Experiment for gravitational mass defect

Question

I have read these questions:

Gravitational mass defect

https://physics.stackexchange.com/a/60806/132371

And it made me curious. None of these answer my question.

The mass of an object is the same as the energy the object possesses at rest. Mass and rest energy are the same convertible thing, E=mc^2. The mass of an atomic nucleus is less then the mass of its constituents, and this missing mass is the mass defect, which is equivalent to the energy needed to separate the protons and neutrons from a nucleus. This is because of the strong force and the residual strong force, the nuclear force.

In the case of the strong force, the carrier, the gluon is massless. In the case of the residual strong force, nuclear force, the carrier, the pion does have rest mass.

Now in the case of gravity, there could be the same mass defect, but the mass of the graviton is not decided yet, it should be massless because of the long range of the gravitational force.

I do not know if there has been any experiment about the mass defect of the gravitational force, but could it decide whether gravitons should have mass?

Question:

1. Has there been any experiment to prove or disprove the mass defect effect of gravity?

2. If there is a mass defect, could that decide whether the graviton should be massless?

Answer 1

The first LIGO observation is interpreted as the gravitational wave of a black hole merger of 29 and 36 solar masses, resulting in a single black hole of 62 solar masses. This constitutes an example of gravitational mass defect.

Answer 2

Now in the case of gravity, there could be the same mass defect, but the mass of the graviton is not decided yet, it should be massless because of the long range of the gravitational force.

You are confusing the binding energy due to the electromagnetic and strong interactions with the possible binding energy due to the gravitational potential of the nucleons in the nucleus and the electrons with the nucleons to form atoms. Certainly the nucleons are not bound by the gravitational force, and if it is quantized, it will be only an infinitesimally small perturbation on the main potentials binding the nuclei and atoms. Look at the orders of magnitude difference in the coupling constants, not something measurable, not even for bounds.

The answer of my2cts gives a good example of the mass defect in classical general relativity.

Answer 3

Please read the papers

1. Reason behind gravitational energy by somnath chakraborty 2.Mass defect of electron mass due to gravitational interaction and redshift of sodium d line by somnath chakraborty. In these two papers it is clear that there are some mass defect of a particle in gravitational force field and mass defect increase with gravitational interaction.