Ab initio study of Z(N) = 6 magicity

Abstract

The existence of magic numbers of protons and neutrons in nuclei is essential for understanding nuclear structure and fundamental nuclear forces. Over decades, researchers have conducted theoretical and experimental studies on the new magic number Z(N) = 6, focusing on observables such as radii, binding energy, electromagnetic transition, and nucleon separation energies. We perform the ab initio no-core shell model calculations for the occupation numbers of the lowest single particle states in the ground states of Z(N) = 6 and Z(N) = 8 isotopes (isotones). Our calculations do not support Z(N) = 6 as a magic number over a span of atomic numbers. However, 14C and 14O exhibit the characteristics of double-magic nuclei.

References in corpus (13)

• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Magic numbers in exotic nuclei and spin-isospin properties of {\it NN} interaction
• Properties of ${}^{12}$C in the {\it ab initio} nuclear shell-model
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Many-body nuclear Hamiltonian: Ab exitu approach
• N3LO NN interaction adjusted to light nuclei in ab exitu approach
• Cross-shell excitation in two-proton knockout: Structure of ${}^{52}$Ca
• Probing the N = 32 shell closure below the magic proton number Z = 20: Mass measurements of the exotic isotopes 52,53K
• The N = 16 spherical shell closure in 24O
• Evidence for Z=6 `magic number' in neutron-rich carbon isotopes
• Systematics of 2+ states in C isotopes from the ab initio no-core shell model
• Hindered proton collectivity in 28S: Possible magic number at Z=16
• Description of Nuclei with Magic Number Z(N) = 6

Cited by in corpus (1)

• Alpha-Particle Monopole Form Factors with Ab Initio No-Core Shell Model