I assume that you mean it can be either a 3ø motor or a single phase motor but not a 3ø motor wired single phase. This does work if you can get it started but is certainly hard on the motor and clearly presents an asymmetric load to the system.For geothermal heat pumps, the motor is either to be wired as 3-phase or 1-phase connected via a safety switch. A safety switch is a switch that shuts off power if it notices the wire heating up i.e. the motor is not spinning for some reason.
Both single phase and 3ø motors will be equipped with some sort of protection against the locked rotor condition. This can be an overcurrent sensor (fuse, magnetic or thermal or combination circuit breaker) or sometimes just a thermally operated switch on the motor which opens if the motor gets too hot and can be reset manually ((typical for garbage disposal units) or automatically when it cools. 3ø motors are often equipped with single phasing detectors (one phase fails) as well.
Of course I have no idea what you actually have there but if it is a single phase motor with a starting or starting/running capacitor I'd check that. Also see if you can clean/lubricate the bearings. Circulating pumps in heating systems are usually pretty puny and often don't have the starting circuitry (they are shaded pole construction) in which case it may just be the bearings are binding.The motor that circulates hot water in my house for heating and showers is wired with a safety switch. And it's a real ***** because every time I shut off power to the house, that motor refuses to restart on it's own. I need to unmount it, stand it on a shelf and hit the fins with my finger to kick start them. Then I need to let it run like that for about 15 minutes before it will restart on it's own with the safety switch before I can remount it.