Gravitationally Bound Composite Neutrino Structures?

The following abstract describes a poster presentation at the Neutrino 2016 Conference that is currently in progress (July 4-9) in South Kensington, England:

Poster session 3 – Wednesday 6 July

P3.037 Gravitationally confined relativistic neutrinos

C Vayenas1,2, A Fokas3,4 and D Grigoriou1

1University of Patras, Greece, 2Division of Natural Sciences, Greece, 3University of Cambridge, UK, 4University of Southern California, USA

Combining special relativity, the equivalence principle and Newton’s universal gravitational law with gravitational rather than rest masses, one computes that gravitational interactions between relativistic neutrinos with kinetic energies above 10 MeV are very strong and can lead to formation of gravitationally confined composite structures. One may model the formation of such composite structures by considering three neutrinos moving symmetrically on a circular orbit under the influence of their gravitational attraction, and by assuming quantization of their angular momentum, as in the Bohr model of the H atom. The model contains no adjustable parameters and its solution leads to composite state radii close to 1 fm and neutrino velocities so close to c, that the corresponding Lorentz factor, gamma, values are of the order of 5*10⁹. 

It is thus found that when the neutrino rest masses are of the order of 0.05 eV/c2, then the mass, 3(gamma)m_o, of such three rotating neutrinos structures is very similar to that of hadrons (~ 1 GeV/c2). The thermodynamics of the phase condensation of neutrinos to form such structures are compared with QCD calculations for the quark-gluon condensation temperature.

Using the same approach we find that the mass of relativistic rotating Ve – e+/- pairs is 81 GeV/c2, close to that of W+/-bosons.

The W boson coincidence is particularly interesting.  Another interesting poster considers a possible gravitational source for neutrino mass.

Boya and Rivera have reviewed a number of similar theories.