We study the energy level statistics of the SO(5) limit of super-symmetry U(6/4) in odd-A nucleus using the interacting boson-fermion model. The nearest neighbor spacing distribution (NSD) and the spectral rigidity (...We study the energy level statistics of the SO(5) limit of super-symmetry U(6/4) in odd-A nucleus using the interacting boson-fermion model. The nearest neighbor spacing distribution (NSD) and the spectral rigidity (△3)are investigated, and the factors that affect the properties of level statistics are also discussed. The results show that the boson number N is a dominant factor. If N is small, both the interaction strengths of subgroups SOB(5) and SOBF(5)and the spin play important roles in the energy level statistics, however, along with the increase of N, the statistics distribution would tend to be in Poisson form.展开更多
Recent discussions attributed fermion mass to an analogue of Weyl curvature which occurred by hypothesis when closed, spin strings swept out closed world tubes. A new degree of freedom and corresponding curvature clas...Recent discussions attributed fermion mass to an analogue of Weyl curvature which occurred by hypothesis when closed, spin strings swept out closed world tubes. A new degree of freedom and corresponding curvature class were attributed to “second order tubes” that were swept out by initially introduced closed tubes, etc. Curvature classes were associated by hypothesis with composite masses where d enoted a mass-less spin field and where a and respectively denoted an LH quark and an RH anti-lepton that were characterized by opposite I3 values and shared a common generation. The resulting model accounted for known quark masses and predicted a new quark of mass 30 GeV/c2. The composite masses form a symmetry, the preservation of which is equivalent to the conservation of electrical charge and string scale. SUGRA interactions that preserve the proposed symmetry can therefore be precisely defined. In this context, gauge transformations that establish the proposed curvature classes also associate with a second realization of the originally generated symmetry, the preservation of which is equivalent to the conservation of string length and of the curvature ?from which the postulated model generates admissible increments of large scale expansion. The latter symmetry is associated by hypothesis with the large scale structure of the observable universe, thereby motivating a theoretical approximation of the total number of galaxies. This result parallels the approximation that is indicated by observation.展开更多
文摘We study the energy level statistics of the SO(5) limit of super-symmetry U(6/4) in odd-A nucleus using the interacting boson-fermion model. The nearest neighbor spacing distribution (NSD) and the spectral rigidity (△3)are investigated, and the factors that affect the properties of level statistics are also discussed. The results show that the boson number N is a dominant factor. If N is small, both the interaction strengths of subgroups SOB(5) and SOBF(5)and the spin play important roles in the energy level statistics, however, along with the increase of N, the statistics distribution would tend to be in Poisson form.
文摘Recent discussions attributed fermion mass to an analogue of Weyl curvature which occurred by hypothesis when closed, spin strings swept out closed world tubes. A new degree of freedom and corresponding curvature class were attributed to “second order tubes” that were swept out by initially introduced closed tubes, etc. Curvature classes were associated by hypothesis with composite masses where d enoted a mass-less spin field and where a and respectively denoted an LH quark and an RH anti-lepton that were characterized by opposite I3 values and shared a common generation. The resulting model accounted for known quark masses and predicted a new quark of mass 30 GeV/c2. The composite masses form a symmetry, the preservation of which is equivalent to the conservation of electrical charge and string scale. SUGRA interactions that preserve the proposed symmetry can therefore be precisely defined. In this context, gauge transformations that establish the proposed curvature classes also associate with a second realization of the originally generated symmetry, the preservation of which is equivalent to the conservation of string length and of the curvature ?from which the postulated model generates admissible increments of large scale expansion. The latter symmetry is associated by hypothesis with the large scale structure of the observable universe, thereby motivating a theoretical approximation of the total number of galaxies. This result parallels the approximation that is indicated by observation.
