학술논문
N=16 magicity revealed at the proton drip-line through the study of 35Ca
Document Type
Working Paper
Author
Lalanne, L.; Sorlin, O.; Poves, A.; Assié, M.; Hammache, F.; Koyama, S.; Suzuki, D.; Flavigny, F.; Girard-Alcindor, V.; Lemasson, A.; Matta, A.; Roger, T.; Beaumel, D.; Blumenfeld, Y; Brown, B. A.; Santos, F. De Oliveira; Delaunay, F.; de Séréville, N.; Franchoo, S.; Gibelin, J.; Guillot, J.; Kamalou, O.; Kitamura, N.; Lapoux, V.; Mauss, B.; Morfouace, P.; Pancin, J.; Saito, T. Y.; Stodel, C.; Thomas, J-C.
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Subject
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Abstract
The last proton bound calcium isotope $^{35}$Ca has been studied for the first time, using the $^{37}$Ca($p, t$)$^{35}$Ca two neutron transfer reaction. The radioactive $^{37}$Ca nuclei, produced by the LISE spectrometer at GANIL, interacted with the protons of the liquid hydrogen target CRYPTA, to produce tritons $t$ that were detected in the MUST2 detector array, in coincidence with the heavy residues Ca or Ar. The atomic mass of $^{35}$Ca and the energy of its first 3/2$^+$ state are reported. A large $N=16$ gap of 4.61(11) MeV is deduced from the mass measurement, which together with other measured properties, makes $^{36}$Ca a doubly-magic nucleus. The $N = 16$ shell gaps in $^{36}$Ca and $^{24}$O are of similar amplitude, at both edges of the valley of stability. This feature is discussed in terms of nuclear forces involved, within state-of-the-art shell model calculations. Even though the global agreement with data is quite convincing, the calculations underestimate the size of the $N = 16$ gap in 36Ca by 840(110) keV.