tcs.db.HibernateUtil.<clinit>(HibernateUtil.java:18)
    at ir.raysis.tcs.db.SaveUpadteDelete.save(SaveUpadteDelete.java:33)
    at ir.raysis.tcs.db.dBAllFunc.save(dBAllFunc.java:35)
    at ir.raysis.tcs.db.AbsDBObject.save(AbsDBObject.java:45)
    at ir.raysis.tcs.action.CreateMember