Experimental study of the rearrangements of valence protons and neutrons amongst single-particle orbits during double- β decay in Mo100

Freeman, S. J.; Sharp, D. K.; McAllister, S. A.; Kay, B. P.; Deibel, C. M.; Faestermann, T.; Hertenberger, R.; Mitchell, A. J.; Schiffer, J. P.; Szwec, S. V.; Thomas, J. S.; Wirth, H. -F.

doi:10.1103/PhysRevC.96.054325

Title: Experimental study of the rearrangements of valence protons and neutrons amongst single-particle orbits during double- $β$ decay in ${}^{100}{Mo}$

Abstract

The rearrangements of protons and neutrons amongst the valence single-particle orbitals during double-beta decay of Mo-100 have been determined by measuring cross sections in (d, p), (p, d), (He-3, a), and (He-3, d) reactions on Mo-98,Mo-100 and Ru-100,Ru-102 targets. The deduced nucleon occupancies reveal significant discrepancies when compared with theoretical calculations; the same calculations have previously been used to determine the nuclear matrix element associated with the decay probability of double-beta decay of the Mo-100 system.

Authors:

Freeman, S. J. ^[1]; Sharp, D. K. ^[1]; McAllister, S. A. ^[1]; Kay, B. P.; Deibel, C. M.; Faestermann, T.; Hertenberger, R.; Mitchell, A. J. ^[1]; Schiffer, J. P.; Szwec, S. V. ^[1]; Thomas, J. S. ^[1]; Wirth, H. -F.

Univ. of Manchester (United Kingdom)

Publication Date:: Mon Nov 27 00:00:00 EST 2017

Research Org.:: Argonne National Lab. (ANL), Argonne, IL (United States)

Sponsoring Org.:: National Science Foundation (NSF); USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1426764

Alternate Identifier(s):: OSTI ID: 1410393

Grant/Contract Number:: AC02-06CH11357

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C

Additional Journal Information:: Journal Volume: 96; Journal Issue: 5; Journal ID: ISSN 2469-9985

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 74 ATOMIC AND MOLECULAR PHYSICS

Citation Formats


                    Freeman, S. J., Sharp, D. K., McAllister, S. A., Kay, B. P., Deibel, C. M., Faestermann, T., Hertenberger, R., Mitchell, A. J., Schiffer, J. P., Szwec, S. V., Thomas, J. S., and Wirth, H. -F. Experimental study of the rearrangements of valence protons and neutrons amongst single-particle orbits during double- β decay in Mo100.  United States: N. p., 2017. 
Web.  doi:10.1103/PhysRevC.96.054325.

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                    Freeman, S. J., Sharp, D. K., McAllister, S. A., Kay, B. P., Deibel, C. M., Faestermann, T., Hertenberger, R., Mitchell, A. J., Schiffer, J. P., Szwec, S. V., Thomas, J. S., & Wirth, H. -F. Experimental study of the rearrangements of valence protons and neutrons amongst single-particle orbits during double- β decay in Mo100.  United States.  https://doi.org/10.1103/PhysRevC.96.054325

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                    Freeman, S. J., Sharp, D. K., McAllister, S. A., Kay, B. P., Deibel, C. M., Faestermann, T., Hertenberger, R., Mitchell, A. J., Schiffer, J. P., Szwec, S. V., Thomas, J. S., and Wirth, H. -F. Mon .  
"Experimental study of the rearrangements of valence protons and neutrons amongst single-particle orbits during double- β decay in Mo100".  United States.  https://doi.org/10.1103/PhysRevC.96.054325.  https://www.osti.gov/servlets/purl/1426764.

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@article{osti_1426764,

  title        = {Experimental study of the rearrangements of valence protons and neutrons amongst single-particle orbits during double- β decay in Mo100},

  author       = {Freeman, S. J. and Sharp, D. K. and McAllister, S. A. and Kay, B. P. and Deibel, C. M. and Faestermann, T. and Hertenberger, R. and Mitchell, A. J. and Schiffer, J. P. and Szwec, S. V. and Thomas, J. S. and Wirth, H. -F.},

  abstractNote = {The rearrangements of protons and neutrons amongst the valence single-particle orbitals during double-beta decay of Mo-100 have been determined by measuring cross sections in (d, p), (p, d), (He-3, a), and (He-3, d) reactions on Mo-98,Mo-100 and Ru-100,Ru-102 targets. The deduced nucleon occupancies reveal significant discrepancies when compared with theoretical calculations; the same calculations have previously been used to determine the nuclear matrix element associated with the decay probability of double-beta decay of the Mo-100 system.},

