The theory is presented which gives for the first time the description of the Sun as a quantum object with the use of spherical exciton’s conception. The main part of results can be applied also to many other plasma objects such as stars of different type, spherical lightnings, electron-hole drops in semiconductors, etc. There are calculated the minimum number of particles needed for stability of Sun, its total luminosity, and constant of "gravitational" interaction. The latter means that, in fact, new theory of gravity is created. Also, the connection of the spherical exciton with usual hydrogen atom as two different limits in the consideration of two-particle Schredinger equation is shown.