Tengo un servicio web REST basado en Jersey que funciona bien cuando se implementa en Glassfish. Cuando despliegue el mismo archivo war en la versión Apache TomEE + 1.6, obtengo la excepción

java.lang.IllegalAccessError: tried to access method com.sun.jersey.core.reflection.ReflectionHelper.getContextClassLoader()Ljava/lang/ClassLoader; from class com.sun.jersey.spi.scanning.AnnotationScannerListener
com.sun.jersey.spi.scanning.AnnotationScannerListener.<init>(AnnotationScannerListener.java:89)
com.sun.jersey.spi.scanning.PathProviderScannerListener.<init>(PathProviderScannerListener.java:59)
com.sun.jersey.api.core.ScanningResourceConfig.init(ScanningResourceConfig.java:79)
com.sun.jersey.api.core.PackagesResourceConfig.init(PackagesResourceConfig.java:104)
com.sun.jersey.api.core.PackagesResourceConfig.<init>(PackagesResourceConfig.java:78)
com.sun.jersey.api.core.PackagesResourceConfig.<init>(PackagesResourceConfig.java:89)
com.sun.jersey.spi.container.servlet.WebComponent.createResourceConfig(WebComponent.java:700)
com.sun.jersey.spi.container.servlet.WebComponent.createResourceConfig(WebComponent.java:678)
com.sun.jersey.spi.container.servlet.WebComponent.init(WebComponent.java:203)
com.sun.jersey.spi.container.servlet.ServletContainer.init(ServletContainer.java:373)
com.sun.jersey.spi.container.servlet.ServletContainer.init(ServletContainer.java:556)
javax.servlet.GenericServlet.init(GenericServlet.java:158)
org.apache.tomee.catalina.OpenEJBValve.invoke(OpenEJBValve.java:45)
org.apache.catalina.authenticator.AuthenticatorBase.invoke(AuthenticatorBase.java:501)
org.apache.catalina.valves.ErrorReportValve.invoke(ErrorReportValve.java:98)
org.apache.catalina.valves.AccessLogValve.invoke(AccessLogValve.java:950)
org.apache.catalina.connector.CoyoteAdapter.service(CoyoteAdapter.java:408)
org.apache.coyote.http11.AbstractHttp11Processor.process(AbstractHttp11Processor.java:1040)
org.apache.coyote.AbstractProtocol$AbstractConnectionHandler.process(AbstractProtocol.java:607)
org.apache.tomcat.util.net.JIoEndpoint$SocketProcessor.run(JIoEndpoint.java:313)
java.util.concurrent.ThreadPoolExecutor$Worker.runTask(Unknown Source)
java.util.concurrent.ThreadPoolExecutor$Worker.run(Unknown Source)
java.lang.Thread.run(Unknown Source)

Intenté usar WebProfile y la versión JAX RS de TomEE también, pero el mismo problema.

Mis dependencias pom.xml se ven así:

<dependencies>


        <dependency>
                <groupId>org.glassfish.api</groupId>
                <artifactId>api</artifactId>
                <version>1</version>
                <type>pom</type>
        </dependency>
        <dependency>
                <groupId>org.glassfish.core</groupId>
                <artifactId>core</artifactId>
                <version>10.0-b28</version>
                <type>pom</type>
        </dependency>
        <dependency>

        <groupId>org.apache.maven</groupId>
        <artifactId>maven-project</artifactId>
        <version>3.0-alpha-2</version>
    </dependency>
    <dependency>
        <groupId>org.apache.maven</groupId>
        <artifactId>maven-plugin-api</artifactId>
        <version>3.0.4</version>
    </dependency>
    <dependency>
        <groupId>org.apache.maven</groupId>
        <artifactId>maven-artifact</artifactId>
        <version>3.0.4</version>
    </dependency>
    <dependency>
                        <groupId>com.sun.jersey</groupId>
                        <artifactId>jersey-server</artifactId>
                        <version>1.8</version>
    </dependency>

                 <dependency>
                        <groupId>com.sun.jersey</groupId>
                        <artifactId>jersey-json</artifactId>
                        <version>1.8</version>
                 </dependency>
    <dependency>
        <groupId>log4j</groupId>
        <artifactId>log4j</artifactId>
        <version>1.2.17</version>
    </dependency>
    <dependency>
    <groupId>com.fasterxml.jackson.core</groupId>
    <artifactId>jackson-core</artifactId>
    <version>2.3.0</version>
    </dependency>

<dependency>
    <groupId>com.fasterxml.jackson.core</groupId>
    <artifactId>jackson-databind</artifactId>
    <version>2.3.0</version>
</dependency>

        <dependency>
                <groupId>commons-codec</groupId>
                <artifactId>commons-codec</artifactId>
                <version>1.9</version>
        </dependency>

        <dependency>
                <groupId>com.sun.jersey</groupId>
                <artifactId>jersey-client</artifactId>
                <version>1.18.1</version>
        </dependency>

        <dependency>
                <groupId>com.sun.jersey</groupId>
                <artifactId>jersey-core</artifactId>
                <version>1.18.1</version>
        </dependency>
        <dependency>
                <groupId>asm</groupId>
                <artifactId>asm</artifactId>
                <version>20041228.180559</version>
        </dependency>
        <dependency>
                <groupId>com.sun.jersey</groupId>
                <artifactId>jersey-servlet</artifactId>
                <version>1.18.1</version>

        </dependency>
        <dependency>
            <groupId>org.apache.openejb</groupId>
            <artifactId>apache-tomee</artifactId>
            <version>1.6.0.1</version>
            <type>pom</type>
        </dependency>
   </dependencies>

¿Alguien ha enfrentado esto antes? Por favor ayuda.