  doi          = {10.1103/PhysRevC.96.054325},

  journal      = {Physical Review C},

  number       = 5,

  volume       = 96,

  place        = {United States},

  year         = {Mon Nov 27 00:00:00 EST 2017},

  month        = {Mon Nov 27 00:00:00 EST 2017}

}

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Determination of the direct double- $β$ -decay $Q$ value of ${}_{96}{Zr}$ and atomic masses of ${}_{90 - 92, 94, 96}{Zr}$ and ${}_{92, 94 - 98, 100}{Mo}$

Journal Article Gulyuz, K. ; Ariche, J. ; Bollen, G. ; ... - Physical Review. C. Nuclear Physics

Experimental searches for neutrinoless double-β decay offer one of the best opportunities to look for physics beyond the standard model. Detecting this decay would confirm the Majorana nature of the neutrino, and a measurement of its half-life can be used to determine the absolute neutrino mass scale. Important to both tasks is an accurate knowledge of the Q value of the double-β decay. The LEBIT Penning trap mass spectrometer was used for the first direct experimental determination of the ⁹⁶Zr double-β decay Q value: Q_ββ=3355.85(15) keV. This value is nearly 7 keV larger than the 2012 Atomic Mass Evaluation [M.more »« less
Cited by 31
https://doi.org/10.1103/PhysRevC.91.055501
Rearrangement of valence neutrons in the neutrinoless double- $β$ decay of ${}^{136}{Xe}$

Journal Article Szwec, S. V. ; Kay, B. P. ; Cocolios, T. E. ; ... - Physical Review C

Here, a quantitative description of the change in ground-state neutron occupancies between ¹³⁶Xe and ¹³⁶Ba, the initial and final state in the neutrinoless double-β decay of ¹³⁶Xe, has been extracted from precision measurements of the cross sections of single-neutron-adding and -removing reactions. Comparisons are made to recent theoretical calculations of the same properties using various nuclear-structure models. These are the same calculations used to determine the magnitude of the nuclear matrix elements for the process, which at present disagree with each other by factors of 2 or 3. The experimental neutron occupancies show some disagreement with the theoretical calculations.
Cited by 16
https://doi.org/10.1103/PhysRevC.94.054314

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Title: Experimental study of the rearrangements of valence protons and neutrons amongst single-particle orbits during double- β decay in Mo 100

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Valence neutron properties relevant to the neutrinoless double- β decay of 130 Te journal, January 2013

Occupancies of individual orbits, and the nuclear matrix element of the Ge 76 neutrinoless β β decay journal, October 2009

High resolution spectroscopy of 102Ru(d, p)103Ru and 104Ru(p, d)103Ru reactions journal, April 1982

Occupation probabilities of single particle levels using the microscopic interacting boson model: Application to some nuclei of interest in neutrinoless double- β decay journal, September 2016

Level structure of 99Tc by inelastic scattering and proton stripping journal, October 1977

Search for Low-spin Negative Parity States in 97 Mo and 99 Mo journal, November 1975

Accurate nucleon-nucleon potential with charge-independence breaking journal, January 1995

Global deuteron optical model potential for the energy range up to 183 MeV journal, May 2006

The role of triaxiality in the ground states of even-even neutron-rich Ru isotopes journal, September 1994

Results of the search for neutrinoless double- β decay in Mo 100 with the NEMO-3 experiment journal, October 2015

Nuclear charge radii of molybdenum fission fragments journal, April 2009

Enriched Zn $$^{100}$$ 100 MoO $$_4$$ 4 scintillating bolometers to search for $$0\nu 2\beta $$ 0 ν 2 β decay of $$^{100}$$ 100 Mo with the LUMINEU experiment journal, October 2014

Gamma de-excitation of fission fragments journal, March 1965

Level spectra, electromagnetic moments and transition rates and spectroscopic factors for odd rhodium isotopes in the coriolis coupling model journal, November 1989

Opening of the Z=40 subshell gap and the double-beta decay of 100Mo journal, March 2002

Single and double beta decays in the , and triplets of isobars journal, April 2014

Lifetime measurements and nuclear deformation in the A ≈ 100 region journal, July 2012

