Using the eikonal approximation and small momentum transfer approximation a simple model for differential cross section for double charge exchange has been derived and under those hypothesis a factorization of the reaction part and the nuclear part holds. Moreover, the explicit form for a double charge exchange effective potential has been derived in the closure approximation and also and explicit expression for the nuclear matrix elements that are of the form of Double Gamow-Teller and Double Fermi in the microscopic IBM-2.
REFERENCES
1.
J. B.
Albert
et al (EXO-200 Collaboration
), Nature
510
, 229
(2014
).2.
K.
Alfonso
et al (CUORE Collaboration
), Phys. Rev. Lett.
115
, 102502
(2015
).3.
A.
Gando
et al (KamLAND-Zen Collaboration
), Phys. Rev. Lett.
117
, 082503
(2016
).4.
M.
Agostini
et al (GERDA Collaboration
), Nature
544
, 47
(2017
).5.
J.
Suhonen
and O.
Civitarese
, Nucl. Phys. A
847
, 207
(2010
).6.
A.
Meroni
, S. T.
Petcov
and F.
Šimkovic
, JHEP
1302
, 025
(2013
).7.
R. A.
Sen’kov
and M.
Horoi
, Phys. Rev. C
88
, no. 6
, 064312
(2013
).8.
F.
Šimkovic
, V.
Rodin
, A.
Faessler
and P.
Vogel
, Phys. Rev. C
87
, no. 4
, 045501
(2013
).9.
M. T.
Mustonen
and J.
Engel
, Phys. Rev. C
87
, no. 6
, 064302
(2013
).10.
J.
Barea
, J.
Kotila
and F.
Iachello
, Phys. Rev. C
91
, 034304
(2015
).11.
J.
Engel
and J.
Menéndez
, Rept. Prog. Phys.
80
, no. 4
, 046301
(2017
).12.
M.
Takaki
et al, JPS Conf. Proc.
6
, 020038
(2015
).13.
M.
Takaki
et al, CNS Ann. Rep.
94
, 9
(2014
).14.
T.
Uesaka
et al, RIKEN RIBF NP-PAC, NP1512-RIBF141
(2015
).15.
F.
Cappuzzello
et al, EPJ Web Conf.
117
, 10003
(2016
).16.
F.
Cappuzzello
, M.
Cavallaro
, C.
Agodi
, M.
Bondi
, D.
Carbone
, A.
Cunsolo
and A.
Foti
, Eur. Phys. J. A
51
, 145
(2015
).17.
F.
Cappuzzello
et al, Eur. Phys. J. A
54
, 72
(2018
).18.
H.
Lenske
, J. I.
Bellone
, M.
Colonna
, and J. A.
Lay
, Phys. Rev. C
98
, 044620
(2018
)H.
Lenske
, J. Phys. Conf. Ser.
1056
, no. 1
, 012030
(2018
)19.
J. I.
Bellone
, M.
Colonna
, H.
Lenske
and J. A.
Lay
, J. Phys. Conf. Ser.
1056
, no. 1
, 012004
(2018
).20.
P.
Vogel
, M.
Ericson
, and J. D.
Vergados
, Phys. Lett. B
212
, 259
(1988
).21.
N.
Auerbach
, L.
Zamick
, and D. C.
Zheng
, Ann. Phys. (N.Y.
) 192
, 77
(1989
).22.
E.
Santopinto
, H.
García-Tecocoatzi
, R.I. Magaña
Vsevolodovna
and J.
Ferretti
, Phys. Rev. C
98
, no. 6
, 061601
(2018
).23.
G. F.
Bertsch
and H.
Esbensen
, Rep. Prog. Phys.
50
, 607
(1987
).
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