Fock-Tani Formalism Research Articles

Strong decays of strange quarkonia in a corrected P03 model

Extensively applied to both light and heavy meson decay and standing as one of the most successful strong decay models is the $^{3}P_{0}$ model, in which $q\bar{q}$ pair production is the dominant mechanism. In this paper we evaluate strong decay amplitudes and partial widths of strange $S$ and $D$ state mesons, namely $ \phi(1020)$, $\phi (1680) $, $ \phi (2050) $, $\phi_1 (1850) $, $\phi_2 (1850) $ and $ \phi_3 (1850) $, in the bound-state corrected $^{3}P_{0}$ decay model (C$^{3}P_{0}$). The C$^{3}P_{0}$ model is obtained in the context of the Fock-Tani formalism, which is a mapping technique.

Low‐energy interaction in the Fock–Tani formalism

The Fock–Tani formalism is a first-principles method to obtain effective interactions from microscopic Hamiltonians. Originally derived for meson–meson or baryon–baryon scattering, we present in this paper a brief introduction to the Fock–Tani formalism and formulate the meson–baryon potential, with the scattering and annihilation parts explicitly taken into account, and the corresponding diagrams. Finally, we present the differential and total cross-section calculations that will be used, in the near future, in the description of kaon–nucleon interactions.

Low Energy KN Interaction in the Fock-Tani Formalism

The Fock-Tani formalism is a first principle method to obtain effective interactions from microscopic Hamiltonian. Originally derived for meson-meson or baryon-baryon scattering, we present the corresponding equations for meson-baryon scattering. In particular we shall obtain the low energy cross sections for the [Formula: see text] channel.

Bound State Correction in CP Violation

We study hadronic weak decays using an approach which consists in a mapping technique, the Fock-Tani formalism, in order to obtain an effective weak Hamiltonian starting from a contact microscopic interaction. An additional effect is manifest in this formalism associated to the extended nature of mesons: bound-state corrections which can be related to CP violation parameters.

GLUEBALL-GLUEBALL POTENTIAL IN A CONSTITUENT GLUON MODEL

In this work we use a mapping technique to derive in the context of a constituent gluon model an effective Hamiltonian that involves explicit gluon degrees of freedom. We study glueballs with two gluons using the Fock-Tani formalism. In the present work we calculate the glueball-glueball potential, in the context of the constituent gluon model, with gluon interchange.

DECAY PROCESS OF THE CHARMED MESON $D_{2}^{\ast}\,(2460)$ IN THE C3P0 Model

The Fock-Tani formalism is a successful mapping technique that has been used in hadron physics to describe hadron interaction and decay. In this one can obtain the 3P0 model with bound state corrections. In this work we applay this technique for [Formula: see text] decay, where the amplitude and its respective decay rates are evaluated.

LIGHT MESON DECAY IN THE ${\rm C}\,{}^{3}\!P_{0}$ MODEL

Having its origin in a successful mapping technique, the Fock–Tani formalism, the corrected [Formula: see text] model [Formula: see text] retains the basic aspects of the [Formula: see text] predictions with the inclusion of bound-state corrections. Evaluation of the decay amplitudes has been performed for open-flavor strong decays in the light meson sector. The bound-state corrections introduce a fine-tuning for the former [Formula: see text] model, in particular, the adjustment of the D/S ratios in b1→ωπ, a1→ρπ and h1→ρπ decays.

GLUEBALL-QUARKONIA MIXTURE IN THE f0(1710) DECAY

In this work, we use a mapping technique, the Fock–Tani formalism, in order to obtain an effective Hamiltonian starting from microscopic interaction. An additional effect is manifest in this formalism associated to the extended nature of mesons: bound-state corrections. In this approach we evaluate a glueball-quarkonia mixture decay, and as an example, the f0(1710) → ωω decay, shall be considered in this context.

C3P0 MODEL FOR CHARMED MESONS DECAY

The successful mapping technique, Fock–Tani formalism, has produced a corrected 3P0 model ( C 3P0 model), which retains the basic aspects of the 3P0 predictions with the inclusion of bound-state corrections. The model is applied for charmed mesons decay. The amplitude and its respective decay rates are evaluated.

STRANGE MESON DECAY IN THE C3P0 MODEL

The successful mapping technique (Fock–Tani formalism) has produced a corrected 3P0 model ( C 3P0 model), which retains the basic aspects of the 3P0 predictions with the inclusion of bound-state corrections. In this work we have evaluated the decay amplitude of a strange quarkonia candidate, namely ϕ(1020). A comparison is made with the non-corrected model.

Meson decay in a correctedP03model

The {sup 3}P{sub 0} model, in which qq pair production is the dominant mechanism, is extensively applied to both light and heavy meson decay and stands as one of the most successful strong decay models. The pair production can be obtained from the nonrelativistic limit of a microscopic interaction Hamiltonian involving Dirac quark fields. The evaluation of the decay amplitude can be performed by a diagrammatic technique for drawing quark lines. In this paper we use an alternative approach which consists of a mapping technique, the Fock-Tani formalism, in order to obtain an effective Hamiltonian starting from the same microscopic interaction. An additional effect is manifested in this formalism associated to the extended nature of mesons: bound-state corrections. A corrected {sup 3}P{sub 0} is obtained and applied, as an example, to b{sub 1}{yields}{omega}{pi} and a{sub 1}{yields}{rho}{pi} decays.

F0(1370) decay in the Fock-Tani formalism

We investigate the two-meson decay modes for f0(1370). In this calculation we consider this resonance as a glueball. The Fock-Tani formalism is introduced to calculate the decay width.

F0(1710) DECAY IN THE FOCK–TANI FORMALISM

We investigate the two-meson decay modes for f0(1710). In this calculation, we consider this resonance as a glueball. The Fock–Tani formalism is introduced to calculate the decay width.

MESON DECAY IN THE FOCK–TANI FORMALISM

The Fock–Tani formalism is a first principle method to obtain effective interactions from microscopic Hamiltonians. Usually this formalism has been applied to scattering; here we introduce it to calculate partial decay widths for mesons.

A NEW SIGNATURE FOR GLUEBALLS

In this work we use a mapping technique to derive in the context of a constituent gluon model an effective Hamiltonian that involves explicit gluon degrees of freedom. We study glueballs with two gluons using the Fock–Tani formalism.