Atomikos, Hibernate 4/5, Spring 4, Jetty - unable to locate current JTA transaction - spring

Question

I have tried many different solutions, but getting the exception:
org.hibernate.HibernateException: Unable to locate current JTA transaction
I am using Atomikos, Hibernate 4/5, Spring 4 and Jetty.
How to configure Spring 4 + Hibernate 4/5 (non JPA)?
Atomikos documentation only has an example with JPA.
I would be very grateful for a working example (non JPA, non JEE Application server).
This example changes non JPA:
<context:annotation-config />
<context:component-scan base-package="com.atomikos.icatch.jta.hibernate4" />
<tx:annotation-driven transaction-manager="transactionManager" mode="proxy" proxy-target-class="false" />
<aop:aspectj-autoproxy />
<!-- Construct Atomikos UserTransactionManager, needed to configure Spring -->
<bean id="atomikosTransactionManager" class="com.atomikos.icatch.jta.UserTransactionManager" init-method="init" destroy-method="close" depends-on="dataSource">
<property name="forceShutdown" value="true" />
</bean>
<!-- Also use Atomikos UserTransactionImp, needed to configure Spring -->
<bean id="atomikosUserTransaction" class="com.atomikos.icatch.jta.UserTransactionImp">
<property name="transactionTimeout" value="300" />
</bean>
<!-- by default : looks for java:comp/UserTransaction -->
<bean id="transactionManager"
class="org.springframework.transaction.jta.JtaTransactionManager">
<property name="userTransaction" ref="atomikosUserTransaction"></property>
<property name="transactionManager" ref="atomikosTransactionManager"></property>
</bean>
<bean id="dataSource" class="com.atomikos.jdbc.AtomikosDataSourceBean"
destroy-method="close" init-method="init" >
<property name="uniqueResourceName" value="atomikos-standalone" />
<property name="maxPoolSize" value="10" />
<property name="minPoolSize" value="5" />
<property name="testQuery" value="SELECT 1" />
<property name="xaDataSource" ref="xaReferent" />
</bean>
<bean id="xaReferent" class="org.h2.jdbcx.JdbcDataSource">
<property name="URL" value="jdbc:h2:~/test-db;MODE=PostgreSQL;MVCC=TRUE;DB_CLOSE_DELAY=-1" />
<property name="user" value="sa" />
<property name="password" value="" />
</bean>
<bean class="org.springframework.orm.jpa.support.PersistenceAnnotationBeanPostProcessor" />
<bean class="org.springframework.dao.annotation.PersistenceExceptionTranslationPostProcessor" />
<bean id="sessionFactory" class="org.springframework.orm.hibernate4.LocalSessionFactoryBean">
<property name="dataSource" ref="dataSource" />
<property name="packagesToScan" value="com.atomikos.icatch.jta.hibernate4"/>
<property name="jtaTransactionManager" ref="transactionManager" />
<property name="hibernateProperties">
<props>
<prop key="hibernate.transaction.jta.platform">com.atomikos.icatch.jta.hibernate4.AtomikosPlatform</prop>
<prop key="show_sql" >true</prop>
</props>
</property>
</bean>
</beans>
Update
<bean id="sessionFactory" class="org.springframework.orm.hibernate4.LocalSessionFactoryBean">
<property name="dataSource" ref="dataSource" />
<property name="packagesToScan" value="com.atomikos.icatch.jta.hibernate4"/>
<property name="hibernateProperties">
<props>
<prop key="dialect">org.hibernate.dialect.H2Dialect</prop>
<prop key="current_session_context_class">jta</prop>
<prop key="hibernate.transaction.factory_class">org.hibernate.engine.transaction.internal.jta.CMTTransactionFactory</prop>
<prop key="hibernate.transaction.jta.platform">com.atomikos.icatch.jta.hibernate4.AtomikosPlatform</prop>
<prop key="hbm2ddl.auto">create</prop>
<prop key="connection.release_mode">auto</prop>
<prop key="cache.provider_class">org.hibernate.cache.NoCacheProvider</prop>
<prop key="show_sql">true</prop>
</props>
</property>
</bean>