Nucleon resonance

Question

I tried to fit low baryon resonances to N(1440) in an SU(3) octet.
So I started with
$$frac{N + Xi}{2} = frac{3 Lambda + Sigma}{4}$$
What should  the respective  $Lambda (I=0), Xi(I=frac{1}{2}), Sigma(I=1)$ be identified with?

Cosmas Zachos · Accepted Answer

The PDG resonance listing to fish from for a lowest resonance baryon octet with 1/2+ visibly suggests
N(1440) ; Λ(1600) ; Σ(1660) ;  Ξ(1690) ,
but, beware!, the cascade concluding the above list  has not had its spin-parity fully identified.
Still, slipping in a strange quark crudely raises the energy by about 100 MeV as it is expected to, and the
Gell-Mann--Okubo sum/difference you appear to be relying on (but why?), in MeVs, seems to zero out adequately,
$$
2(1440+1690) -3(1600) -1660 approx -200.
$$

Nucleon resonance

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