Simple mass estimates for resonance(s) being 6 top + 6 antitop bound states and combinations thereof

Abstract

We have long speculated [50,51,52,53,54,55,56,57,58,59,60,61,62,63,2] , that 6 top + 6 anti-top quarks due to the realtively large size of the top-yukawa coupling would bind exceptionaly strongly by mainly Higgs exchange. Here we present a surprisingly simple "calculation" of the mass of this speculated bound state. Even a possible resonance in scattering of two such bound states is speculated. For the "calculation" of the masses it is crucial to assume, that our since long speculated principle "Multiple Point Principle" [5,6,7,8,9,10,11,12,13,14,15,16,17,18], is true. This principle says: there are several vacua all having almost zero energy density. Further we make an approximation of the Higgs Yukawa potential essentially replacing the exponential in it by a step-function. The new result means that there are now two independent calls for our bound state having the mass around 750 GeV required by our "new law of nature" the Multiple Point Principle. It should be remarked that in our picture there is no new physics in the sense of new fundamental particles, but the "Multiple Point Principle" is new in the sense of being not yet accepted. Further we get the same mass within uncertainties as earlier[2] but now from a completly different assumption, except for being from our "multiple point principle". But the two masses are gotten from using different (speculative) vacua occuring in the pure Standard Model.

F(750), we miss you as bound state of 6 top and 6 antitop

“…Further it fits very well with my earlier simple calculation [9], which gave a mass of 4m t = 692GeV and which were based on assuming the "condensate vacuum" being degenerate with the "present" vacuum.…”

“…The greatest importance of this estimate is, that it remarkably coincides with two earlier calculations based on the assumption, that two speculated vacua potentially existing in pure Standard Model should have degenerate energy densities(= cosmologogical constants). In fact the present author recently found [9] based on a type of calculation first developped in the work with C.D. Froggatt [39] that the mass of the bound state needed for the degeneracy of the speculated phase with a condensate or at least a higher concentration of these bound states with the present vacuum were m f rom "condensate ′′ vacuum = 12m t 3 = 4m t = 692GeV.…”

“…Thus by a rather round about way Froggatt and I obtained a mass prediction 285 GeV for the bound state [39]. More directly but basically by the same method I estimate [9] a mass of 4m t = 690GeV from this requirement that the "condensate" vacuum be degenerate with the 'present" one. Also with Das and Laperashvili [8] we estimated a rather small correction to the Higgs mass, that should correspond to the second minimum in the Higgs field effective potential -what we called "high field"vacuum -should just touch zero, which is equivalent to the "high field" vacuum having zero(small) energy density.…”

“…We have long worked on the speculation, that six top and six anti top quarks due to mainly the rather large value of the top-yukawa coupling g t and thus to Higgs boson exchange gets bound so strongly to each other, that a bound state with a mass appreciably lower than the sum of the masses of 12 top-quaks is formed [9,69,70,71,72,74,75,76,77,78,79,80,81,82,83,8,6]. In the present article we shall put forward an attempt to estimate the mass of this bound state by setting up a kind of bag-model ansatz for the bund state system.…”

F(750), We Miss You as a Bound State of 6 Top and 6 Antitop Quarks, Multiple Point Principle

“…the Standard Model). In realizing the picture, which we suggest in connection with this new law of nature, we further need to have that there exists an extremely strongly bound state [21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36] of six top plus six antitop quarks, and thus our main points are:…”