BradtheRat,
thanks for your suggestions. I checked if the rotor is forcing, there are no problems and when working there is no intelligible noise, I have to put ears very close to the body of the motor in order to hear the noise of rotation . Also the water is at correct level and pressure as well. Very strange is that: when water circulation starts early in the morning ( cold liquid) the pump runs, during the day when controller stops circulation the pump sometimes does not start again (hot liquid).
I would exclude bodies in the liquid, since, switching off and on the supply, the motor stats without any noise at all. That is because I was thinking the capacitor woul be fault ( it should be an intermittent fault), but it is a bit difficult for me to take it
off in order to measure the value. I do not know if this kind of motors could sometimes start also without capacitor connected.