N.H. Rev. Stat. Ann. § 560:19

If, at the time of the death of either husband or wife, the decedent was justifiably living apart from the surviving husband or wife because such survivor was or had been guilty of conduct which constitutes cause for divorce, such guilty survivor shall not be entitled to any interest or portion in the real or personal estate of said decedent, except such as may be given to such survivor by the will of the deceased.