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The $$T=2$$ mirrors $$^{36}$$Ca and $$^{36}$$S; A Test for isospin symmetry of shell gaps at the driplines

Doornenbal, P.*; Reiter, P.*; Grawe, H.*; Otsuka, Takaharu*; Al-Khatib, A.*; Banu, A.*; Beck, T.*; Becker, F.*; Bednarczyk, P.*; Benzoni, G.*; Bracco, A.*; B$"u$rger, A.*; C$'a$ceres, L.*; Camera, F.*; Chmel, S.*; Crespi, F. C. L.*; Geissel, H.*; Gerl, J.*; G$'o$rska, M.*; Gr$c{e}$bosz, J.*; H$"u$bel, H.*; Kavatsyuk, M.*; Kavatsyuk, O.*; Kmiecik, M.*; Kojouharov, I.*; Kurz, N.*; Lozeva, R.*; Maj, A.*; Mandal, S.*; Meczynski, W.*; Million, B.*; Podoly$'a$k, Zs.*; Richard, A.*; Saito, Nami*; Saito, Takehiko*; Schaffner, H.*; Seidlitz, M.*; Striepling, T.*; Utsuno, Yutaka; Walker, J.*; Warr, N.*; Weick, H.*; Wieland, O.*; Winkler, M.*; Wollersheim, H. J.*

The first excited state of $$^{36}$$Ca was measured at GSI for the first time. The measured $$2^+_1$$ energy is found to be 3015(16) keV, which is lower than its mirror nucleus $$^{36}$$S by as large as 276 keV. The structure of those nuclei is studied by the shell model. It is found that those nuclei can be well described by the $$sd$$ valence space. The large energy shift between them is caused by the Thomas-Ehrman effect. We presented that the energy shift in the $$sd$$ shell region can be explained by the shell model with a phenomenological treatment of the Thomas-Ehrman effect.

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