002866156 001__ 2866156 002866156 005__ 20240508065425.0 002866156 0248_ $$aoai:cds.cern.ch:2866156$$pcerncds:FULLTEXT$$pcerncds:CERN:FULLTEXT$$pcerncds:CERN 002866156 0247_ $$2DOI$$9arXiv$$a10.1103/PhysRevC.108.014308$$qpublication 002866156 037__ $$9arXiv$$aarXiv:2305.16442$$cnucl-ex 002866156 035__ $$9arXiv$$aoai:arXiv.org:2305.16442 002866156 035__ $$9Inspire$$aoai:inspirehep.net:2662989$$d2024-05-07T11:36:36Z$$h2024-05-08T02:01:08Z$$mmarcxml$$ttrue$$uhttps://inspirehep.net/api/oai2d 002866156 035__ $$9Inspire$$a2662989 002866156 041__ $$aeng 002866156 100__ $$aStryjczyk, M.$$uKU Leuven, Dept. Phys. Astron.$$uJyvaskyla U.$$vKU Leuven, Instituut voor Kern- en Stralingsfysica, Celestijnenlaan 200D, 3001 Leuven, Belgium$$vUniversity of Jyvaskyla, Department of Physics, Accelerator laboratory, P.O. Box 35, FI-40014 University of Jyvaskyla, Finland 002866156 245__ $$9APS$$aSimultaneous <math><mi>γ</mi></math>-ray and electron spectroscopy of <math><mmultiscripts><mi>Hg</mi><mprescripts/><none/><mrow><mn>182</mn><mo>,</mo><mn>184</mn><mo>,</mo><mn>186</mn></mrow></mmultiscripts></math> isotopes 002866156 260__ $$c2023-07-06 002866156 269__ $$c2023-05-25 002866156 300__ $$a20 p 002866156 520__ $$9APS$$aBackground: The mercury isotopes around <math><mrow><mi>N</mi><mo>=</mo><mn>104</mn></mrow></math> are a well-known example of nuclei exhibiting shape coexistence. Mixing of configurations can be studied by measuring the monopole strength <math><mrow><msup><mi>ρ</mi><mn>2</mn></msup><mrow><mo>(</mo><mi>E</mi><mn>0</mn><mo>)</mo></mrow></mrow></math>, however, currently the experimental information is scarce and lacks precision, especially for the <math><mrow><msup><mi>I</mi><mi>π</mi></msup><mo>→</mo><msup><mi>I</mi><mi>π</mi></msup></mrow></math> (<math><mrow><mi>I</mi><mo>≠</mo><mn>0</mn></mrow></math>) transitions. Purpose: The goals of this study were to increase the precision of the known branching ratios and internal conversion coefficients, to increase the amount of available information regarding excited states in <math><mmultiscripts><mi>Hg</mi><mprescripts/><none/><mrow><mn>182</mn><mo>,</mo><mn>184</mn><mo>,</mo><mn>186</mn></mrow></mmultiscripts></math>, and to interpret the results in the framework of shape coexistence using different models. Method: The low-energy structures in <math><mmultiscripts><mi>Hg</mi><mprescripts/><none/><mrow><mn>182</mn><mo>,</mo><mn>184</mn><mo>,</mo><mn>186</mn></mrow></mmultiscripts></math> were populated in the <math><mi>β</mi></math> decay of <math><mmultiscripts><mi>Tl</mi><mprescripts/><none/><mrow><mn>182</mn><mo>,</mo><mn>184</mn><mo>,</mo><mn>186</mn></mrow></mmultiscripts></math>, produced at ISOLDE, CERN and purified by laser ionization and mass separation. The <math><mi>γ</mi></math>-ray and internal conversion electron events were detected by five germanium clover detectors and a segmented silicon detector, respectively, and correlated in time to build decay schemes. Results: In total, 193, 178, and 156 transitions, including 144, 140, and 108 observed for the first time in a <math><mi>β</mi></math>-decay experiment, were assigned to <math><mmultiscripts><mi>Hg</mi><mprescripts/><none/><mrow><mn>182</mn><mo>,</mo><mn>184</mn><mo>,</mo><mn>186</mn></mrow></mmultiscripts></math>, respectively. Internal conversion coefficients were determined for 23 transitions, out of which 12 had an <math><mrow><mi>E</mi><mn>0</mn></mrow></math> component. Extracted branching ratios allowed the sign of the interference term in <math><mmultiscripts><mi>Hg</mi><mprescripts/><none/><mn>182</mn></mmultiscripts></math> as well as <math><mrow><msup><mi>ρ</mi><mn>2</mn></msup><mrow><mo>(</mo><mi>E</mi><mn>0</mn><mo>;</mo><msubsup><mn>0</mn><mn>2</mn><mo>+</mo></msubsup><mo>→</mo><msubsup><mn>0</mn><mn>1</mn><mo>+</mo></msubsup><mo>)</mo></mrow></mrow></math> and <math><mrow><mi>B</mi><mo>(</mo><mi>E</mi><mn>2</mn><mo>;</mo><msubsup><mn>0</mn><mn>2</mn><mo>+</mo></msubsup><mo>→</mo><msubsup><mn>2</mn><mn>1</mn><mo>+</mo></msubsup><mo>)</mo></mrow></math> in <math><mmultiscripts><mi>Hg</mi><mprescripts/><none/><mn>184</mn></mmultiscripts></math> to be determined. By means of electron-electron coincidences, the <math><msubsup><mn>0</mn><mn>3</mn><mo>+</mo></msubsup></math> state was identified in <math><mmultiscripts><mi>Hg</mi><mprescripts/><none/><mn>184</mn></mmultiscripts></math>. The experimental results were qualitatively reproduced by five theoretical approaches, the interacting boson model with configuration mixing with two different parametrizations, the general Bohr Hamiltonian, the beyond mean-field model, and the symmetry-conserving configuration-mixing model. However, a quantitative description is lacking. Conclusions: The presence of shape coexistence in neutron-deficient mercury isotopes was confirmed and evidence for the phenomenon existing at higher energies was found. The new experimental results provide important spectroscopic input for future Coulomb excitation studies. 002866156 520__ $$9arXiv$$aBackground: The mercury isotopes around $N=104$ are a well-known example of nuclei exhibiting shape coexistence. Mixing of configurations can be studied by measuring the monopole strength $\rho^2(E0)$, however, currently the experimental information is scarce and lacks precision, especially for the $I^\pi \rightarrow I^\pi$ ($I \neq 0$) transitions. Purpose: The goals of this study were to increase the precision of the known branching ratios and internal conversion coefficients, to increase the amount of available information regarding excited states in $^{182,184,186}$Hg and to interpret the results in the framework of shape coexistence using different models. Method: The low-energy structures in $^{182,184,186}$Hg were populated in the $\beta$ decay of $^{182,184,186}$Tl, produced at ISOLDE and purified by laser ionization and mass separation. The $\gamma$-ray and internal conversion electron events were detected by five germanium clover detectors and a segmented silicon detector, respectively, and correlated in time to build decay schemes. Results: In total, 193, 178 and 156 transitions, including 144, 140 and 108 observed for the first time in a $\beta$-decay experiment, were assigned to $^{182,184,186}$Hg, respectively. Internal conversion coefficients were determined for 23 transitions, out of which 