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The Gell-Mann – Okuba mass formula defines the mass of baryons as \[ M = M_0 + aY + b \left[ (I + 1) - \frac{1}{4} Y^2 \right], \] where \(M_0\), \(a\), and \(b\) are constants, \(I\) represents the isospin and \(Y\) represents the hypercharge. If the mass of \(\Sigma\) hyperons is the same as that of \(\Lambda\) hyperons, then the correct option(s) is(are)
  • GATE PH - 2021
  • GATE PH
  • Nuclear and Particle Physics
  • Nuclear Physics
For a two-nucleon system in spin singlet state, the spin is represented through the Pauli matrices \( \sigma_1, \sigma_2 \) for particles 1 and 2, respectively. The value of \( \sigma_1 \cdot \sigma_2 \) (in integer) is \(\underline{\hspace{2cm}}\).
  • GATE PH - 2021
  • GATE PH
  • Nuclear and Particle Physics
  • Nuclear Physics