Narrated from Sayyidah Aisha (may Allah be pleased with her) that the Messenger of Allah (peace and blessings be upon him) said: "The Jews are not as jealous of anything from you as they are of your greeting of Salam and saying Ameen."
Hadith Referenceالادب المفرد / كتاب السلام / 988
Hadith Gradingالألبانی:صحيح
Hadith Takhrij«صحيح : سنن ابن ماجه ، إقامة الصلاة و السنة فيها ، ح : 856»
Explanation & Benefits
Shaykh Maulana Usman Muneeb
Benefits and Issues: ➊ In these narrations, further benefits of greeting (salam) have been mentioned. In addition to mutual love, saying salam also increases good deeds. ➋ Saying salam when leaving a gathering is just as necessary as saying salam when entering. This should also be observed with care. ➌ When initiating the greeting, it is permissible to say "as-salamu alaykum wa rahmatullahi wa barakatuh," and in response, it is not correct to add anything further from oneself. ➍ The Jews are the greatest ill-wishers of Muslims in the universe. Since both salam and amin are means of forgiveness and pardon for Muslims, it pains them that Muslims become deserving of forgiveness through such a simple act.
Source: Fadlullah al-Ahad: Urdu Commentary on al-Adab al-Mufrad, Page: 988