12 had an $E0$ component. Extracted branching ratios allowed the sign of the interference term in $^{182}$Hg as well as $\rho^2(E0;0^+_2\rightarrow 0^+_1)$ and $B(E2;0^+_2\rightarrow 2^+_1)$ in $^{184}$Hg to be determined. By means of electron-electron coincidences, the $0^+_3$ state was identified in $^{184}$Hg. The experimental results were qualitatively reproduced by five theoretical approaches, the IBM with configuration mixing with two different parametrizations, the General Bohr Hamiltonian, the BMF model and the SCCM model. However, a quantitative description is lacking. 002866156 540__ $$3publication$$aCC BY 4.0$$fCERN-RP: APS$$uhttps://creativecommons.org/licenses/by/4.0/ 002866156 540__ $$3preprint$$aarXiv nonexclusive-distrib 1.0$$uhttp://arxiv.org/licenses/nonexclusive-distrib/1.0/ 002866156 542__ $$3publication$$dauthors$$g2023 002866156 595__ $$cCDS 002866156 65017 $$2arXiv$$anucl-th 002866156 65017 $$2SzGeCERN$$aNuclear Physics - Theory 002866156 65017 $$2arXiv$$anucl-ex 002866156 65017 $$2SzGeCERN$$aNuclear Physics - Experiment 002866156 690C_ $$aCERN 002866156 690C_ $$aARTICLE 002866156 700__ $$aAndel, B.$$uKU Leuven, Dept. Phys. Astron.$$uComenius U.$$vKU Leuven, Instituut voor Kern- en Stralingsfysica, Celestijnenlaan 200D, 3001 Leuven, Belgium$$vDepartment of Nuclear Physics and Biophysics, Comenius University in Bratislava, 84248 Bratislava, Slovakia 002866156 700__ $$aCubiss, J.G.$$uCERN$$uYork U., England$$vISOLDE, CERN, CH-1211 Geneva 23, Switzerland$$vSchool of Physics, Engineering and Technology, University of York, York YO10 5DD, United Kingdom 002866156 700__ $$aRezynkina, K.$$uKU Leuven, Dept. Phys. Astron.$$uINFN, Padua$$vKU Leuven, Instituut voor Kern- en Stralingsfysica, Celestijnenlaan 200D, 3001 Leuven, Belgium$$vINFN Sezione di Padova, I-35131 Padova, Italy 002866156 700__ $$aRodríguez, T.R.$$uMadrid, Autonoma U.$$uMadrid U.$$vDepartamento de Física Teórica and Centro de Investigación Avanzada en Física Fundamental,Universidad Autónoma de Madrid, E-28049 Madrid, Spain$$vGrupo de Física Nuclear & IPARCOS, Universidad Complutense de Madrid, CEI Moncloa, 28040 Madrid, Spain 002866156 700__ $$aGarcía-Ramos, J.E.$$uHuelva U.$$uGranada U., Theor. Phys. Astrophys.$$vDepartamento de Ciencias Integradas y Centro de Estudios Avanzados en Física, Matemática y Computación, Universidad de Huelva, 21071 Huelva, Spain$$vInstituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Fuentenueva s/n, 18071 Granada, Spain 002866156 700__ $$aAndreyev, A.N.$$uYork U., England$$uKyushu U.$$vSchool of Physics, Engineering and Technology, University of York, York YO10 5DD, United Kingdom$$vAdvanced Science Research Center, Japan Atomic Energy Agency, Tokai-mura, Japan 002866156 700__ $$aPakarinen, J.$$uJyvaskyla U.$$uHelsinki Inst. of Phys.$$vUniversity of Jyvaskyla, Department of Physics, Accelerator laboratory, P.O. Box 35, FI-40014 University of Jyvaskyla, Finland$$vHelsinki Institute of Physics, University of Helsinki, P.O. Box 64, FI-00014 Helsinki, Finland 002866156 700__ $$aVan Duppen, P.$$uKU Leuven, Dept. Phys. Astron.$$vKU Leuven, Instituut voor Kern- en Stralingsfysica, Celestijnenlaan 200D, 3001 Leuven, Belgium 002866156 700__ $$aAntalic, S.