Which event is likely to trigger rapid growth in supermassive black hole mass?

-A merger of two gas-rich galaxies.
-Direct collisions of stellar-mass black holes in collapsing globular clusters.
-Tidal disruption of a dwarf elliptical galaxy by a large elliptical galaxy.
-A supernova in immediate vicinity of the accretion disk.

To determine which event is likely to trigger rapid growth in supermassive black hole mass, let's analyze each option:

1. A merger of two gas-rich galaxies: When two galaxies merge, their individual supermassive black holes can also merge, forming a more massive black hole. The gas from the galaxies can contribute to fueling the black hole, leading to rapid growth.

2. Direct collisions of stellar-mass black holes in collapsing globular clusters: While this event can produce gravitational waves and lead to the formation of larger black holes, it typically does not result in rapid growth in supermassive black hole mass. Stellar-mass black holes are significantly smaller than supermassive black holes, so their mergers do not provide the same growth potential.

3. Tidal disruption of a dwarf elliptical galaxy by a large elliptical galaxy: When a smaller galaxy, such as a dwarf elliptical galaxy, comes too close to a larger elliptical galaxy, the tidal forces can strip away stars and gas from the smaller galaxy. Some of this material can then fall into the supermassive black hole of the larger galaxy, resulting in an increase in mass.

4. A supernova in the immediate vicinity of the accretion disk: A supernova, the explosive death of a massive star, releases a vast amount of energy and can provide an influx of matter into the surrounding environment. If a supernova occurs near the accretion disk of a supermassive black hole, it can feed material into the black hole, causing its mass to grow rapidly.

Considering the options, the event most likely to trigger rapid growth in supermassive black hole mass is:

- A merger of two gas-rich galaxies.

When two gas-rich galaxies merge, their combined mass and the influx of gas into the central region can fuel the supermassive black hole, leading to rapid growth. This process is thought to contribute significantly to the growth of supermassive black holes throughout the universe.