Isospin mixing and the cubic isobaric multiplet mass equation in the lowest <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>T</mi><mo>=</mo><mn>2</mn></mrow></math>, <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>A</mi><mo>=</mo><mn>32</mn></mrow></math> quintet

M. Kamil; S. Triambak; A. Magilligan; A. García; B. A. Brown; P. Adsley; V. Bildstein; C. Burbadge; A. Diaz Varela; T. Faestermann; P. E. Garrett; R. Hertenberger; N. Y. Kheswa; K. G. Leach; R. Lindsay; D. J. Marín-Lámbarri; F. Ghazi Moradi; N. J. Mukwevho; R. Neveling; J. C. Nzobadila Ondze; P. Papka; L. Pellegri; V. Pesudo; B. M. Rebeiro; M. Scheck; F. D. Smit; H.-F. Wirth

doi:10.1103/PhysRevC.104.L061303

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Isospin mixing and the cubic isobaric multiplet mass equation in the lowest $T = 2$ , $A = 32$ quintet

M. Kamil¹, S. Triambak ^1,*, A. Magilligan², A. García³, B. A. Brown², P. Adsley^4,5, V. Bildstein⁶, C. Burbadge⁶, A. Diaz Varela⁶ et al.

T. Faestermann⁷, P. E. Garrett^6,1, R. Hertenberger⁸, N. Y. Kheswa⁵, K. G. Leach⁹, R. Lindsay¹, D. J. Marín-Lámbarri¹, F. Ghazi Moradi⁶, N. J. Mukwevho¹, R. Neveling⁵, J. C. Nzobadila Ondze¹, P. Papka^10,5, L. Pellegri^4,5, V. Pesudo¹, B. M. Rebeiro¹, M. Scheck¹¹, F. D. Smit⁵, and H.-F. Wirth⁸

¹Department of Physics and Astronomy, University of the Western Cape, P/B X17, Bellville 7535, South Africa
²Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824-1321, USA
³Department of Physics and Center for Experimental Nuclear Physics and Astrophysics, University of Washington, Seattle, Washington 98195, USA
⁴School of Physics, University of the Witwatersrand, Johannesburg 2050, South Africa
⁵iThemba LABS, P.O. Box 722, Somerset West 7129, South Africa
⁶Department of Physics, University of Guelph, Guelph, Ontario N1G 2W1, Canada
⁷Physik Department, Technische Universität München, D-85748 Garching, Germany
⁸Fakultät für Physik, Ludwig-Maximilians-Universität München, D-85748 Garching, Germany
⁹Department of Physics, Colorado School of Mines, Golden, Colorado 80401, USA
¹⁰Department of Physics, Stellenbosch University, Private Bag X1, Matieland, 7602, South Africa
¹¹School of Computing, Engineering, and Physical Sciences, University of the West of Scotland, Paisley PA1 2BE, United Kingdom

^*striambak@uwc.ac.za

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Phys. Rev. C 104, L061303 – Published 15 December, 2021

DOI: https://doi.org/10.1103/PhysRevC.104.L061303

Abstract

The isobaric multiplet mass equation (IMME) is known to break down in the first $T = 2, A = 32$ isospin quintet. In this work we combine high-resolution experimental data with state-of-the-art shell-model calculations to investigate isospin mixing as a possible cause for this violation. The experimental data are used to validate isospin-mixing matrix elements calculated with newly developed shell-model Hamiltonians. Our analysis shows that isospin mixing with nonanalog $T = 1$ states contributes to the IMME breakdown, making the requirement of an anomalous cubic term inevitable for the multiplet.

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Isospin mixing and the cubic isobaric multiplet mass equation in the lowest $T = 2$ , $A = 32$ quintet

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Isospin mixing and the cubic isobaric multiplet mass equation in the lowest T=2, A=32 quintet

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Isospin mixing and the cubic isobaric multiplet mass equation in the lowest $T = 2$ , $A = 32$ quintet