$$uComenius U.$$vDepartment of Nuclear Physics and Biophysics, Comenius University in Bratislava, 84248 Bratislava, Slovakia 002866156 700__ $$aBerry, T.$$uSurrey U.$$vDepartment of Physics, University of Surrey, Guildford GU2 7XH, United Kingdom 002866156 700__ $$aBorge, M.J.G.$$uMadrid, Inst. Estructura Materia$$uCERN$$vInstituto de Estructura de la Materia, CSIC, Serrano 113 bis, E-28006 Madrid, Spain$$vISOLDE, CERN, CH-1211 Geneva 23, Switzerland 002866156 700__ $$aClisu, C.$$uBucharest, IFIN-HH$$v"Horia Hulubei" National Institute for Physics and Nuclear Engineering, RO-077125 Bucharest, Romania 002866156 700__ $$aCox, D.M.$$uLund U.$$vDepartment of Physics, Lund University, Lund S-22100, Sweden 002866156 700__ $$aDe Witte, H.$$uKU Leuven, Dept. Phys. Astron.$$vKU Leuven, Instituut voor Kern- en Stralingsfysica, Celestijnenlaan 200D, 3001 Leuven, Belgium 002866156 700__ $$aFraile, L.M.$$uMadrid U.$$vGrupo de Física Nuclear & IPARCOS, Universidad Complutense de Madrid, CEI Moncloa, 28040 Madrid, Spain 002866156 700__ $$aFynbo, H.O.U.$$uAarhus U.$$vDepartment of Physics and Astronomy, Aarhus University, DK-8000 Aarhus C, Denmark 002866156 700__ $$aGaffney, L.P.$$uCERN$$uLiverpool U.$$vISOLDE, CERN, CH-1211 Geneva 23, Switzerland$$vDepartment of Physics, Oliver Lodge Laboratory, University of Liverpool, Liverpool L69 7ZE, United Kingdom 002866156 700__ $$aHarkness-Brennan, L.J.$$uLiverpool U.$$vDepartment of Physics, Oliver Lodge Laboratory, University of Liverpool, Liverpool L69 7ZE, United Kingdom 002866156 700__ $$aHuyse, M.$$uKU Leuven, Dept. Phys. Astron.$$vKU Leuven, Instituut voor Kern- en Stralingsfysica, Celestijnenlaan 200D, 3001 Leuven, Belgium 002866156 700__ $$aIllana, A.$$uINFN, Legnaro$$uJyvaskyla U.$$uMadrid U.$$vIstituto Nazionale di Fisica Nucleare, Laboratori Nazionali di Legnaro, Legnaro 35020, Italy$$vUniversity of Jyvaskyla, Department of Physics, Accelerator laboratory, P.O. Box 35, FI-40014 University of Jyvaskyla, Finland$$vGrupo de Física Nuclear & IPARCOS, Universidad Complutense de Madrid, CEI Moncloa, 28040 Madrid, Spain 002866156 700__ $$aJudson, D.S.$$uLiverpool U.$$vDepartment of Physics, Oliver Lodge Laboratory, University of Liverpool, Liverpool L69 7ZE, United Kingdom 002866156 700__ $$aKonki, J.$$uCERN$$vISOLDE, CERN, CH-1211 Geneva 23, Switzerland 002866156 700__ $$aKurcewicz, J.$$uCERN$$vISOLDE, CERN, CH-1211 Geneva 23, Switzerland 002866156 700__ $$aLazarus, I.$$uDaresbury$$vSTFC Daresbury Laboratory, Daresbury, Warrington WA4 4AD, United Kingdom 002866156 700__ $$aLica, R.$$uBucharest, IFIN-HH$$uCERN$$v"Horia Hulubei" National Institute for Physics and Nuclear Engineering, RO-077125 Bucharest, Romania$$vISOLDE, CERN, CH-1211 Geneva 23, Switzerland 002866156 700__ $$aMadurga, M.$$uCERN$$uTennessee U.$$vISOLDE, CERN, CH-1211 Geneva 23, Switzerland$$vDepartment of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA 002866156 700__ $$aMarginean, N.$$uBucharest, IFIN-HH$$v"Horia Hulubei" National Institute for Physics and Nuclear Engineering, RO-077125 Bucharest, Romania 002866156 700__ $$aMarginean, R.