Hann fell to 18th in the world rankings before the commencement of the &lt;a href="2004%E2%80%9305%20snooker%20season"&gt;2004/2005 season&lt;/a&gt;. He reached the quarter finals of the 2004 World 8-Ball Championship and lost 6–9 to Darren Appleton. Hann withdrew from the 2005 Malta Cup because he had a fractured finger. The 2005 World Championship saw Hann forced to play with a new cue after his original cue was lost after the China Open earlier that year. The original cue was eventually retrieved just before the World Championship but was found to be damaged and unusable. Having borrowed a friend's cue, he decided against practising, and went out drinking. He played his first round match against Peter Ebdon hungover, and lost 2–10. Hann ended the season 22nd in the world rankings.