Allowed Gamow-Teller Excitations from the Ground State of 14N

Abstract

Motivated by the proposed experiment ${}^{14}N(d,{}^{2}He{)}^{14}C$, we study the final states which can be reached via the allowed Gamow-Teller mechanism. Much emphasis has been given in the past to the fact that the transition matrix element from the $J^{\pi }=1^{+}T=0$ ground state of ${}^{14}N$ to the $J^{\pi }=0^{+}T=1$ ground state of ${}^{14}C$ is very close to zero, despite the fact that all the quantum numbers are right for an allowed transition. We discuss this problem, but, in particular, focus on the excitations to final states with angular momenta $1^{+}$ and $2^{+}$. We note that the summed strength to the $J^{\pi }=2^{+}T=1$ states, calculated with a wide variety of interactions, is significantly larger than that to the $J^{\pi }=1^{+}T=1$ final states.

Submitted to Phys. Rev. C

References in corpus (5)

• Properties of ${}^{12}$C in the {\it ab initio} nuclear shell-model
• No-core shell-model calculations with starting- energy-independent multi-valued effective interactions
• Effects of the Spin-Orbit and Tensor Interactions on the $M1$ and $E2$ Excitations in Light Nuclei
• Self weakening of the tensor interaction in a nucleus
• Vanishing Gamow-Teller Transition Rate for A=14 and the Nucleon-Nucleon Interaction in the Medium

Cited by in corpus (10)

• Origin of the anomalous long lifetime of 14C
• Chiral three-nucleon interaction and the carbon-14 dating beta decay
• Coupled-cluster calculations for valence systems around O-16
• Computational Nuclear Quantum Many-Body Problem: The UNEDF Project
• Ab initio nuclear structure calculations of light nuclei
• The impact of the off-diagonal cross-shell interaction on ${}^{14}$C
• Recent progress in configuration-interaction shell model
• Gamov-Teller transitions from 14N ground to 14C ground and excited states
• Introduction to low-momentum effective interactions with Brown-Rho scaling and three-nucleon forces
• Recoil alignment in muon capture on nitrogen-14