Origin of a sensitive dependence of calculated $ββ$-decay amplitudes on the particle-particle residual interaction

Details Origin of a sensitive dependence of calculated $ββ$-decay amplitudes on the particle-particle residual interaction Origin of a sensitive dependence of calculated $ββ$-decay amplitudes on the particle-particle residual interaction

2011-02-14

arxiv.org/abs/1102.2807v2

Phys.Rev.C84:014322,2011

Physics

Nuclear Physics

Nuclear Theory

15 pages, 4 figures, to be published in PRC

Scientific paper

10.1103/PhysRevC.84.014322

In the present work the sensitivity of the QRPA calculation results to a realistic residual interaction is analyzed in the framework of the approach of Refs. \cite{Rum98,Rodin05}. Both Gamow-Teller (GT) and Fermi (F) \bb-decay amplitudes $M^{2\nu}$, along with the corresponding energy-weighted sum rules $S$, are calculated. General expressions relating $S$ to a realistic residual particle-particle interaction are derived, which show a pronounced sensitivity of $S$ to the singlet-channel interaction in the case of F transitions, and to the triplet-channel interaction in the case of GT transitions. Decompositions of $M^{2\nu}$, as well as the monopole transition contributions to $M^{0\nu}$, are obtained by the method of Refs. \cite{Rum98,Rodin05}. It is shown that in most of the cases almost the whole dependence of $M^{2\nu}$ and $M^{0\nu}$ on the particle-particle renormalization parameter $g_{pp}$ is accounted for by the $g_{pp}$-dependence of the corresponding sum rules $S$. Thus, the $g_{pp}$-sensitivity of calculated $M^{2\nu}$ and $M^{0\nu}$ is unavoidable since it is dictated by the generic structure of the $\beta\beta$ amplitudes. Finally, a better isospin-consistent way of a renormalization of the realistic residual particle-particle interaction to use in QRPA calculations is suggested.

Affiliated with

Also associated with

No associations

Rating

Origin of a sensitive dependence of calculated $ββ$-decay amplitudes on the particle-particle residual interaction does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Origin of a sensitive dependence of calculated $ββ$-decay amplitudes on the particle-particle residual interaction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Origin of a sensitive dependence of calculated $ββ$-decay amplitudes on the particle-particle residual interaction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-216495