They received life sentences with a minimum non-parole period of 18 years.
Both men appealed against their conviction and sentence to the Court of Appeal last October, but their appeals were dismissed.
Pandey-Johnson then appealed to the same court to have the judgement recalled.
A Court of Appeal judgement released today said one of the grounds of his appeal was the Crown had failed to prove causation of Mr Browne's death and there was a reasonable possibility the victim had died as a result of the morphine rather than the hammer blows.
However, Justices Terence Arnold, Pamela Andrews and Robert Dobson said they were satisfied there were no "exceptional circumstances" warranting the case to be reopened.
They dismissed Pandey-Johnson's application to have the judgement recalled.