Can quark effects be observed in intermediate heavy ion collisions?

Silva, D.T. da; Hadjimichef, Dimiter

doi:10.1088/0954-3899/30/2/016

Cited by 14 publications

(7 citation statements)

References 33 publications

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“…The index i in (14) represents the order of the expansion in powers of the wave function Φ. TheM α operator is determined up to a specific order n consistent with (15). The examples studied in [12] required the determination ofM (i) α up to order 3 as shown belowM…”

Section: Mapping Of Mesonsmentioning

confidence: 99%

Meson decay in a correctedP03model

Silva

Quadros

et al. 2008

Phys. Rev. D

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Extensively applied to both light and heavy meson decay and standing as one of the most successful strong decay models is the 3 P0 model, in which qq pair production is the dominant mechanism. The pair production can be obtained from the non-relativistic 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 in a mapping technique, the Fock-Tani formalism, in order to obtain an effective Hamiltonian starting from same microscopic interaction. An additional effect is manifest in this formalism associated to the extended nature of mesons: bound-state corrections. A corrected 3 P0 is obtained and applied, as an example, to b1 → ωπ and a1 → ρπ decays.

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Section: Mapping Of Mesonsmentioning

confidence: 99%

Meson decay in a correctedP03model

Silva

Quadros

et al. 2008

Phys. Rev. D

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show abstract

“…The index i in (14) represents the order of the expansion in powers of the wave function Φ. The Mα operator is determined up to a specific order n consistent with (15). The examples studied in [12] required the determination of M (i) α up to order 3 as shown below…”

Section: Mapping Of Mesonsmentioning

confidence: 99%

Meson decay in a corrected $3^P_0$ model

da Silva,

de Quadros

et al. 2008

Preprint

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Extensively applied to both light and heavy meson decay and standing as one of the most successful strong decay models is the 3 P0 model, in which q q pair production is the dominant mechanism. The pair production can be obtained from the non-relativistic 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 in a mapping technique, the Fock-Tani formalism, in order to obtain an effective Hamiltonian starting from same microscopic interaction. An additional effect is manifest in this formalism associated to the extended nature of mesons: bound-state corrections. A corrected 3 P0 is obtained and applied, as an example, to b1 → ωπ and a1 → ρπ decays.

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“…In this paper, we consider a mapping technique that has been used for a long time in atomic physics (Girardeau ), namely the Fock–Tani formalism, in its adapted formulation to hadron physics (Hadjimichef et al , , ; Silva & Hadjimichef ; Silva et al ) to describe hadron–hadron scattering interactions with constituent interchange.…”

Section: Introductionmentioning

confidence: 99%

Low‐energy interaction in the Fock–Tani formalism

Folador

Hadjimichef

2017

Astron Nachr

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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.

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Can quark effects be observed in intermediate heavy ion collisions?

Cited by 14 publications

References 33 publications

Meson decay in a correctedP03model

Meson decay in a correctedP03model

Meson decay in a corrected $3^P_0$ model

Low‐energy interaction in the Fock–Tani formalism

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