Nuclear Data Sheets for A = 99 journal, February 2011

Proton hole states of Nb 9 5 , 9 7 , 9 9 journal, August 1974

Spectroscopy of Mo 101 by Sub-Coulomb Stripping journal, September 1972

100Mo()99Mo reaction at 21 MeV and direct reaction analysis of the low-lying continuum spectrum journal, February 2003

The 102 Ru(p,d) 101 Ru reaction at 26.3 MeV journal, August 1986

The multipole element of the Q3D spectrograph for correction of the kinematic broadening journal, July 1976

Neutron-spectroscopic strength in Ru isotopes journal, August 1994

Determination of the spins and parities of low-lying states in Mo 99 by means of the Mo 100 ( d → , t ) Mo 99 and Mo 98 ( d → , p ) Mo 99 reactions journal, September 1982

Nuclear structure and double beta decay journal, November 2012

Constraining the 0ν2β matrix elements by nuclear structure observables journal, November 2012

Neutron pair correlations in A = 100 nuclei involved in neutrinoless double- β decay journal, October 2012

States in95Mo and99Mo populated in the (3He, ?) reaction journal, March 1975

Search for neutrinoless double-beta decay of Mo 100 with the NEMO-3 detector journal, June 2014

Change of nuclear configurations in the neutrinoless double- β decay of Te 130 → Xe 130 and Xe 136 → Ba 136 journal, June 2016

AMoRE experiment: a search for neutrinoless double beta decay of 100 Mo isotope with 40 Ca 100 MoO 4 cryogenic scintillation detector journal, July 2012

0 ν β β nuclear matrix elements and the occupancy of individual orbits journal, January 2009

Nuclear-Structure Studies in Mo and Nb Isotopes via Stripping Reactions at 12 MeV journal, August 1969

Mo 98 ( p , d ) Mo 97 reaction and core coupling in Mo 97 and Nb 97 journal, August 1975

Proton stripping reactions populating levels in 95,97,101 Tc journal, September 1975

Quasiparticle random phase approximation analysis of the double beta decay of Mo 100 to the ground state and excited states of Ru 100 journal, June 1994

Some evidence for neutron pick-up from the interior core through the (p, d) reaction journal, April 1972

States in 97, 101Ru observed in the reactions 96,100Ru(d, p) journal, January 1977

Single particle strengths in 103 Ru with the 102 Ru ( d , p ) reaction journal, November 1998

Core coupling in Nb 99 journal, April 1974

Rearrangement of valence neutrons in the neutrinoless double- β decay of Xe 136 journal, November 2016

Nuclear Data Sheets for A = 97 journal, March 2010

Nuclear Structure Relevant to Neutrinoless Double β Decay: Ge 76 and Se 76 journal, March 2008

Local and global nucleon optical models from 1 keV to 200 MeV journal, January 2003

Phase space factors for β + β + decay and competing modes of double- β decay journal, February 2013

Nuclear structure relevant to neutrinoless double β decay: The valence protons in Ge 76 and Se 76 journal, February 2009

Test of Sum Rules in Nucleon Transfer Reactions journal, January 2012

Stripping Reactions and the Structure of Light and Intermediate Nuclei journal, July 1960

Ru 1 0 3 , 1 0 5 States Observed in the Reactions Ru 1 0 2 , 104 ( d , p ) journal, January 1971

What can we learn from neutrinoless double beta decay experiments? journal, August 2004

Low-lying states in 97 Mo and 101 Mo by (t, d) and (d, p) reactions on the neighbouring molybdenum isotopes journal, November 1990

Study of the reactions journal, November 1975

Spectroscopic studies in the A = 90 mass region (II) neutron hole states in N = 49 nuclei journal, July 1969

Neutron hole states of Mo 99 journal, December 1975

Quantum Monte Carlo calculations of spectroscopic overlaps in A ⩽ 7 nuclei journal, August 2011

Global optical model potential for A = 3 projectiles journal, February 2009

Quenching of Cross Sections in Nucleon Transfer Reactions journal, July 2013

Systematics of l = 5 (d,p) transitions in nuclei with 89 ⩽ A ⩽ 101 journal, October 1969

Nuclear Structure Studies in the Molybdenum Isotopes with ( d , p ) and ( d , t ) Reactions journal, August 1964

Proton hole states in Y 95 and Nb 9 5 , 9 7 , 9 9 journal, August 1983

Excitation functions for the (d, p) reactions on 96Ru, 102Ru and 104Ru journal, May 1969

Nuclear Data Sheets for A = 103 journal, September 2009

Low-lying states in99Tc populated by (3He,d) reaction in98Mo journal, June 1977

The 1 g 9/2 Neutron State in Nuclei with Neutron Numbers between 52 and 82 journal, December 1973

