Abstract
In many studies of meson-baryon interactions with short one gluon exchange potential (OGEP), usually a full non-relativistic reduction, at the quark level Hamiltonian, is performed. In systems like [Formula: see text], light and heavy quarks are present, which in principle would require only a partial non-relativistic reduction. We shal start from a JKJ relativistic quark Hamiltonian and apply a partial non-relativistic reduction in order to obtain a OGEP between heavy and light quarks (heavy-light quark potential).
Highlights
1. ηcN Interaction Due to difficulties in dealing with non-perturbative aspects of QCD such as color confinement and the necessity to attent to the internal structure of hadrons to properly deal with several systems, effective quark models were developed
The information about the hadrons internal structure is transfered to an effective Hamiltonian 1–3
This formalism was shown to be equivalent, in lower orders, to the Resonating Group Method (RGM). This is an Open Access article published by World Scientific Publishing Company
Summary
In many studies of meson-baryon interactions with short one gluon exchange potential (OGEP), usually a full non-relativistic reduction, at the quark level Hamiltonian, is performed. 1. ηcN Interaction Due to difficulties in dealing with non-perturbative aspects of QCD such as color confinement and the necessity to attent to the internal structure of hadrons to properly deal with several systems, effective quark models were developed. One such approach is the Fock-Tani formalism, in which a change of representations maps the physical Hilbert space into an ideal Hilbert space, where the bound-states are represented by “ideal particles” whose elementary creation and annihilation operators obey canonical commutation relations. The information about the hadrons internal structure is transfered to an effective Hamiltonian 1–3 This formalism was shown to be equivalent, in lower orders, to the Resonating Group Method (RGM).
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