Šimkovic, Fedor and Hodák, Rastislav and Faessler, Amand and Vogel, Petr (2011) Relation between the 0νββ and 2νββ nuclear matrix elements reexamined. Physical Review C, 83 (1). Art. No. 015502. ISSN 0556-2813 http://resolver.caltech.edu/CaltechAUTHORS:20110303-111503675
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We show that the dominant Gamow-Teller part, M^(0ν)_(GT), of the nuclear matrix element governing the neutrinoless ββ decay is related to the matrix element M^(2ν)_(cl) governing the allowed two-neutrino ββ decay. That relation is revealed when these matrix elements are expressed as functions of the relative distance r between the pair of neutrons that are transformed into a pair of protons in the ββ decay. Analyzing this relation allows us to understand the contrasting behavior of these matrix elements when A and Z is changed; while M^(0ν)_(GT) changes slowly and smoothly, M^(2ν) has pronounced shell effects. We also discuss the possibility of phenomenological determination of the M^(2ν)_(cl) and from them of the M^(0ν)_(GT)values from the experimental study of the β^± strength functions.
|Additional Information:||© 2011 American Physical Society. Received 3 December 2010; published 21 January 2011. Useful discussions with Kazuo Muto are appreciated. The work of P.V. was partially supported by the US Department of Energy under Contract No. DE-FG02-88ER40397. A.F.,R.H., and F.S. acknowledge the support in part by the DFG project 436 SLK 17/298, the Transregio Project TR27 "Neutrinos and Beyond," and by the VEGA Grant agency under Contract No. 1/0249/03.|
|Classification Code:||PACS: 21.60.-n, 23.40.Hc|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Benjamin Perez|
|Deposited On:||03 Mar 2011 19:31|
|Last Modified:||26 Dec 2012 12:59|
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