$$uBucharest, IFIN-HH$$v"Horia Hulubei" National Institute for Physics and Nuclear Engineering, RO-077125 Bucharest, Romania 002866156 700__ $$aMihai, C.$$uBucharest, IFIN-HH$$v"Horia Hulubei" National Institute for Physics and Nuclear Engineering, RO-077125 Bucharest, Romania 002866156 700__ $$aMosat, P.$$uComenius U.$$vDepartment of Nuclear Physics and Biophysics, Comenius University in Bratislava, 84248 Bratislava, Slovakia 002866156 700__ $$aNacher, E.$$uValencia U., IFIC$$vInstituto de Física Corpuscular, CSIC - Universidad de Valencia, E-46980 Valencia, Spain 002866156 700__ $$aNegret, A.$$uBucharest, IFIN-HH$$v"Horia Hulubei" National Institute for Physics and Nuclear Engineering, RO-077125 Bucharest, Romania 002866156 700__ $$aOjala, J.$$uJyvaskyla U.$$uHelsinki Inst. of Phys.$$vUniversity of Jyvaskyla, Department of Physics, Accelerator laboratory, P.O. Box 35, FI-40014 University of Jyvaskyla, Finland$$vHelsinki Institute of Physics, University of Helsinki, P.O. Box 64, FI-00014 Helsinki, Finland 002866156 700__ $$aOvejas, J.D.$$uMadrid, Inst. Estructura Materia$$vInstituto de Estructura de la Materia, CSIC, Serrano 113 bis, E-28006 Madrid, Spain 002866156 700__ $$aPage, R.D.$$uLiverpool U.$$vDepartment of Physics, Oliver Lodge Laboratory, University of Liverpool, Liverpool L69 7ZE, United Kingdom 002866156 700__ $$aPapadakis, P.$$uLiverpool U.$$uDaresbury$$vDepartment of Physics, Oliver Lodge Laboratory, University of Liverpool, Liverpool L69 7ZE, United Kingdom$$vSTFC Daresbury Laboratory, Daresbury, Warrington WA4 4AD, United Kingdom 002866156 700__ $$aPascu, S.$$uBucharest, IFIN-HH$$v"Horia Hulubei" National Institute for Physics and Nuclear Engineering, RO-077125 Bucharest, Romania 002866156 700__ $$aPerea, A.$$uMadrid, Inst. Estructura Materia$$vInstituto de Estructura de la Materia, CSIC, Serrano 113 bis, E-28006 Madrid, Spain 002866156 700__ $$aPodolyák, Zs.$$uSurrey U.$$vDepartment of Physics, University of Surrey, Guildford GU2 7XH, United Kingdom 002866156 700__ $$aPróchniak, L.$$uWarsaw U.$$uMunich, Tech. U.$$uSilesia U.$$vHeavy Ion Laboratory, University of Warsaw, PL-02-093 Warsaw, Poland 002866156 700__ $$aPucknell, V.$$uDaresbury$$vSTFC Daresbury Laboratory, Daresbury, Warrington WA4 4AD, United Kingdom 002866156 700__ $$aRapisarda, E.$$uCERN$$vISOLDE, CERN, CH-1211 Geneva 23, Switzerland 002866156 700__ $$aRotaru, F.$$uBucharest, IFIN-HH$$v"Horia Hulubei" National Institute for Physics and Nuclear Engineering, RO-077125 Bucharest, Romania 002866156 700__ $$aSotty, C.$$uBucharest, IFIN-HH$$v"Horia Hulubei" National Institute for Physics and Nuclear Engineering, RO-077125 Bucharest, Romania 002866156 700__ $$aTengblad, O.$$uMadrid, Inst. Estructura Materia$$vInstituto de Estructura de la Materia, CSIC, Serrano 113 bis, E-28006 Madrid, Spain 002866156 700__ $$aVedia, V.$$uMadrid U.$$vGrupo de Física Nuclear & IPARCOS, Universidad Complutense de Madrid, CEI Moncloa, 28040 Madrid, Spain 002866156 700__ $$aViñals, S.$$uMadrid, Inst. Estructura Materia$$vInstituto de Estructura de la Materia, CSIC, Serrano 113 bis, E-28006 Madrid, Spain 002866156 700__ $$aWadsworth, R.$$uYork U., England$$vSchool of Physics, Engineering and Technology, University of York, York YO10 5DD, United Kingdom 002866156 700__ $$aWarr, N.