Transfer reactions between odd-odd and even-even nuclei by using the interacting boson fermion fermion model and <math><mrow><mn>0</mn><mi>ν</mi><mi>β</mi><mi>β</mi></mrow></math> decay in closure approximation - INSPIRE

DataBETA

Transfer reactions between odd-odd and even-even nuclei by using the interacting boson fermion fermion model and $0 ν β β$ decay in closure approximation

Jan 14, 2021

8 pages

Published in:

Phys.Rev.C 106 (2022) 4, 044307

Published: Oct 11, 2022

e-Print:

2101.05659 [nucl-th]

DOI:

10.1103/PhysRevC.106.044307 (publication)

View in:

reference search6 citations

Citations per year

Abstract: (APS)

Spectroscopic amplitudes (SAs) in the interacting boson fermion fermion model (IBFFM) are necessary for the computation of

0 ν β β

decay but also for cross sections of heavy-ion reactions, in particular, double charge exchange reactions for the NUMEN Collaboration, if one does not want to use the closure limit. We present for the first time (i) the formalism and operators to compute in a general case the spectroscopic amplitudes in the IBFFM scheme from even-even to odd-odd nuclei, in a way suited to be used in reaction code, i.e., extracting the contribution of each orbital; (2) the odd-odd nuclei as described by the old IBFFM are obtained for the first time with the new implementation of machine learning (ML) techniques for fitting the parameters, getting a more realistic description. The one-body transition densities for

{}^{116}{Cd} \to {}^{116}{In}

and

{}^{116}{In} \to {}^{116}{Sn}

are part of the experimental program of the NUMEN experiment, which aims to find constraints on

0 ν β β

decay matrix elements. As a first application of the spectroscopic amplitudes we present the calculation of the

0 ν β β

nuclear matrix elements in the IBFFM formalism in closure approximation.

References(35)

Figures(7)

[1]

P. Van Isacker
,
J. Jolie
,
K. Heyde
,
A. Frank

- Phys.Rev.Lett. 54 (1985) 653
•
DOI:
- 10.1103/PhysRevLett.54.653

[2]

Average resonance capture studies of 198 Au: A test of symmetry schemes for odd-odd nuclei

D.D. Warner
(
- Brookhaven
)
,
R.F. Casten
(
- Brookhaven
)
,
A. Frank
(
- Yale U. and
- Cape Town U. and
- Mexico U., ICN
)

- Phys.Lett.B 180 (1986) 207-212
•
DOI:
- 10.1016/0370-2693(86)90297-2

[3]

A New Supersymmetry Chain for the Description of Odd-odd Nuclei

A.B. Balantekin
(
- Oak Ridge
)
,
V. Paar
(
- Zagreb U.
)

- Phys.Rev.C 34 (1986) 1917
•
DOI:
- 10.1103/PhysRevC.34.1917

[4]

Odd-odd interacting-boson-approximation calculations: Experimental agreement for doubly decoupled and highly distorted bands in Re-176-180

W.T. Chou
(
- Michigan State U., NSCL and
- Michigan State U.
)
,
W.A. Olivier
(
- Michigan State U., NSCL and
- Michigan State U.
)
,
Wm.C. McHarris
(
- Michigan State U., NSCL and
- Michigan State U.
)
,
Olaf Scholten
(
- Groningen, KVI
)

- Phys.Rev.C 42 (1990) 221-231
•
DOI:
- 10.1103/PhysRevC.42.221

[5]

Nuclear structure of 198 Au studied with (n, γ) and (d, p) reactions and interpreted with the IBFFM

et al.

- Nucl.Phys.A 492 (1989) 1-22
•
DOI:
- 10.1016/0375-9474(89)90506-X

[6]

Evidence for the Existence of Supersymmetry in Atomic Nuclei

A. Metz
(
- Munich U. and
- Fribourg U.
)
,
J. Jolie
(
- Fribourg U.
)
,
G. Graw
(
- Munich U.
)
,
R. Hertenberger
(
- Munich U.
)
,
J. Groger
(
- Bonn U.
)

et al.

- Phys.Rev.Lett. 83 (1999) 1542-1545
•
DOI:
- 10.1103/PhysRevLett.83.1542

[7]

A New look at nuclear supersymmetry though transfer experiments

J. Barea
(
- Mexico U., ICN
)
,
R. Bijker
(
- Mexico U., ICN
)
,
A. Frank
(
- Mexico U., ICN and
- Mexico U., Cuernavaca
)

- J.Phys.A 37 (2004) 10251-10260
•
e-Print:
- nucl-th/0402059
•
DOI:
- 10.1088/0305-4470/37/43/015

[8]

Two-nucleon transfer reactions uphold supersymmetry in atomic nuclei

- Phys.Rev.Lett. 94 (2005) 152501
•
e-Print:
- nucl-th/0412090
•
DOI:
- 10.1103/PhysRevLett.94.152501

[9]

Transfer and neutron capture reactions to Ir-194 as a test of Unu (6/12) X Upi (6/4) supersymmetry

M. Balodis
(
- Latvia U.
)
,
H.-F. Wirth
(
- Munich U. and
- Munich, Tech. U.
)
,
G. Graw
(
- Munich U.
)
,
R. Hertenberger
(
- Munich U.
)
,
J. Berzins
(
- Latvia U.
)

et al.

