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

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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.

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Acknowledgements

The authors acknowledge Prof. M Saha Sarkar of Saha Institute of Nuclear Physics, Kolkata and Arkabrata Gupta of IIEST, Shibpur for their help during manuscript preparation in LaTeX.

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Correspondence to Kamales Kar or Sukhendusekhar Sarkar.

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Kar, K., Sarkar, S. The linear term in the isobaric-mass-multiplet equation for fp-shell nuclei in the framework of spectral distribution theory. Pramana - J Phys 94, 100 (2020). https://doi.org/10.1007/s12043-020-01957-2

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  • DOI: https://doi.org/10.1007/s12043-020-01957-2

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