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Title: Calculation Of Two Neutrino Double Beta Decay Nuclear Matrix Elements For 128,130Te

Abstract

Based on Pyatov-Salamov method, spin-isospin (Gamow-Teller) effective interaction strength parameter has been found self-consistently. Then, the problem has been solved within the framework of QRPA. Gamow-Teller matrix elements for both {beta}- and {beta}+ transitions and two neutrino double beta decay nuclear matrix elements have been calculated for 128,130Te{yields}128,130Xe transitions. The obtained results have been compared with the corresponding experimental data and other theoretical results.

Authors:
;  [1];  [2];  [3]
  1. Anadolu University, Department of Physics, Eskisehir (Turkey)
  2. Celal Bayar University, Department of Physics, Manisa (Turkey)
  3. Dumlupinar University, Department of Physics, Kutahya (Turkey)
Publication Date:
OSTI Identifier:
20798628
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 831; Journal Issue: 1; Conference: International conference on frontiers in nuclear structure, astrophysics, and reactions - FINUSTAR, Isle of Kos (Greece), 12-17 Sep 2005; Other Information: DOI: 10.1063/1.2200899; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; DOUBLE BETA DECAY; GAMOW-TELLER RULES; ISOSPIN; MASS NUMBER; MATRIX ELEMENTS; NEUTRINOS; NUCLEAR MATRIX; RANDOM PHASE APPROXIMATION; SPIN; TELLURIUM 128; TELLURIUM 130; XENON 128; XENON 130

Citation Formats

Uenlue, S., Salamov, D. I., Babacan, T., and Kuecuekbursa, A.. Calculation Of Two Neutrino Double Beta Decay Nuclear Matrix Elements For 128,130Te. United States: N. p., 2006. Web. doi:10.1063/1.2200899.
Uenlue, S., Salamov, D. I., Babacan, T., & Kuecuekbursa, A.. Calculation Of Two Neutrino Double Beta Decay Nuclear Matrix Elements For 128,130Te. United States. doi:10.1063/1.2200899.
Uenlue, S., Salamov, D. I., Babacan, T., and Kuecuekbursa, A.. Wed . "Calculation Of Two Neutrino Double Beta Decay Nuclear Matrix Elements For 128,130Te". United States. doi:10.1063/1.2200899.
@article{osti_20798628,
title = {Calculation Of Two Neutrino Double Beta Decay Nuclear Matrix Elements For 128,130Te},
author = {Uenlue, S. and Salamov, D. I. and Babacan, T. and Kuecuekbursa, A.},
abstractNote = {Based on Pyatov-Salamov method, spin-isospin (Gamow-Teller) effective interaction strength parameter has been found self-consistently. Then, the problem has been solved within the framework of QRPA. Gamow-Teller matrix elements for both {beta}- and {beta}+ transitions and two neutrino double beta decay nuclear matrix elements have been calculated for 128,130Te{yields}128,130Xe transitions. The obtained results have been compared with the corresponding experimental data and other theoretical results.},
doi = {10.1063/1.2200899},
journal = {AIP Conference Proceedings},
number = 1,
volume = 831,
place = {United States},
year = {Wed Apr 26 00:00:00 EDT 2006},
month = {Wed Apr 26 00:00:00 EDT 2006}
}
  • The two-neutrino double-{beta} (2{nu}{beta}{beta}) decay represents a test case for our knowledge about the nuclear structure of the involved isobars. The decay of {sup 48}Ca is an especially interesting case because it holds an anomaly of a uniquely high Q{sub {beta}}{sub {beta}} value and a comparatively long half-life, which points to a peculiar nuclear structure situation. The nuclear matrix element relevant for {beta}{beta} decay can be calculated, if the complete set of Gamow-Teller (GT) matrix elements for the two virtual transitions in the perturbative description are known. Using the high-resolution (d,{sup 2}He) probe, we have measured the GT {sup +}more » strength distribution in {sup 48}Sc, which is the intermediate nucleus in the {sup 48}Ca {beta}{beta} decay. By combining our measured GT distribution with data from a {sup 48}Ca(p,n) experiment and taking into account relative phases between individual matrix elements, which can be gained from theoretical models, one can compute the double-GT matrix element and deduce the half-life of the {sup 48}Ca 2{nu}{beta}{beta} decay.« less
  • Angular distributions of the double differential cross sections for the {sup 48}Ca(p,n) and the {sup 48}Ti(n,p) reactions were measured. A multipole decomposition technique was applied to the spectra to extract the Gamow-Teller (GT) component. Extra GT{sup +} strengths are found above 8 MeV excitation energy which cannot be explained by shell model calculations within the fp-shell model space.
  • The double-differential cross sections for the {sup 48}Ca(p,n) and {sup 48}Ti(n,p) reactions were measured at 300 MeV. A multipole decomposition technique was applied to the spectra to extract the Gamow-Teller (GT) components. The integrated GT strengths up to an excitation energy of 30 MeV in {sup 48}Sc are 15.3+-2.2 and 2.8+-0.3 in the (p,n) and (n,p) spectra, respectively. In the (n,p) spectra additional GT strengths were found above 8 MeV where shell models within the fp shell-model space predict almost no GT strengths, suggesting that the present shell-model description of the nuclear matrix element of the two-neutrino double-beta decay ismore » incomplete.« less
  • Here we present the theoretical results for the Gamow-Teller two-neutrino double-beta decay (DBD) matrix elements for 0[sub 1][sup +][r arrow]0[sub 1][sup +] and 2[sub 1][sup +] transitions in the case of [sup 76]Ge to [sup 76]Se and [sup 82]Se to [sup 82]Kr nuclei. The calculations have been done in the framework of the variation after projection on the Hartree-Fock-Bogoliubov model with 2[ital p][sub 1/2], 2[ital p][sub 3/2], 1[ital f][sub 5/2], and 1[ital g][sub 9/2] valence space employing the modified Kuo-Brown interactions. The value of DBD half-lives result in excellent agreement for ground state (g.s.) to g.s. excitations of [sup 76]Gemore » and [sup 82]Se nuclei. Our results are in contrast with existing theoretical calculations for g.s. to 2[sup +] excited state and are much closer to the experimental limits.« less
  • A second quasi-random-phase approximation (QRPA) procedure is employed to perform calculations of the [ital M][sub GT][sup 2[nu]] matrix elements for several [beta][beta] emitters. It is found that higher-order QRPA (HQRPA) corrections display a weak dependence on particle-particle (pp) strength [ital g][sub pp] and, in the physical region (around [ital g][sub pp]=1.0), they become important by comparison with QRPA predictions. It turns out that a further investigation of the HQRPA corrections could be illuminating to obtain more stable and reliable values for [ital M][sub GT][sup 2[nu]] matrix elements in this region, where they are very sensitive to the pp strength.