8 research outputs found
The Higgs mass derived from the U(3) Lie group
The Higgs mass value is derived from a Hamiltonian on the Lie group U(3)
where we relate strong and electroweak energy scales. The baryon states of
nucleon and delta resonances originate in specific Bloch wave degrees of
freedom coupled to a Higgs mechanism which also gives rise to the usual gauge
boson masses. The derived Higgs mass is around 125 GeV. From the same
Hamiltonian we derive the relative neutron to proton mass ratio and the N and
Delta mass spectra. All compare rather well with the experimental values. We
predict scarce neutral flavor baryon singlets that should be visible in
scattering cross sections for negative pions on protons, in photoproduction on
neutrons, in neutron diffraction dissociation experiments and in invariant mass
spectra of protons and negative pions in B-decays. The fundamental predictions
are based on just one length scale and the fine structure constant. More
particular predictions rely also on the weak mixing angle and the up-down quark
flavor mixing matrix element. With differential forms on the measure-scaled
wavefunction, we could generate approximate parton distribution functions for
the u and d valence quarks of the proton that compare well with established
experimental analysis.Comment: 18 pages, 13 figures, 3 table
Density functional theory based screening of ternary alkali-transition metal borohydrides: A computational material design project
The dissociation of molecules, even the most simple hydrogen molecule, cannot be described accurately within density functional theory because none of the currently available functionals accounts for strong on-site correlation. This problem led to a discussion of properties that the local Kohn-Sham potential has to satisfy in order to correctly describe strongly correlated systems. We derive an analytic expression for the nontrivial form of the Kohn-Sham potential in between the two fragments for the dissociation of a single bond. We show that the numerical calculations for a one-dimensional two-electron model system indeed approach and reach this limit. It is shown that the functional form of the potential is universal, i.e., independent of the details of the two fragments.We acknowledge funding by the Spanish MEC (Grant No. FIS2007-65702-C02-01), “Grupos Consolidados UPV/EHU del Gobierno Vasco” (Grant No. IT-319-07), and the European Community through e-I3 ETSF project (Grant Agreement No. 211956).Peer reviewe