Abstract

The second flavor of hydrogen atoms (SFHA) refers to the kind of hydrogen atoms that have only the states of the zero orbital angular momentum (the S-states), both in the discrete and continuous spectra. They were first discovered theoretically in one of my earlier papers, where a proof of their existence was also provided by analyzing atomic experiments concerning the high-energy tail of the linear momentum distribution in the ground state of hydrogen atoms. From a theoretical point of view, the discovery was based on the standard Dirac equation for hydrogen atoms without changing the existing physical laws. Recently, the existence of the SFHA was seemingly also confirmed by two types of astrophysical observations: the allowance for the SFHA explained the puzzling results concerning both the anomalous absorption of the redshifted 21 cm spectral line from the early Universe, and the observations by the Dark Energy Survey (DES) team where it was found that the distribution of dark matter in the Universe is noticeably smoother than predictions employing Einstein’s relativity. In the present review, we exhibit results from two recent papers where attention was brought to a visible difference in the cross-sections of the resonant charge exchange for collisions of the SFHA with incoming protons, compared to collisions of the usual hydrogen atoms with incoming protons. It was shown that, after taking into account the SFHA, there is a better agreement with the corresponding experimental cross-section. Coupled with the previous evidence of the existence of the SFHA, deduced from the analysis of the other kind of atomic experiments, and evidenced by two different kinds of astrophysical observations, this strengthens the standing of the SFHA as the most probable candidate for all or a part of dark matter.

Highlights

  • The second flavor of hydrogen atoms (SFHA) refers to the kind of hydrogen atoms that have only the states of the zero orbital angular momentum, both in the discrete and continuous spectra. They were first discovered theoretically in [1], where proof of their existence was provided by analyzing atomic experiments concerning the high-energy tail of the linear momentum distribution in the ground state of hydrogen atoms

  • In [1], it was shown that with the allowance for the finite size of the nucleus and for the known distribution of the electric potential inside the nucleus, it is possible to tailor the wave function inside the proton with the singular wave function outside the proton for the ground state of hydrogen atoms, so that there was no reason to reject the singular solution of the standard Dirac equation outside the proton

  • Conclusions gen atoms with incoming protons compared to collisions of second flavour hydrogen atoms (SFHA)

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Summary

Introduction

The second flavor of hydrogen atoms (SFHA) refers to the kind of hydrogen atoms that have only the states of the zero orbital angular momentum (the S-states), both in the discrete and continuous spectra. The regular wave function describing the ground state of the usual hydrogen atoms and the singular wave function describing the ground state of the other kind of hydrogen atoms correspond to the same energy and have the same quantum numbers N = 0, k = −1, j = 1/2 (resulting from the solution of the Dirac equation) In other words, they have the same values of the known conserved quantities the energy E, the square of the total angular momentum J2 , and K (where the operator K = β(2Ls + 1), β being the Dirac matrix of the rank four and Ls denoting the scalar product of the operators of the orbital angular momentum and spin). I exhibit the results of [6,14]

Resonant Charge Exchange Involving the Second Flavor of Hydrogen Atoms
Experiments
Experimental
Conclusions
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