Level structure of Ru 101 from the Ru 100 ( d , p ) reaction journal, August 1988

Gamma de-excitation of fission fragments journal, December 1964

Nuclear Data Sheets for A = 103 journal, November 1974

Nuclear structure and double beta decay journal, January 1998

Nuclear Structure and Double beta Decay conference, January 2012

Quenching of Cross Sections in Nucleon Transfer Reactions preprint, January 2013

An accurate nucleon-nucleon potential with charge-independence breaking text, January 1994

Charge-exchange reactions and the quest for resolution journal, October 2018

Title: Experimental study of the rearrangements of valence protons and neutrons amongst single-particle orbits during double- $β$ decay in ${}^{100}{Mo}$

Valence neutron properties relevant to the neutrinoless double- $β$ decay of $^{130}$ Te
journal, January 2013

Occupancies of individual orbits, and the nuclear matrix element of the ${}^{76}{Ge}$ neutrinoless $β β$ decay
journal, October 2009

High resolution spectroscopy of 102Ru(d, p)103Ru and 104Ru(p, d)103Ru reactions
journal, April 1982

Occupation probabilities of single particle levels using the microscopic interacting boson model: Application to some nuclei of interest in neutrinoless double- $β$ decay
journal, September 2016

Level structure of 99Tc by inelastic scattering and proton stripping
journal, October 1977

Search for Low-spin Negative Parity States in ⁹⁷ Mo and ⁹⁹ Mo
journal, November 1975

Accurate nucleon-nucleon potential with charge-independence breaking
journal, January 1995

Global deuteron optical model potential for the energy range up to 183 MeV
journal, May 2006

The role of triaxiality in the ground states of even-even neutron-rich Ru isotopes
journal, September 1994

Results of the search for neutrinoless double- $β$ decay in ${}^{100}{Mo}$ with the NEMO-3 experiment
journal, October 2015

Nuclear charge radii of molybdenum fission fragments
journal, April 2009

Enriched Zn $$^{100}$$ 100 MoO $$_4$$ 4 scintillating bolometers to search for $$0\nu 2\beta $$ 0 ν 2 β decay of $$^{100}$$ 100 Mo with the LUMINEU experiment
journal, October 2014

Gamma de-excitation of fission fragments
journal, March 1965

Level spectra, electromagnetic moments and transition rates and spectroscopic factors for odd rhodium isotopes in the coriolis coupling model
journal, November 1989

Opening of the Z=40 subshell gap and the double-beta decay of 100Mo
journal, March 2002

Single and double beta decays in the , and triplets of isobars
journal, April 2014

Lifetime measurements and nuclear deformation in the $A \approx 100$ region
journal, July 2012

Nuclear Data Sheets for A = 99
journal, February 2011

Proton hole states of ${}^{95, 97, 99}{Nb}$
journal, August 1974

Spectroscopy of ${}^{101}{Mo}$ by Sub-Coulomb Stripping
journal, September 1972

100Mo()99Mo reaction at 21 MeV and direct reaction analysis of the low-lying continuum spectrum
journal, February 2003

The ¹⁰² Ru(p,d) ¹⁰¹ Ru reaction at 26.3 MeV
journal, August 1986

The multipole element of the Q3D spectrograph for correction of the kinematic broadening
journal, July 1976

Neutron-spectroscopic strength in Ru isotopes
journal, August 1994

Determination of the spins and parities of low-lying states in ${}^{99}{Mo}$ by means of the ${}^{100}{Mo} (\vec{d}, t) {}^{99}{Mo}$ and ${}^{98}{Mo} (\vec{d}, p) {}^{99}{Mo}$ reactions
journal, September 1982

Nuclear structure and double beta decay
journal, November 2012

Constraining the 0ν2β matrix elements by nuclear structure observables
journal, November 2012

Neutron pair correlations in $A = 100$ nuclei involved in neutrinoless double- $β$ decay
journal, October 2012

States in95Mo and99Mo populated in the (3He, ?) reaction
journal, March 1975

Search for neutrinoless double-beta decay of ${}^{100}{Mo}$ with the NEMO-3 detector
journal, June 2014

Change of nuclear configurations in the neutrinoless double- $β$ decay of ${}^{130}{Te} \to {}^{130}{Xe}$ and ${}^{136}{Xe} \to {}^{136}{Ba}$
journal, June 2016

