There are no native opensource Java OCR SDKs.
There are Java APIs which wrap calls for native interfaces, for example, for one of the most popular opensource OCR engines - Tesseract (http://groups.google.com/group/tesseract-ocr/) - there are some Java wrappers like tesjeract (http://code.google.com/p/tesjeract/) or Tess4J (http://tess4j.sf.net/). That could work for you, but it's rather hard to set up and will require developing image-preprocessing and font training on your side.

One more solution could be a cloud service. It requires end-user application to have the internet connection, but it's independent from your programming language choice and resources limitations. Have a look at ABBYY Cloud OCR SDK (http://www.ocrsdk.com), it's a cloud-based OCR SDK recently launched by ABBYY. It's in beta, so for now it's totally free to use and it has a ready-to-go Java code samples (https://github.com/abbyysdk/ocrsdk.com/tree/master/Java).