Relation between the 0νββ and 2νββ nuclear matrix elements reexamined
Abstract
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.Attached Files
Published - Simkovic2011p12692Phys_Rev_C.pdf
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Additional details
- Eprint ID
- 22635
- Resolver ID
- CaltechAUTHORS:20110303-111503675
- Department of Energy (DOE)
- DE-FG02-88ER40397
- German Deutsche Forschungsgemeinschaft (DFG)
- 436 SLK 17/298
- Transregio
- TR27
- VEGA Grant agency
- 1/0249/03
- Created
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2011-03-03Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field