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Basic

Chiral Quark Cluster Model This model studies the strong interaction between hadrons from a more microscopic point of view.

Nowadays almost no one doubts the fact that hadrons are composite particles made up of Quarks. Although this quarks have never been seen directly a complete theory of their interactions have also been developed during the last 20 years, the so-called Quantum Chromodynamics(QCD).

QCD is a quantum field theory that describes quarks as fermionic fields coupled to some gauge fields called gluons, both quarks and gluons share a property called color which is assumed to be an exact simmetry of the lagrangian. The complete lagrangian of QCD is of extraordinay complexity if one pretends to solve it in the low energy regime. In the high energy regime a standard feynman treatment of the theory can be done as the coupling constant is small enough to perform a perturbative study of the theory. On the other hand for the low energy regime(the one of interest in nuclear physics) the coupling constant has been proved to diverge so no perturbative approach can be done in a reliable way.

There is where Constituent Quarks play their role. Several models have been proposed to avoid solving QCD lagrangian and been able to draw some conclusions about low energy observables form a more microscopic point of view. One of the is CQCM.

The main ingredients of CQCM are:

- Constituent Quarks, whose masses are of the order of 1/3 of the mass of the Nucleon.

- Some by hand confinement, which is usually a confining potential that guarantees that quarks are confined to a certain region.

- One Gluon Exchange Potential, is the non-relativistic configuration space derivation of the One Gluon exchange in a perturbative approach.

- Goldstone Modes Exchange, these are usually a scalar as well as an isoscalar interactions coming from the spontaneous breaking of chiral simmetry.


Bibliography

  • F. Fernandez, A. Valcarce, U. Straub, and A. Faessler , J. Phys. G. 19, 2013 (1993)
  • A. de Rujula, H. Georgi, and S. L. Glashow, Phys. Rev. D12 ,147 (1975)


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