<math display="inline"><mi>N</mi><mo>=</mo><mn>16</mn></math> Magicity Revealed at the Proton Drip Line through the Study of <math display="inline"><mrow><mmultiscripts><mrow><mi>Ca</mi></mrow><mprescripts/><none/><mrow><mn>35</mn></mrow></mmultiscripts></mrow></math> - INSPIRE

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$N = 16$ Magicity Revealed at the Proton Drip Line through the Study of ${}^{35}{Ca}$

L. Lalanne
(
- IJCLab, Orsay and
- GANIL
)
,
O. Sorlin
(
- GANIL
)
,
A. Poves
(
- Madrid, Autonoma U. and
- Madrid, IFT
)
,
M. Assié
(
- IJCLab, Orsay
)
,
F. Hammache
(
- IJCLab, Orsay
)

Feb 28, 2023

5 pages

Published in:

Phys.Rev.Lett. 131 (2023) 9, 092501

Published: Aug 29, 2023

e-Print:

2302.14382 [nucl-ex]

DOI:

10.1103/PhysRevLett.131.092501 (publication)

View in:

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Abstract: (APS)

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

{}^{36}{Ca}

by 840 keV.

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