Are superheavy stable quark clusters viable candidates for the dark matter?

Abstract

The explanation for the origin of families of quarks and leptons and their properties is one of the most promising ways to understand the assumptions of the Standard Model. The Spin-Charge-Family theory [N. S. M. Borštnik, Phys. Lett. B 292 (1992) 25; J. Math. Phys. 34 (1993) 3731; Int. J. Theor. Phys. 40 (2001) 315; Mod. Phys. Lett. A 10 (1995) 587; J. Modern Phys. 4 (2013) 823; arXiv:1312.15; Phys. Rev. D 91 (2015) 065004; [arXiv:1409.7791; arXiv:1312.1542; arXiv:1502.06786v1, http://arXiv.org/abs/1409.4981 ; A. Borštnik and N. S. M. Borštnik, Phys. Rev. D 74 (2006) 073013, arXiv:hep-ph/0512062, arXiv:hep-ph/0401043, arXiv:hep-ph/0401055, arXiv:hep-ph/0301029; G. Bregar and N. S. M. Borštnik, arXiv:1412.5866; G. Bregar et al., New J. Phys. 10 (2008) 093002; G. Bregar and N. S. M. Borštnik, arXiv:1502.06786v1, arXiv:1412.5866; N. S. M. Borštnik, Proc. 13th Workshop “What Comes Beyond the Standard Models”, Bled, 12–22 July 2010, eds. N. S. M. Borštnik et al., DMFA Založništvo, Ljubljana, December 2010, pp. 105–129], which does propose the mechanism for the appearance of families and offers an explanation for all the assumptions of the Standard Model, predicts two decoupled groups of four families. The lightest of the upper four families has stable members, which are correspondingly candidates to constitute the dark matter [G. Bregar and N. S. M. Borštnik, Phys. Rev. D 80 (2009) 083534, arXiv:1412.5866]. In this paper, we study the weak and the “nuclear” (determined by the color interaction among the heavy fifth family quarks) scattering of such a very heavy baryon by ordinary nucleons in order to show that the cross-section is very small and consistent with the observation in most experiments so far, provided that the quark mass of this baryon is about 100[Formula: see text]TeV or above.