AMoRE experiment: a search for neutrinoless double beta decay of ¹⁰⁰ Mo isotope with ⁴⁰ Ca ¹⁰⁰ MoO ₄ cryogenic scintillation detector
journal, July 2012

$0 ν β β$ nuclear matrix elements and the occupancy of individual orbits
journal, January 2009

Nuclear-Structure Studies in Mo and Nb Isotopes via Stripping Reactions at 12 MeV
journal, August 1969

${}^{98}{Mo} (p, d) {}^{97}{Mo}$ reaction and core coupling in ${}^{97}{Mo}$ and ${}^{97}{Nb}$
journal, August 1975

Proton stripping reactions populating levels in ^95,97,101 Tc
journal, September 1975

Quasiparticle random phase approximation analysis of the double beta decay of ${}^{100}{Mo}$ to the ground state and excited states of ${}^{100}{Ru}$
journal, June 1994

Some evidence for neutron pick-up from the interior core through the (p, d) reaction
journal, April 1972

States in 97, 101Ru observed in the reactions 96,100Ru(d, p)
journal, January 1977

Single particle strengths in $^{103} Ru$ with the $^{102} Ru (d, p)$ reaction
journal, November 1998

Core coupling in ${}^{99}{Nb}$
journal, April 1974

Rearrangement of valence neutrons in the neutrinoless double- $β$ decay of ${}^{136}{Xe}$
journal, November 2016

Nuclear Data Sheets for A = 97
journal, March 2010

Nuclear Structure Relevant to Neutrinoless Double $β$ Decay: ${}^{76}{Ge}$ and ${}^{76}{Se}$
journal, March 2008

Local and global nucleon optical models from 1 keV to 200 MeV
journal, January 2003

Phase space factors for $β^{+} β^{+}$ decay and competing modes of double- $β$ decay
journal, February 2013

Nuclear structure relevant to neutrinoless double $β$ decay: The valence protons in ${}^{76}{Ge}$ and ${}^{76}{Se}$
journal, February 2009

Test of Sum Rules in Nucleon Transfer Reactions
journal, January 2012

Stripping Reactions and the Structure of Light and Intermediate Nuclei
journal, July 1960

${Ru}^{103, 105}$ States Observed in the Reactions ${Ru}^{102, 104} (d, p)$
journal, January 1971

What can we learn from neutrinoless double beta decay experiments?
journal, August 2004

Low-lying states in ⁹⁷ Mo and ¹⁰¹ Mo by (t, d) and (d, p) reactions on the neighbouring molybdenum isotopes
journal, November 1990

Study of the reactions
journal, November 1975

Spectroscopic studies in the A = 90 mass region (II) neutron hole states in N = 49 nuclei
journal, July 1969

Neutron hole states of ${}^{99}{Mo}$
journal, December 1975

Quantum Monte Carlo calculations of spectroscopic overlaps in $A ⩽ 7$ nuclei
journal, August 2011

Global optical model potential for $A = 3$ projectiles
journal, February 2009

Quenching of Cross Sections in Nucleon Transfer Reactions
journal, July 2013

Systematics of l = 5 (d,p) transitions in nuclei with 89 ⩽ A ⩽ 101
journal, October 1969

Nuclear Structure Studies in the Molybdenum Isotopes with ( $d, p$ ) and ( $d, t$ ) Reactions
journal, August 1964

Proton hole states in ${}^{95}Y$ and ${}^{95, 97, 99}{Nb}$
journal, August 1983

Excitation functions for the (d, p) reactions on 96Ru, 102Ru and 104Ru
journal, May 1969

Nuclear Data Sheets for A = 103
journal, September 2009

Low-lying states in99Tc populated by (3He,d) reaction in98Mo
journal, June 1977

The 1 g _9/2 Neutron State in Nuclei with Neutron Numbers between 52 and 82
journal, December 1973

Level structure of ${}^{101}{Ru}$ from the ${}^{100}{Ru}$ ( d , p ) reaction
journal, August 1988

Gamma de-excitation of fission fragments
journal, December 1964

Nuclear Data Sheets for A = 103
journal, November 1974

Nuclear structure and double beta decay
journal, January 1998

Nuclear Structure and Double beta Decay
conference, January 2012

Quenching of Cross Sections in Nucleon Transfer Reactions
preprint, January 2013

An accurate nucleon-nucleon potential with charge-independence breaking
text, January 1994

Charge-exchange reactions and the quest for resolution
journal, October 2018