Nonlinear lagrangian model of chiralSU 4 ×SU 4 symmetry breaking for the pseudoscalar mesons

Quarks Mixing in Chiral Symmetries

“…The parameters of symmetry breaking are expressed by the masses and decay constants of the mesons and they are fixed (Eq. ( 7) in [5]). In the limit of the exact SU 2 * SU 2 sub-symmetry the factors c 0 , c 8 , c 15 should satisfy the constraint (47) but it is possible only if m π ¼ 0 namely the parameters of symmetry breaking are not expressed by real (measured in experiment) masses of mesons.…”

“…The task of the Cabibbo angle calculation in SU 4 symmetry using the procedure of symmetry breaking has been done in [6]. In Ebrahim's earlier paper [5] the parameters of the SU 4 * SU 4 symmetry breaking have been found.…”

“…The hierarchy of chiral symmetry breaking [1][2][3] has been investigated since seventies of the previous century [4][5][6][7][8]. The symmetry breaking and mixing of quarks are connected with the rotation of quark currents and Hamiltonian densities.…”

“…The problem of determining the Cabibbo angle in SU 4 * SU 4 symmetry has arisen. It is considered in [5][6] and the method of calculating the Cabibbo angle in SU 4 * SU 4 symmetry is described in [7]. It is known that the formula describing the rotation angle is not changed if the symmetry is extended.…”

“…All the cases of symmetry breaking considered in [4][5][6][7][8] can be described by formula (24). Let us give simple examples: a) for k = 2, n = 3 a is the original Cabibbo angle Θ associated with rotation around the seventh axis in SU 3 subspace [4][5][6][7].…”