Anatomy of the $0\ensuremath{\nu}\ensuremath{\beta}\ensuremath{\beta}$ nuclear matrix elements

Anatomy of the $0 ν β β$ nuclear matrix elements

Fedor Šimkovic, Amand Faessler, Vadim Rodin, Petr Vogel, and Jonathan Engel

Phys. Rev. C 77, 045503 – Published 16 April 2008

Abstract

We show that, within the quasiparticle random phase approximation (QRPA) and the renormalized QRPA (RQRPA) based on the Bonn-CD nucleon-nucleon interaction, the competition between the pairing and the neutron-proton particle-particle and particle-hole interactions causes contributions to the neutrinoless double-beta decay matrix element to nearly vanish at internucleon distances of more than 2 or 3 fermis. As a result, the matrix element is more sensitive to short-range/high-momentum physics than one naively expects. We analyze various ways of treating that physics and quantify the uncertainty it produces in the matrix elements, with three different treatments of short-range correlations.

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Received 9 October 2007

DOI:https://doi.org/10.1103/PhysRevC.77.045503

Authors & Affiliations

Fedor Šimkovic^1,*, Amand Faessler¹, Vadim Rodin¹, Petr Vogel², and Jonathan Engel³

¹Institute für Theoretische Physik der Universität Tübingen, D-72076 Tübingen, Germany
²Kellogg Radiation Laboratory and Physics Department, Caltech, Pasadena, California 91125, USA
³Department of Physics and Astronomy, University of North Carolina, Chapel Hill, North Carolina 27599-3255, USA

^*On leave of absence from Department of Nuclear Physics, Comenius University, Mlynská dolina F1, SK–84215 Bratislava, Slovakia.

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Vol. 77, Iss. 4 — April 2008

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Physical Review C

covering nuclear physics

Anatomy of the $0 ν β β$ nuclear matrix elements

Fedor Šimkovic, Amand Faessler, Vadim Rodin, Petr Vogel, and Jonathan Engel

Phys. Rev. C 77, 045503 – Published 16 April 2008

Abstract

Authors & Affiliations

Article Text (Subscription Required)

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Physical Review C

covering nuclear physics

Anatomy of the 0νββ nuclear matrix elements

Fedor Šimkovic, Amand Faessler, Vadim Rodin, Petr Vogel, and Jonathan Engel

Phys. Rev. C 77, 045503 – Published 16 April 2008

Abstract

Authors & Affiliations

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Anatomy of the $0 ν β β$ nuclear matrix elements