$$uCologne U.$$vInstitut für Kernphysik, Universität zu Köln, 50937 Köln, Germany 002866156 700__ $$aWrzosek-Lipska, K.$$uWarsaw U.$$uMunich, Tech. U.$$uSilesia U.$$vHeavy Ion Laboratory, University of Warsaw, PL-02-093 Warsaw, Poland 002866156 710__ $$gIDS Collaboration 002866156 773__ $$c014308$$mpublication$$n1$$pPhys. Rev. C$$v108$$xPhys. Rev. C 108, 014308 (2023)$$y2023 002866156 8564_ $$82466129$$s1888941$$uhttp://cds.cern.ch/record/2866156/files/Publication.pdf$$yFulltext 002866156 8564_ $$82466130$$s11800$$uhttp://cds.cern.ch/record/2866156/files/216K.png$$y00023 $\gamma$-ray (top) and electron (bottom) energy spectra gated on the 406-keV ($2^+_1 \rightarrow 0^+_1$) $\gamma$ ray in $^{186}$Hg. 002866156 8564_ $$82466131$$s58966$$uhttp://cds.cern.ch/record/2866156/files/182Hg_184Hg_186Hg_projections_h.png$$y00027 The energy curves as a function of the deformation parameter $\beta_2$ obtained within the SCCM calculations for (a) $^{182}$Hg, (b) $^{184}$Hg and (c) $^{186}$Hg, after particle-number projection (PN-VAP method, dashed lines) and angular momentum projection (PNAMP method, continuous lines). 002866156 8564_ $$82466132$$s13244$$uhttp://cds.cern.ch/record/2866156/files/ee.png$$y00013 Portion of the electron energy spectrum gated on the K-ICE of the 375-keV $0^+_2 \rightarrow 0^+_1$ transition in $^{184}$Hg. The observed peaks are labeled by the energy of the transition they are originate from. Inset: portion of the $\gamma$-ray energy spectrum gated on the K-ICE of the 375-keV $0^+_2 \rightarrow 0^+_1$ transition with the position of the non-observed 749-keV $\gamma$ ray indicated with a shaded area. 002866156 8564_ $$82466133$$s16451$$uhttp://cds.cern.ch/record/2866156/files/184Hg_ge.png$$y00011 Portion of the $\gamma$-ray energy spectrum gated on the 375-keV ($0^+_2 \rightarrow 0^+_1$) K-ICE in $^{184}$Hg. The negative peaks are stemming from the background subtraction. Main coincident lines are labeled by the energy given in keV. 002866156 8564_ $$82466134$$s43686$$uhttp://cds.cern.ch/record/2866156/files/expvsthHg.png$$y00028 Comparison of the experimental energies of the selected excited states in $^{182,184,186}$Hg with the theoretical calculations. The dashed lines, provided to guide the eye, are connecting the states of the same spin and order. 002866156 8564_ $$82466135$$s12875$$uhttp://cds.cern.ch/record/2866156/files/184Hg_gg.png$$y00010 Portion of the $\gamma$-ray energy spectrum gated on the 367-keV ($2^+_1 \rightarrow 0^+_1$) $\gamma$-ray transition in $^{184}$Hg. The most prominent lines have been labeled with the transition energy in keV. 002866156 8564_ $$82466136$$s11517$$uhttp://cds.cern.ch/record/2866156/files/214K.png$$y00017 $\gamma$-ray (top) and electron (bottom) energy spectra gated on the 720-keV ($4^+_2 \rightarrow 2^+_1$) $\gamma$ ray in $^{184}$Hg. A position of the non-observed 214-keV $\gamma$ ray is indicated with a shaded area. 002866156 8564_ $$82466137$$s34414$$uhttp://cds.cern.ch/record/2866156/files/182Hg_184Hg_186Hg_wf_sccm_h.png$$y00029 Collective wave functions from the SCCM calculations for (a) $^{182}$Hg, (b) $^{184}$Hg and (c) $^{186}$Hg. The first, second and third states of each spin are plotted in full, short-dashed and dashed lines, respectively. 