If most of the universe is made of baryons, we encounter a serious contradiction in explaining the observed structure formulation. Therefore, we need non-baryonic dark matter to comprise the universe. In a previous pa...If most of the universe is made of baryons, we encounter a serious contradiction in explaining the observed structure formulation. Therefore, we need non-baryonic dark matter to comprise the universe. In a previous paper, the present author proposed an infinite sub-layer quark model in which there exists an infinite number of up quark <i>q<sub>u</sub></i> (∞) and down quark <i>q<sub>d</sub></i> (∞) at an infinite sub-layer level. These quarks have non-baryon quantum number with one-half electric charge. Thus, <i>q<sub>u</sub></i> (∞) and <i>q<sub>d</sub></i> (∞) quarks are candidates for the non-baryonic dark matter. It is then shown that CP is violated only in the doublet of <i>q<sub>u</sub></i> (∞) and <i>q<sub>d</sub></i> (∞) quarks to account for the asymmetry of the number of particles and anti-particles in the present universe. It should be emphasized that if the internal space of <i>q<sub>u</sub></i> (∞) and <i>q<sub>d</sub></i> (∞) quarks in the first generation is a noncommutative geometry, CP violation can be explained without increasing the number of particles and generations. Thus, a pair of an infinite number of <i>q<sub>u</sub></i> (∞) and <i>q<sub>d</sub></i> (∞) quarks would be produced in the first moments after the Big Bang and form the hadrons including the nucleons and remain as the non-baryonic cold dark matter for all time. From the <i>q<sub>f</sub></i> (∞) quarks with the flavors <i>f</i> = <i>u</i>, <i>d</i>, <i>s</i>, <i>c</i>, <i>t</i>, and <i>b</i>, we compared our prediction value of the cross-section ratio <i>R</i> with the experimental values. We obtained the theoretical branching ratio <i>R</i> = 15/4 = 3.75 which is in good agreement with the experimental values from 12.00 GeV to 46.47 GeV in electron-positron annihilation into muon pairs and quark pairs.展开更多
文摘If most of the universe is made of baryons, we encounter a serious contradiction in explaining the observed structure formulation. Therefore, we need non-baryonic dark matter to comprise the universe. In a previous paper, the present author proposed an infinite sub-layer quark model in which there exists an infinite number of up quark <i>q<sub>u</sub></i> (∞) and down quark <i>q<sub>d</sub></i> (∞) at an infinite sub-layer level. These quarks have non-baryon quantum number with one-half electric charge. Thus, <i>q<sub>u</sub></i> (∞) and <i>q<sub>d</sub></i> (∞) quarks are candidates for the non-baryonic dark matter. It is then shown that CP is violated only in the doublet of <i>q<sub>u</sub></i> (∞) and <i>q<sub>d</sub></i> (∞) quarks to account for the asymmetry of the number of particles and anti-particles in the present universe. It should be emphasized that if the internal space of <i>q<sub>u</sub></i> (∞) and <i>q<sub>d</sub></i> (∞) quarks in the first generation is a noncommutative geometry, CP violation can be explained without increasing the number of particles and generations. Thus, a pair of an infinite number of <i>q<sub>u</sub></i> (∞) and <i>q<sub>d</sub></i> (∞) quarks would be produced in the first moments after the Big Bang and form the hadrons including the nucleons and remain as the non-baryonic cold dark matter for all time. From the <i>q<sub>f</sub></i> (∞) quarks with the flavors <i>f</i> = <i>u</i>, <i>d</i>, <i>s</i>, <i>c</i>, <i>t</i>, and <i>b</i>, we compared our prediction value of the cross-section ratio <i>R</i> with the experimental values. We obtained the theoretical branching ratio <i>R</i> = 15/4 = 3.75 which is in good agreement with the experimental values from 12.00 GeV to 46.47 GeV in electron-positron annihilation into muon pairs and quark pairs.
