How can a person produce four witnesses to testify to his wife committing adultery if he cannot find any witnesses, and is this matter psychologically acceptable?

Adultery is proven by four witnesses. The husband has a special privilege; if he accuses his wife of adultery and no one else admits to it, he may invoke the لعان (oath of condemnation) if she does not confess, and this is what Allah has prescribed for the husband. It should be noted that jealousy does not permit the jealous person what is forbidden to him, and one must submit to the rulings of Allah and His Messenger.