Language:
كتاب الذبائح والصيد
72  
Hunting, Slaughtering
(8)
Chapter: If the hunter hits a game but does not catch it till two or three days
(8)
باب الصَّيْدِ إِذَا غَابَ عَنْهُ يَوْمَيْنِ أَوْ ثَلاَثَةً
Sahih al-Bukhari 5485
And it has also been narrated by `Adi bin Hatim that he asked the Prophet (ﷺ) "If a hunter throws an arrow at the game and after tracing it for two or three days he finds it dead but still bearing his arrow, (can he eat of it)?" The Prophet (ﷺ) replied, "He can eat if he wishes."
وَقَالَ عَبْدُ الأَعْلَى عَنْ دَاوُدَ، عَنْ عَامِرٍ، عَنْ عَدِيٍّ، أَنَّهُ قَالَ لِلنَّبِيِّ صلى الله عليه وسلم، يَرْمِي الصَّيْدَ فَيَقْتَفِرُ أَثَرَهُ الْيَوْمَيْنِ وَالثَّلاَثَةَ، ثُمَّ يَجِدُهُ مَيِّتًا وَفِيهِ سَهْمُهُ قَالَ ‏ "‏ يَأْكُلُ إِنْ شَاءَ ‏"‏‏.‏
Reference : Sahih al-Bukhari 5485
In-book reference : Book 72, Hadith 11
USC-MSA web (English) reference : Vol. 7, Book 67, Hadith 393
  (deprecated numbering scheme)