According to SU(3) and the L-excitation Quark model, the Gs parity of strange mesons are evaluated. Suppose V-spin conservation, some selection rules in strong decay of resonance state of strange mesons are discussed. 相似文献
We have made an attempt to describe the octonion formulation of Abelian and non-Abelian gauge theory of dyons in terms of 2×2 Zorn vector matrix realization. As such, we have discussed the U(1)e×U(1)m Abelian gauge theory and U(1)×SU(2) electroweak gauge theory and also the SU(2)e×SU(2)m non-Abelian gauge theory in term of 2×2 Zorn vector matrix realization of split octonions. It is shown that SU(2)e characterizes the usual theory of the Yang Mill’s field (isospin or weak interactions) due to presence of electric charge while the gauge group SU(2)m may be related to the existence of ’t Hooft-Polyakov monopole in non-Abelian Gauge theory. Accordingly, we have obtained the manifestly covariant field equations and equations of motion. 相似文献
Extending the conditions which lead to natural symmetries we show that md?mu can be made positive in an SU(2)L × SU(2)R × U(1) gauge model for the weak and electromagnetic interactions. 相似文献
The generation of quark masses from weak interactions is investigated. Finite realistic values for the u- and d-quark masses are obtained in an SUL(4) × SUR(4) × U(1) gauge model. 相似文献
Necessary and sufficient conditions to the existence of a hermitian connection with totally skew-symmetric torsion and holonomy contained in SU(3) are given. A formula for the Riemannian scalar curvature is obtained. Non-compact solution to the supergravity-type I equations of motion with non-zero flux and non-constant dilaton is found in dimension 6. Non-conformally flat non-compact solutions to the supergravity-type I equations of motion with non-zero flux and non-constant dilaton are found in dimensions 7 and 8. A Riemannian metric with holonomy contained in G2 arises from our considerations and Hitchin’s flow equations, which seems to be new. Compact examples of SU(3),G2 and Spin(7) instanton satisfying the anomaly cancellation conditions are presented. 相似文献
An SU3 gauge model of weak interactions, which generates the Cabibbo suppression spontaneously and consistently, is presented. Out
of the eight currents, a triplet couples to relatively light gauge bosons and satisfies the commutation relations of the SU2-universality algebra of Gell-Mann. The other five couple to necessarily very massive gauge bosons. The leptons have a realistic
mass spectrum and the (bare) quarks are massless. The theory as it stands does not encompass charm and cannot suppress strangeness
changing neutral currents; both these deficiencies require a larger gauge group for their correction. 相似文献
Using the method of projection operators we have constructed the basis of the irreducible representation D of the exceptional Lie group G2 corresponding to the reduction of this group to the subgroup SU3. The basis is nonorthogonal but convenient for calculations. The matrices of the generators of the group G2 in this basis have been found. The problem of additional quantum number ω required for the complete labelling of the basis vectors is considered. For this purpose we introduce the operator ω which is cubic with respect to the generators of the group G2 and scalar with respect to the subgroup SU3. The matrix of this operator has been calculated in the nonorthogonal basis. This matrix has a nondegenerate spectrum of eigenvalues ω which can be used as the missing quantum number. 相似文献
A construction of grand unified models of the strong, weak and electromagnetic interactions is described based on the transformation properties of the group generators under a maximal subgroup decomposition without recourse to large representation matrices or to the specific algebraic structures of some classical Lie-groups, such as the Clifford algebra associated with the orthogonal groups or the octonionic structure of the exceptional groups. To illustrate the procedure an explicit construction is given of the SU(5) model useful in the discussion of higher rank groups, of SO(10) under the maximal subalgebras SU(2)L × SU(2)R × SU(4)c and SU(5) × U(1)r and of the exceptional group E6 under SU(3)L × SU(3)R × SU(3)c and SO(10) × U(1)t. The construction procedure can be used as well with any classical Lie-group. 相似文献
We suggest SUL(4) ? U(1) as the gauge symmetry of weak and electromagnetic interactions for quartets of quarks and leptons. We analyze how the (additional) SUL(4) weak currents (besides the SUL(2) subgroup) could affect the weak interactions of ordinary particles, the atomic parity violation, the neutral-current neutrino reactions and the decays of the τ heavy lepton and the charmed mesons. The suppression of neutral-current parity violation in atomic experiments can be naturally incorporated in this model while at the same time the success of the Weinberg-Salam model with respect to the inclusive neutral current data is kept. The model has limited freedom and therefore many definite predictions. 相似文献
A method is developed how to calculate electromagnetic transition probabilities and selection rules forSU(3)-classified wave functions. For this purpose the transition operators of electric multipole radiation are expanded inSU(3)-tensors. The calculations are explicitly carried out forE1- andE2-radiation. ForB(E2)-values in (λ,0)-bands an analytic expression is obtained independent of the special form of the interaction. The results ofSU(3)-theory are compared with those of Hartree-Fock-calculations performed by other authors. An astonishing agreement is found. 相似文献