Why does Hibernate throw org.hibernate.exception.LockAcquisitionException?

I have this method :

mymethod(long id){  
    Person p = DAO.findPerson(id);

    Car car = new Car();
    car.setPerson(p);
    p.getCars().add(car);

    DAO.saveOrUpdate(car);
    DAO.saveOrUpdate(p);
    DAO.delete(p.getCars().get(0));//A person have many cars
}  

Mapping :

Person.hbm.xml

<!-- one-to-many : [1,1]-> [0,n] -->
<set name="car" table="cars" lazy="true" inverse="true">
    <key column="id_doc" />
    <one-to-many class="Car" />
</set>

<many-to-one name="officialCar"
class="Car" 
column="officialcar_id" lazy="false"/>  

Cars.hbm.xml

<many-to-one name="person" class="Person"
            column="id_person" not-null="true" lazy="false"/>   

This method works well for a single thread, and on multiple threads, gives me an error:

02/08/2014 - 5:19:11 p.m. - [pool-1-thread-35] - WARN - org.hibernate.util.JDBCExceptionReporter - SQL Error: 60, SQLState: 61000 
02/08/2014 - 5:19:11 p.m. - [pool-1-thread-35] - ERROR - org.hibernate.util.JDBCExceptionReporter - ORA-00060: deadlock detection while waiting for a resource 
 
02/08/2014 - 5:19:11 p.m. - [pool-1-thread-35] - WARN - org.hibernate.util.JDBCExceptionReporter - SQL Error: 60, SQLState: 61000 
02/08/2014 - 5:19:11 p.m. - [pool-1-thread-35] - ERROR - org.hibernate.util.JDBCExceptionReporter - ORA-00060: deadlock detection while waiting for a resource 
 
02/08/2014 - 5:19:11 p.m. - [pool-1-thread-35] - ERROR - org.hibernate.event.def.AbstractFlushingEventListener - Could not synchronize database state with session 
org.hibernate.exception.LockAcquisitionException: Could not execute JDBC batch update

AOP Transaction :

<tx:advice id="txAdviceNomService" transaction-manager="txManager">
    <tx:attributes>
        <tx:method name="*" propagation="REQUIRED" rollback-for="java.lang.Exception" />
        <tx:method name="getAll*" read-only="true" propagation="SUPPORTS" />
        <tx:method name="find*" read-only="true" propagation="SUPPORTS" />
    </tx:attributes>
</tx:advice>

NB : When i add Thread.sleep(5000) after update, it is ok. But this solution is not clean.

Answer

I have Cars -> (1 -n) places. And i have a foreign key in the table place (id_car). This foreign key dont have an index. When i add an index to this foreign key, my problem is resolved.

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