No it is not iPad 3 or iPad HD, it has no name
We took the new iPad to be iPad HD and some as iPad 3. You will not find these two names on the Apple website. In fact, I feel they have forgotten to give a specific name for the new iPad and on the sales page, they have mentioned as “The New iPad”
Check out the screenshot which is from the Apple store website, they have mentioned the two available models as “The new iPad” and iPad 2.
What is the reason that they have not given a specific name to this release. We guessed some sensible names taking the tradition into consideration like the iPad HD, iPad 3, etc.