“…The addition of new decay channels in nuclear matter when the KK cloud is modified, such as φN → KY and φN → [KΛ(1405)] → KπY , already induces a substantial broadening of the φ spectral function as compared to the vacuum case, as was already shown in Refs. [29,32,33] 4 , with a considerable population of the low-energy tail (which is further enhanced at high temperatures [52]) and a practically negligible mass shift. When considering, on top of the former, the self-energy generated by the φN interaction, an overall increase of the broadening is observed whereas at the same time some structure appears in the spectral function.…”