Shell Model Description of the C14 Dating β Decay with Brown-Rho-Scaled NN Interactions Academic Article uri icon

abstract

  • We present shell model calculations for the beta decay of 14C 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 (GT) 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(pi),T)=(1(+),0) and (J(pi),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.

altmetric score

  • 3

author list (cited authors)

  • Holt, J. W., Brown, G. E., Kuo, T., Holt, J. D., & Machleidt, R.

citation count

  • 47

publication date

  • February 2008