• The linear term in the isobaric-mass-multiplet equation for $fp$-shell nuclei in the framework of spectral distribution theory

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    • Keywords


      Isospin non-conservation; $fp$ shell; spectral distribution theory.

    • Abstract


      The one- plus two-body isospin non-conserving nuclear interactions, namely the isovector and isotensor ones, are included in the prediction of the energies of the ground state and the low-lying states of the $fp$ shell nuclei using spectral distribution theory. This in turn is used to calculate the linear term in the isobaric mass-multiplet equation and the predictions are then compared with experimental values after the addition of the Coulomb contribution. The agreement is found to be good as observed for $sd$ shell nuclei earlier. One also sees that in this method the contribution to the linear term comes almost completely from the one-body isovector Hamiltonian, resulting in a huge simplification of the problem.

    • Author Affiliations



      1. Ramakrishna Mission Vivekananda Educational and Research Institute, Belur Math, Howrah 711 202, India
      2. Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711 103, India
    • Dates

  • Pramana – Journal of Physics | News

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