Accurate shell-model nuclear matrix elements for neutrinoless double-β decay

被引：52

作者：

Sen'kov, R. A. ^{[1
]}

Horoi, M. ^{[1
]}

机构：

[1] Cent Michigan Univ, Dept Phys, Mt Pleasant, MI 48859 USA

来源：

PHYSICAL REVIEW C | 2014年 / 90卷 / 05期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevC.90.051301

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

We investigate a novel method of accurate calculation of the neutrinoless double-beta decay shell-model nuclear matrix elements for the experimentally relevant case of Ge-76. We demonstrate that with the new method the nuclear matrix elements have perfect convergence properties and, using only the first 100 intermediate states of each spin, the matrix elements can be calculated with better than 1% accuracy. Based on the analysis of neutrinoless double-beta decays of Ca-48, Se-82, and Ge-76 isotopes, we propose a new method to estimate the optimal values of the average closure energies at which the closure approximation gives the most accurate nuclear matrix elements. We also analyze the nuclear matrix elements for the heavy-neutrino-exchange mechanism, and we show that our method can be used to quench contributions from different intermediate spin states.

引用

页数：5

共 33 条

[1] IGEX 76Ge neutrinoless double-beta decay experiment:: Prospects for next generation experiments -: art. no. 092007 [J].

Aalseth, CE ;

Avignone, FT ;

Brodzinski, RL ;

Cebrian, S ;

Garcia, E ;

Gonzalez, D ;

Hensley, WK ;

Irastorza, IG ;

Kirpichnikov, IV ;

Klimenko, AA ;

Miley, HS ;

Morales, A ;

Morales, J ;

de Solorzano, AO ;

Osetrov, SB ;

Pogosov, VS ;

Puimedon, J ;

Reeves, JH ;

Sarsa, ML ;

Smolnikov, AA ;

Starostin, AS ;

Tamanyan, AG ;

Vasenko, AA ;

Vasiliev, SI ;

Villar, JA .

PHYSICAL REVIEW D, 2002, 65 (09) :6

[2] The MAJORANA DEMONSTRATOR Neutrinoless Double-Beta Decay Experiment [J].

Abgrall, N. ;

Aguayo, E. ;

Avignone, F. T., III ;

Barabash, A. S. ;

Bertrand, F. E. ;

Boswell, M. ;

Brudanin, V. ;

Busch, M. ;

Caldwell, A. S. ;

Chan, Y. -D. ;

Christofferson, C. D. ;

Combs, D. C. ;

Detwiler, J. A. ;

Doe, P. J. ;

Efremenko, Yu. ;

Egorov, V. ;

Ejiri, H. ;

Elliott, S. R. ;

Esterline, J. ;

Fast, J. E. ;

Finnerty, P. ;

Fraenkle, F. M. ;

Galindo-Uribarri, A. ;

Giovanetti, G. K. ;

Goett, J. ;

Green, M. P. ;

Gruszko, J. ;

Guiseppe, V. E. ;

Gusev, K. ;

Hallin, A. L. ;

Hazama, R. ;

Hegai, A. ;

Henning, R. ;

Hoppe, E. W. ;

Howard, S. ;

Howe, M. A. ;

Keeter, K. J. ;

Kidd, M. F. ;

Knecht, A. ;

Kochetov, O. ;

Konovalov, S. I. ;

Kouzes, R. T. ;

LaFerriere, B. D. ;

Leon, J. ;

Leviner, L. E. ;

Loach, J. C. ;

Luke, P. N. ;

MacMullin, S. ;

Martin, R. D. ;

Mertens, S. .

ADVANCES IN HIGH ENERGY PHYSICS, 2014, 2014

[3] Results on Neutrinoless Double-β Decay of 76Ge from Phase I of the GERDA Experiment [J].

Agostini, M. ;

Allardt, M. ;

Andreotti, E. ;

Bakalyarov, A. M. ;

Balata, M. ;

Barabanov, I. ;

Heider, M. Barnabe ;

Barros, N. ;

Baudis, L. ;

Bauer, C. ;

Becerici-Schmidt, N. ;

Bellotti, E. ;

Belogurov, S. ;

Belyaev, S. T. ;

Benato, G. ;

Bettini, A. ;

Bezrukov, L. ;

Bode, T. ;

Brudanin, V. ;

Brugnera, R. ;

Budjas, D. ;

Caldwell, A. ;

Cattadori, C. ;

Chernogorov, A. ;

Cossavella, F. ;

Demidova, E. V. ;

Domula, A. ;

Egorov, V. ;

Falkenstein, R. ;

Ferella, A. ;

Freund, K. ;

Frodyma, N. ;

Gangapshev, A. ;

Garfagnini, A. ;

Gotti, C. ;

Grabmayr, P. ;

Gurentsov, V. ;

Gusev, K. ;

Guthikonda, K. K. ;

Hampel, W. ;

Hegai, A. ;

Heisel, M. ;

Hemmer, S. ;

Heusser, G. ;

Hofmann, W. ;

Hult, M. ;

Inzhechik, L. V. ;

Ioannucci, L. ;

Csathy, J. Janicsko ;

Jochum, J. .

PHYSICAL REVIEW LETTERS, 2013, 111 (12)

[4]

[Anonymous], ARXIVHEPEX0404039

[5]

BAREA J, 2013, PHYS REV C, V87

[6] Influence of pairing on the nuclear matrix elements of the neutrinoless ββ decays [J].

Caurier, E. ;

Menendez, J. ;

Nowacki, F. ;

Poves, A. .

PHYSICAL REVIEW LETTERS, 2008, 100 (05)

[7] Shell Model description of the ββ decay of 136Xe [J].

Caurier, E. ;

Nowacki, F. ;

Poves, A. .

PHYSICS LETTERS B, 2012, 711 (01) :62-64

[8]

Ejiri H, 2013, AIP CONF PROC, V1572, P40, DOI [10.1063/14856545, 10.1063/1.4856545]

[9] Multi-isotope degeneracy of neutrinoless double-β decay mechanisms in the quasiparticle random-phase approximation [J].

Faessler, Amand ;

Fogli, G. L. ;

Lisi, E. ;

Rotunno, A. M. ;

Simkovic, F. .

PHYSICAL REVIEW D, 2011, 83 (11)

[10]

Haxton W., 1984, Prog. Part. Nucl. Phys., V12, P409

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