Unfortunately, I do not have a code example for the class com.fasterxml.jackson.databind.CoreXMLSerializers specifically. However, I can provide a general example of how to use the Jackson library to serialize and deserialize XML data in Java:

import com.fasterxml.jackson.databind.ObjectMapper;
import com.fasterxml.jackson.dataformat.xml.XmlMapper;

public class Example {
    public static void main(String[] args) throws IOException {
        // Create an instance of the XmlMapper class
        XmlMapper xmlMapper = new XmlMapper();

        // Create an instance of the object you want to serialize
        ExampleData data = new ExampleData();
        data.setName("John Doe");
        data.setAge(30);

        // Serialize the object to an XML string
        String xml = xmlMapper.writeValueAsString(data);
        System.out.println(xml);

        // Deserialize the XML string back into an object
        ExampleData deserializedData = xmlMapper.readValue(xml, ExampleData.class);
        System.out.println(deserializedData.getName()); // "John Doe"
        System.out.println(deserializedData.getAge()); // 30
    }
}

class ExampleData {
    private String name;
    private int age;

    public String getName() { return name; }
    public void setName(String name) { this.name = name; }
    public int getAge() { return age; }
    public void setAge(int age) { this.age = age; }
}

This example uses the XmlMapper class from the com.fasterxml.jackson.dataformat.xml package to handle the XML data. The XmlMapper class is a subclass of ObjectMapper, which provides the basic functionality for serializing and deserializing objects.

You can also use the com.fasterxml.jackson.databind.CoreXMLSerializers as a additional serializer for XML.

Please note that this example is very basic and you may want to customize the serialization settings for your specific use case.