Shell model description of the 14C dating beta decay with Brown-Rho-scaled NN interactions
Abstract
We present shell model calculations for the beta-decay of the 14C ground state to the 14N ground state, treating the states of the A=14 multiplet as two 0p holes in an 16O core. We employ low-momentum nucleon-nucleon (NN) interactions derived from the realistic Bonn-B potential and find that the Gamow-Teller matrix element is too large to describe the known lifetime. By using a modified version of this potential that incorporates the effects of Brown-Rho scaling medium modifications, we find that the GT matrix element vanishes for a nuclear density around 85% that of nuclear matter. We find that the splitting between the (J,T)=(1+,0) and (J,T)=(0+,1) states in 14N is improved using the medium-modified Bonn-B potential and that the transition strengths from excited states of 14C to the 14N ground state are compatible with recent experiments.
Keywords
Cite
@article{arxiv.0710.0310,
title = {Shell model description of the 14C dating beta decay with Brown-Rho-scaled NN interactions},
author = {J. W. Holt and G. E. Brown and T. T. S. Kuo and J. D. Holt and R. Machleidt},
journal= {arXiv preprint arXiv:0710.0310},
year = {2008}
}
Comments
4 pages, 5 figures Updated to include referee comments/suggestions