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Linear relations between high-purity energy levels in A=12−16 nuclei

J. H. van der Merwe, C. M. Villet

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Abstract

We have assumed the $T=0 \mathrm{and} 1$ negative-parity quartets of levels in $A=14$ nuclei, as well as the $T=1$ negative-parity quartet in $A=16$ nuclei, to represent pure configurations. Linear relationships between the energies of these groups of levels produce results which are consistent with the relevant part of the single-particle energy spectrum in this region. From the given $A=14$ energy values conclusions are made concerning the low positive-parity levels in $A=15$. Due consideration is given to the necessary Coulomb corrections in all the calculations.NUCLEAR STRUCTURE $A=12\ensuremath{-}16$; calculated Coulomb energies, single-particle energies. $A=16$ negative-parity states and $A=15$ positive-parity states; deduced level positions.

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We have assumed the $T=0 \mathrm{and} 1$ negative-parity quartets of levels in $A=14$ nuclei, as well as the $T=1$ negative-parity quartet in $A=16$ nuclei, to represent pure configurations. Linear relationships between the energies of these groups of levels produce results which are consistent with the relevant part of the single-particle energy spectrum in this region. From the given $A=14$ energy values conclusions are made concerning the low positive-parity levels in $A=15$. Due consideration is given to the necessary Coulomb corrections in all the calculations.NUCLEAR STRUCTURE $A=12\ensuremath{-}16$; calculated Coulomb energies, single-particle energies. $A=16$ negative-parity states and $A=15$ positive-parity states; deduced level positions.

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Available abstract

We have assumed the $T=0 \mathrm{and} 1$ negative-parity quartets of levels in $A=14$ nuclei, as well as the $T=1$ negative-parity quartet in $A=16$ nuclei, to represent pure configurations. Linear relationships between the energies of these groups of levels produce results which are consistent with the relevant part of the single-particle energy spectrum in this region. From the given $A=14$ energy values conclusions are made concerning the low positive-parity levels in $A=15$. Due consideration is given to the necessary Coulomb corrections in all the calculations.NUCLEAR STRUCTURE $A=12\ensuremath{-}16$; calculated Coulomb energies, single-particle energies. $A=16$ negative-parity states and $A=15$ positive-parity states; deduced level positions.

Key concepts: Parity (physics), Physics, Coulomb, Energy (signal processing), Atomic physics, Parity bit, Nuclear physics, Quantum mechanics

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