Sensitive behavior of 2 nu beta beta-decay amplitude within QRPA and broken SU(4) symmetry in nuclei

Autor: Rodin, VA, Urin, MH, Faessler, A
Přispěvatelé: KVI - Center for Advanced Radiation Technology
Jazyk: angličtina
Rok vydání: 2005
Předmět:
Zdroj: Nuclear Physics A, 747(2-4), 295-307. ELSEVIER SCIENCE BV
ISSN: 0375-9474
Popis: Making use of an identity transformation independent of a nuclear model, we represent the 2vbetabeta-amplitude as a sum of two terms. One term accounts for most of the sensitivity of the original 2vbetabeta-amplitude to g'(pp) for realistic g'(pp) similar or equal to 1 (with g'(pp) being the ratio of the triplet and singlet p-p interaction strengths) and is determined by a specific energy-weighted sum rule. The sum rule depends only on the particle-particle residual interaction (being linear function of g'(pp) in the QRPA) and passes through zero at the point g'(pp) = 1 where the Wigner SU(4) symmetry is restored in the p-p sector of the Hamiltonian. The second term in the decomposition of the 2vbetabeta-amplitude is demonstrated within the QRPA to be a much smoother function for the realistic values of g'(pp) than the original 2vbetabeta-amplitude. This term is mainly determined by the intensity of the spin-orbit interaction of the nuclear mean field. Thus, the analysis of the present work reveals the reasons for the sensitivity of the 2vbetabeta-amplitude to different components of the nuclear Hamiltonian and thereby can help in constraining nuclear model uncertainties in calculations of the amplitude. (C) 2004 Elsevier B.V. All rights reserved.
Databáze: OpenAIRE