Abstract

Whether the Dirac sea model is right is verifiable. Assuming the Dirac sea is a physical reality, we have one imagination that a negative energy particle(s) in the sea and a usual positive energy particle(s) will form a neutral atom. The features of the atom can be studied using the nonrelativistic reduction of the Bethe-Salpeter equation, especially for a two body system. This work is dedicated to discuss the bound state of spin-0 and spin-12\frac{\displaystyle 1}{\displaystyle 2} constituents. The study shows that an atom consisting of a negative energy particle (e−(e^- or hc)hc) and a positive energy particle (ud‾(u\overline{d} or hc)hc) has some features of a neutrino, such as spin, lepton number and oscillation. One deduction is that if the atom is a real particle, an atom XX consisting of two negative energy particles and a nucleus with double charges exists in nature, which can be observed in Strangeonium, Charmonium and Bottomonium decays [ss‾][s\overline{s}], [cc‾][c\overline{c}] and [bb‾]→Xπ−π−e+e+ + hc[b\overline{b}]\rightarrow X π^-π^- e^+e^+~+~hc with XX invisible at KLOE, CLEOc, BESIII, Belle and BaBar.

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