- Phys.Rev.C 77 (2008) 064602
•
DOI:
- 10.1103/PhysRevC.77.064602

[10]

New supersymmetric quartet of nuclei in the A ~ 190 mass region

et al.

- Phys.Rev.C 79 (2009) 031304
•
e-Print:
- 0811.4671
•
DOI:
- 10.1103/PhysRevC.79.031304

[11]

V. Lopac
,
S. Brant
,
V. Paar
,
O.W.B. Schult
,
H. Seyfarth

et al.

- Z.Phys.A 323 (1986) 491
•
DOI:
- 10.1007/BF01313533

[12]

High spin states of odd-odd nuclei in the interacting boson-fermion-fermion model

- Phys.Lett.B 185 (1987) 254-258
•
DOI:
- 10.1016/0370-2693(87)90995-6

[13]

S. Brant
,
V. Paar

- Z.Phys.A 329 (1988) 151
•
DOI:
- 10.1007/BF01283770

[14]

Two neutrino double- $\beta$ decay in the interacting boson-fermion model

- PTEP 2013 (2013) 043D01
•
e-Print:
- 1301.7172
•
DOI:
- 10.1093/ptep/ptt007

[15]

Structure of odd-odd Cs isotopes within the interacting boson-fermion-fermion model based on the Gogny-D1M energy density functional

- Phys.Rev.C 101 (2020) 1, 014306
•
e-Print:
- 1908.03322
•
DOI:
- 10.1103/PhysRevC.101.014306

[16]

The NUMEN project: NUclear Matrix Elements for Neutrinoless double beta decay

F. Cappuzzello
(
- Catania U. and
- INFN, LNS
)
,
C. Agodi
(
- INFN, LNS
)
,
M. Cavallaro
(
- INFN, LNS
)
,
D. Carbone
(
- INFN, LNS
)
,
S. Tudisco
(
- INFN, LNS
)

et al.

- Eur.Phys.J.A 54 (2018) 5, 72
•
e-Print:
- 1811.08693
•
DOI:
- 10.1140/epja/i2018-12509-3

[17]

Heavy Ions Double Charge Exchange reactions: towards the $0\nu \beta \beta$ Nuclear Matrix Element determination

C. Agodi
(
- INFN, LNS
)
,
F. Cappuzzello
(
- INFN, LNS and
- Catania U.
)
,
M. Cavallaro
(
- INFN, LNS
)
,
M. Bondì
(
- INFN, LNS and
- Catania U.
)
,
D. Carbone
(
- INFN, LNS
)

et al.

- Nucl.Part.Phys.Proc. 265-266 (2015) 28-30
•
DOI:
- 10.1016/j.nuclphysbps.2015.06.007

[18]

Analysis of two-nucleon transfer reactions in the $^{20}\mathrm{Ne}+^{116}\mathrm{Cd}$ system at 306 MeV

NUMEN

Collaboration

•

D. Carbone
(
- INFN, LNS
)

et al.

- Phys.Rev.C 102 (2020) 4, 044606
•
e-Print:
- 2110.10634
•
DOI:
- 10.1103/PhysRevC.102.044606

[19]

A calculation of low-lying collective states in odd-even nuclei

- Phys.Lett.B 144 (1984) 141-144
•
DOI:
- 10.1016/0370-2693(84)91790-8

[20]

Description of the odd-even xenon and cesium isotopes in the proton-neutron interacting boson-fermion model

- Nucl.Phys.A 445 (1985) 333-349
•
DOI:
- 10.1016/0375-9474(85)90073-9

[21]

O. Scholten

- Prog.Part.Nucl.Phys. 14 (1985) 189
•
DOI:
- 10.1016/0146-6410(85)90054-7

[22]

Neutrinoless double-positron decay and positron-emitting electron capture in the interacting boson model

- Phys.Rev.C 87 (2013) 5, 057301
•
e-Print:
- 1509.05157
•
DOI:
- 10.1103/PhysRevC.87.057301

[23]

(, Cambridge, )

F. Iachello
,
A. Arima

[24]

Nuclear Data Sheets for A = 116

Jean Blachot

- Nucl.Data Sheets 111 (2010) 717-895
•
DOI:
- 10.1016/j.nds.2010.03.002

[25]

Neutrinoless double-beta decay in the microscopic interacting boson model

J. Barea
(
- Yale U.
)
,
F. Iachello
(
- Yale U.
)

- Phys.Rev.C 79 (2009) 044301
•
DOI:
- 10.1103/PhysRevC.79.044301

1-25 of 35
1
2
25 / page