<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>β</mml:mi></mml:math> decay of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>Mg</mml:mi><mml:mprescripts/><mml:none/><mml:mn>36</mml:mn></mml:mmultiscripts></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>Al</mml:mi><mml:mprescripts/><mml:none/><mml:mn>36</mml:mn></mml:mmultiscripts></mml:math>: Identification of a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>β</mml:mi></mml:math>-decaying isomer in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>Al</mml:mi><mml:mprescripts/><mml:none/><mml:mn>36</mml:mn></mml:mmultiscripts></mml:math>
R. S. Lubna, S. N. Liddick, T. H. Ogunbeku, A. Chester, J. M. Allmond, S. Bhattacharya, C. M. Campbell, M. P. Carpenter, K. Childers, P. Chowdhury, J. Christie, B. R. Clark, R. M. Clark, I. Cox, H. L. Crawford, B. P. Crider, A. A. Doetsch, P. Fallon, A. Frotscher, T. Gaballah, T. J. Gray, R. Grzywacz, J. T. Harke, A. C. Hartley, R. Jain, T. King, N. Kitamura, K. Kolos, F. G. Kondev, Edward Lamere, R. Lewis, B. Longfellow, S. Lyons, S. Luitel, M. Madurga, Ruchi Mahajan, M. J. Mogannam, C. Morse, S. Neupane, W.-J. Ong, D. Pérez–Loureiro, C. Porzio, C. J. Prokop, A. Richard, E. K. Ronning, E. Rubino, K. P. Rykaczewski, D. Seweryniak, K. Siegl, Umesh Silwal, M. Singh, Durga Siwakoti, D. C. Smith, M. K. Smith, S. L. Tabor, T. L. Tang, Vandana Tripathi, Alexander Volya, T. Wheeler, Yiming Xiao, Z. Y. Xu
Abstract
The level structure of $^{36}\mathrm{Al}$ has been studied via $\ensuremath{\beta}$ decay of $^{36}\mathrm{Mg}$ at the Facility for Rare Isotope Beams (FRIB) and the National Superconducting Cyclotron Laboratory (NSCL). A long-lived isomer in $^{36}\mathrm{Al}$ was identified which decays by $\ensuremath{\beta}$ to an excited state of $^{36}\mathrm{Si}$. The ground state and the isomeric state of $^{36}\mathrm{Al}$ were found to populate different energy levels of $^{36}\mathrm{Si}$. The results from the two data sets in the present work complement each other. Configuration interaction calculations performed with the FSU shell-model Hamiltonians provide reasonable descriptions to the experimental observations and offer insight into future improvements of the theoretical interpretation.