Is the narration sahih that Abbad رضي الله عنه was hit by arrow three times and still did not leave salah?

I found the following hadith (not sure whether I should call this a hadith or story) : > Abbad رضي الله عنه stood up for optional salah. He became so absorbed > in recitation and salaah, that a person from the enemy in search of > Muhammad ﷺ and his followers, from a distance saw the figure of Abbad > رضي الله عنه and silently drew his bow, and fired an arrow which > embedded itself in Abbad’s رضي الله عنه flesh. Calmly, Abbad رضي الله > عنه removed the arrow and continued with his recitation, still > absorbed in his salaah. > > The attacker shot two more arrows, which also found their mark. Abbad > رضي الله عنه pulled them out and continued his recitation. Abbad رضي > الله عنه continued the prayer to its end and then woke Ammar رضي الله > عنه saying: “Get up and stand guard in my place. I have been wounded.” > Ammar stood up and seeing them both, the attacker fled into the > darkness. > > Ammar رضي الله عنه turned to Abbad رضي الله عنه saying: “Why didn’t > you wake me up when you were hit by the first arrow?” Abbad رضي الله > عنه replied: “I was reciting verses of the Qur’an which filled my soul > with awe and I did not want to cut short the recitation.” What is the reference of this hadith? Is it sahih?