Anne was also charged with conspiring the kings death and as a traitor she could have been put to death for that alone.  Henry needed her out of the way totally, probably in his own mind he saw his second marriage as going exactly the same way as his first and as Anne had no powerful foreign allies as Katherine of Aragon did she was easier to get rid of.  In order to produce a legitimate son for the succession he needed a clean break from absolutely everything that went before so afterwards Anne was pretty much airbrushed from history and Elizabeth declared a bastard with no rights to inherit the throne.

Oddly enough I don't think that what he did to Anne was because he never loved her, I think he had loved her passionately but she failed to give him the one thing he wanted even more than he wanted Anne – and his passion was turned against her.

Forgot to say that Anne was not the first royal woman to be put to death for alleged indiscretions nor was she, unfortunately, the last.  If you want to try and get inside Henrys head in his behaviour towards his wives its worthwhile taking into account the attitudes towards women in general at that time.  We women were sometimes nothing more than goods to be bought, sold, abused or discarded as our male relatives saw fit.

Thank goodness some things have changed!

Perhaps love is the wrong word. 

It seems Henry became obsessed with Anne, perhaps because she didn't give in to him.  What he couldn't have became more and more desirable, so he moved heaven and earth to possess her.  After a wait of several years, the political and religious things he had had to do to get to the point where she was his, perhaps the “possession” of her did not live up to expectations.

If she had given him a son, that may not have mattered.  But she didn't.  They tried again, but the child was stillborn.  So he had to get rid of her.  He probably spoke of this to his closest people and this probably encouraged Cromwell et al to proceed.

Whatever we think of his motives, Henry could have saved her.  He chose not to.  However, because she had been his obsession, thoughts of her probably haunted him all his life.