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Abstract: In this note, a novel BCS-type formalism is constructed in the framework of aschematic QCD inspired quark model, having in mind the description of colorsymmetrical superconducting states. The physical properties of the BCS vacuumaverage numbers of quarks of different colors remain unchanged under anarbitrary color rotation. In the usual approach to color superconductivity, thepairing correlations affect only the quasi-particle states of two colors, thesingle particle states of the third color remaining unaffected by the pairingcorrelations. In the theory of color symmetrical superconductivity hereproposed, the pairing correlations affect symmetrically the quasi-particlestates of the three colors and vanishing net color-charge is automaticallyinsured. It is found that the groundstate energy of the color symmetricalsector of the Bonn model is well approximated by the average energy of thecolor symmetrical superconducting state proposed here.



Author: Henrik Bohr, João da Providência

Source: https://arxiv.org/







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