Shell evolution and nuclear forces

Abstract

We present a quantitative study of the role played by different components characterizing the nucleon-nucleon interaction in the evolution of the nuclear shell structure. It is based on the spin-tensor decomposition of an effective two-body shell-model interaction and the subsequent study of effective single-particle energy variations in a series of isotopes or isotones. The technique allows to separate unambiguously contributions of the central, vector and tensor components of the realistic effective interaction. We show that while the global variation of the single-particle energies is due to the central component of the effective interaction, the characteristic behavior of spin-orbit partners, noticed recently, is mainly due to its tensor part. Based on the analysis of a well-fitted realistic interaction in sdpf-shell model space, we analyze in detail the role played by the different terms in the formation and/or disappearance of N=16, N=20 and N=28 shell gaps in neutron-rich nuclei.

6 pages, 4 figures

References in corpus (13)

• Nuclear magic numbers: new features far from stability
• Novel features of nuclear forces and shell evolution in exotic nuclei
• Spin-orbit splitting and the tensor component of the Skyrme interaction
• A new effective interaction for $0\hslash \omega$ shell model calculations in the sdpf valence space
• Shell Structure and $\rho$-Tensor Correlations in Density-Dependent Relativistic Hartree-Fock theory
• Tensor interaction contributions to single-particle energies
• Evolution of Nuclear Shell Structure due to the Pion Exchange Potential
• Spin-orbit and tensor mean-field effects on spin-orbit splitting including self-consistent core polarizations
• Evolution of nuclear shells with the Skyrme density dependent interaction
• Evolution of the proton sd states in neutron-rich Ca isotopes
• A mean field study of single-particle spectra evolution in Z=14 and N=28 chains
• Study of the effect of the tensor correlation in oxygen isotopes with the charge- and parity-projected Hartree-Fock method
• Contradicting effective mass scalings within the Skyrme energy density functional method

Cited by in corpus (24)

• Evolution of shell structure in exotic nuclei
• Shape transitions in exotic Si and S isotopes and tensor-force-driven Jahn-Teller effect
• Shell model study for neutron-rich sd-shell nuclei
• Magicity of neutron-rich isotopes within relativistic self-consistent approaches
• Evolution of the N=28 shell closure: a test bench for nuclear forces
• Precision Mass Measurement of ${}^{58-63}$Cr: Nuclear Collectivity towards the \emph{N}=40 Island of Inversion
• Spins and Magnetic Moments of ${}^{49}$K and ${}^{51}$K: establishing the 1/2${}^{+}$ and 3/2${}^{+}$ level ordering beyond $N$ = 28
• Experimental study of the two-body spin-orbit force
• Shell structure of potassium isotopes deduced from their magnetic moments
• Emergence of the N=16 shell gap in 21O
• Renormalization persistency of tensor force in nuclei
• Effective interactions in the sd shell
• Decay of superheavy nuclei based on the random forest algorithm
• Shell evolution in neutron-rich carbon isotopes: Unexpected enhanced role of neutron-neutron correlation
• Examining the $N$ = 28 shell closure through high-precision mass measurements of ${}^{46-48}$Ar
• Study of Neutron Magic Drip-Line Nuclei within Relativistic Mean Field plus BCS Approach
• Spectroscopic factors of resonance states with the Gamow shell model
• Shell model results for ${}^{47-58}$Ca isotopes in the $fp$, $fp{g}_{9/2}$ and $fp{g}_{9/2}{d}_{5/2}$ model spaces
• Nuclear structure properties of Si and P isotopes with the microscopic effective interactions
• The scientific legacy of J. P. Elliott
• Neutron-hole strength in N = 81 nuclei
• Evolution of shell structure at $\mathbf{N}=32$ and 34: Insights from realistic nuclear forces
• A way forward towards improvement of tensor force in \textit{pf}-shell
• Role of individual components of two-nucleon interaction in nuclear matrix elements of $2\nu \beta \beta$ and $0\nu \beta \beta$ of ${}^{\text{48}}$Ca: Beyond the closure approximation