Abstract

Isobaric analogue states (IAS) can be used to study the charge independence of the nuclear force via first order perturbation theory. In this case the IAS multiplet masses are expected to follow a quadratic form as described by the Isobaric Multiplet Mass Equation (IMME) with coeffi cients accessible through experimental measurements. Higher order effects are expected to appear through cubic, or higher, polynomial terms. The current IMME coeffi cient trends, as based on the IAS states included in the 2012 Atomic Mass Evaluation and NUBASE2012 are shown.

Highlights

  • A mass relationship can be observed in isobars belonging to the same isospin multiplet around N = Z and for masses A < 60

  • In this paper we focus only on the analogues of ground states

  • 02065-p.2 to 51 while the T = 3 dataset is rather limited, with only three isobaric analogue states (IAS) mass multiplets experimentally established in the range A = 46 to 58

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Summary

Introduction

The ground state of a given nuclide may be identified as an excited state in the multiplet members. The members of a given isospin multiplet T have projections Tz running from −T to +T. Internal isospin states T , describing the analogue ground state of the most neutron-rich nuclide, can take the values. Ground state masses and NUBASE2012 [8] excited states are shown along with higher order d coefficients

Second order IMME
Third order IMME
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