On the flavor mixing by a Light-Cone Hamiltonian and the isotopic spin in QCD
نویسنده
چکیده
The structure of an effective light-cone Hamiltonian as recently derived is analyzed with emphasis on its prediction for flavor mixing in physical mesons. In a (perhaps over-simplified) model with one adjustable parameter, the empirical masses of all 25 pseudo-scalar mesons which are possible for 5 flavors are reproduced (almost) quantitatively. These results are coupled with explicit numerical estimates of flavor mixing. In the present approach, the well-known mass degeneracy of the pion triplet is caused by the mass degeneracy of the up and down quark.
منابع مشابه
On flavor mixing by an effective Light-Cone QCD-Hamiltonian
The ↑↓-model has produced the physical masses of all flavor-asymmetric mesons like the π or the ρ. Can the same model also account for the flavor-symmetric mesons like the π or the ρ? — By adjusting one parameter in a 5× 5-matrix, the π-η degeneracy is lifted and the η − η splitting falls into the right ball park. The isospin triplets for pions and rhos are caused the mass-degeneracy of the up ...
متن کاملThe role of electroweak penguin and magnetic dipole QCD penguin on hadronic b Quark Decays
This research, works with the effective Hamiltonian and the quark model. Using, the decay rates of matter-antimatter of b quark was investigated. We described the effective Hamiltonian theory which was applied to the calculation of current-current (Q1,2), QCD penguin (Q3,…,6), magnetic dipole (Q8) and electroweak penguin (Q7,…,10) decay rates. The gluonic penguin structure of hadronic decays ...
متن کاملFirst successful renormalization of a QCD-inspired Hamiltonian
Abstract The long standing problem of non perturbative renormalization of a gauge field theoretical Hamiltonian is addressed and explicitly carried out within an (effective) light-cone Hamiltonian approach to QCD. The procedure is in line with the conventional ideas: The Hamiltonian is first regulated by suitable cut-off functions, and subsequently renormalized by suitable counter terms to make...
متن کاملNew Directions in Quantum Chromodynamics∗
I review the light-cone Fock state represention and its associated light-cone factorization scheme as a method for encoding the flavor, momentum, and helicity properties of hadrons in the form of universal process-independent and frame-independent amplitudes. Discrete light-cone quantization (DLCQ) provides a matrix representation of the QCD Hamiltonian and a nonperturbative method for computin...
متن کاملGeneralized Parton Distributions in Terms of Light-cone Wave Functions
The light-cone expansion is constructed by quantizing QCD at fixed lightcone time τ = t + z and forming the invariant light-cone Hamiltonian: H LC = P +P− − P 2 ⊥ where P± = P 0 ± P . The proton state, for example, satisfies: H LC |ψp〉 = M p |ψp〉. The expansion of the proton eigensolution |ψp〉 on the color-singlet B = 1, Q = 1 eigenstates {|n〉} of the free Hamiltonian H LC (g = 0) gives the lig...
متن کامل