![3 quark 3 quark](https://i.natgeofe.com/n/d7b99489-4914-4103-ad9d-a38d6dabfd5d/topquark1_square.gif)
Murray Gell-Mann (right) and Harald Fritzsch. However, the experiments at SLAC found that the cross-sections at large energies depend only on the ratio of the photon mass and the energy transfer – they showed a scaling behaviour, which had been predicted by James Bjorken. The cross-sections depend on the mass of the virtual photon and the energy transfer.
![3 quark 3 quark](https://www.maplesoft.com/support/help/content/1118/image76.png)
In the autumn we studied the results from SLAC on the deep-inelastic scattering of electrons and atomic nuclei. In the summer of 1970, I spent some time at the Aspen Center of Physics, where I met Gell-Mann and we started working together. This explains the mass differences inside the baryon octet, the baryon decuplet and the meson octet. The mass of the strange quark is larger than the masses of the two non-strange quarks. In the quark model, the breaking of the SU(3)-symmetry can be arranged by the mass term for the quarks. The eight mesons are bound states of a quark and an antiquark. The Ω – is a bound state of three s quarks: sss. The Ξ hyperons are the bound states uss and dss. The three Σ hyperons contain one s quark and two u or two d quarks (uus or dds). The Λ hyperon has the internal structure uds. Inside the neutron are two d quarks and one u quark (ddu). The proton is a bound state of two u quarks and one d quark (uud).
![3 quark 3 quark](https://tnuvausa.com/wp-content/uploads/2017/07/quark-three-persent1.png)
Since the quarks form an SU(3) triplet, there must be three quarks: a u quark (charge 2/3), a d quark (charge –1/3) and an s quark (charge –1/3). Gell-Mann called the triplet particles “quarks”, using a word that had been introduced by James Joyce in his novel Finnegans Wake. In 1964, Gell-Mann and Feynman’s PhD student George Zweig, who was working at CERN, proposed that the baryons and mesons are bound states of the hypothetical triplet particles (Gell-Mann 1964, Zweig 1964). These particles would have non-integral electric charges: 2/3 or –1/3.
![3 quark 3 quark](https://cerncourier.com/wp-content/uploads/2012/09/CCqcd1_08_12.jpg)
It was not clear at the time why the members of the simplest SU(3) representation, the triplet representation, were not observed in experiments. Thus the baryon resonances were members of an SU(3) decuplet. It was observed in 1964 at the Brookhaven National Laboratory by Nicholas Samios and his group. They predicted that this particle, the Ω –, should soon be discovered with a mass of around 1680 MeV. Gell-Mann and Ne’eman suggested that they should be described by an SU(3)-decuplet but one particle was missing. These resonances could not be members of an octet. In 1961, nine baryon resonances were known, including the four Δ resonances. The members of the meson octet are the three pions, the η meson, the two K mesons and the two K mesons. The baryon octet contains the two nucleons, the three Σ hyperons, the Λ hyperon and the two Ξ hyperons (see figure 1). The baryons are octets and decuplets, the mesons are octets and singlets. The observed hadrons are members of specific representations of SU(3). SU(3)-symmetry is an extension of isospin symmetry, which was introduced in 1932 by Werner Heisenberg and is described by the group SU(2). Murray Gell-Mann and Yuval Ne’eman succeeded in describing the new particles in a symmetry scheme based on the group SU(3), the group of unitary 3 × 3 matrices with determinant 1 (Gell-Mann 1962, Ne’eman 1961). The hyperons and K mesons were discovered in cosmic-ray experiments. The Δ resonances, with a mass of about 1230 MeV, were observed in pion–nucleon collisions at what was then the Radiation Laboratory in Berkeley. SU(3) octet of the ground-state baryons.Ībout 60 years ago, many new particles were discovered, in particular the four Δ resonances, the six hyperons and the four K mesons. Harald Fritzsch, one of the pioneers of quantum chromodynamics, recalls some of the background to the development of the theory 40 years ago.