002866156 8564_ $$82466138$$s61389$$uhttp://cds.cern.ch/record/2866156/files/186Hg_small_topaper.png$$y00020 Partial level scheme of excited states in $^{186}$Hg populated in the $\beta$ decay of $^{186}$Tl extracted in this work. For the full version, see Supplemental Material \cite{supplemental}. Levels and transitions known from the previous $\beta$-decay studies are plotted in black, shifted in the decay scheme in blue, known from other studies in green and newly identified in red. Transitions not observed in this work for which the intensity limits have been determined are plotted with dashed lines. Spins, parities and proposed transition multipolarities are taken from this work and Ref. \cite{Batchelder2022}. 002866156 8564_ $$82466139$$s9362$$uhttp://cds.cern.ch/record/2866156/files/12pto10p.png$$y00022 Portion of the $\gamma$-ray energy spectrum gated on the 542-keV $12^+_1 \rightarrow 10^+_1$ $\gamma$ ray in $^{186}$Hg. The yrast transitions and the 511-keV annihilation peak are labeled by the energy given in keV. 002866156 8564_ $$82466140$$s12600$$uhttp://cds.cern.ch/record/2866156/files/186Hg_gg.png$$y00018 Portion of the $\gamma$-ray energy spectrum gated on the 403-keV ($4^+_1 \rightarrow 2^+_1$) and 406-keV ($2^+_1 \rightarrow 0^+_1$) $\gamma$-ray transitions in $^{186}$Hg. The most prominent lines have been labeled with the transition energy in keV. 002866156 8564_ $$82466141$$s12330$$uhttp://cds.cern.ch/record/2866156/files/186Hg_ge.png$$y00019 Portion of the $\gamma$-ray energy spectrum gated on the 524-keV ($0^+_2 \rightarrow 0^+_1$) K-ICE in $^{186}$Hg. Main coincident lines are labeled by the energy given in keV. 002866156 8564_ $$82466142$$s26670$$uhttp://cds.cern.ch/record/2866156/files/184Hg_small_topaper.png$$y00012 Partial level scheme of excited states in $^{184}$Hg populated in the $\beta$ decay of $^{184}$Tl extracted in this work. For the full version, see Supplemental Material \cite{supplemental}. Levels and transitions known from the previous $\beta$-decay studies are plotted in black, known from other studies in green and the newly identified ones in red. Transitions not observed in this work for which the intensity limits have been determined are plotted with dashed lines. Spins, parities and proposed transition multipolarities are taken from this work and Refs. \cite{Baglin2010,Rapisarda2017}. 002866156 8564_ $$82466143$$s13258$$uhttp://cds.cern.ch/record/2866156/files/feedingto548.png$$y00004 $\gamma$-ray (top) and electron (bottom) energy spectra gated on the 526-, 576-, 748- and 1171-keV $\gamma$-ray transitions feeding the $2^+_2$ state in $^{182}$Hg. The peaks of interest are labeled by the energy given in keV. 002866156 8564_ $$82466144$$s11710$$uhttp://cds.cern.ch/record/2866156/files/242K.png$$y00025 $\gamma$-ray (top) and electron (bottom) energy spectra gated on the 811-keV ($8^+_2 \rightarrow 6^+_1$) $\gamma$ ray in $^{186}$Hg. The position of the non-observed K-ICE from the 242-keV transition is indicated with a shaded area. 002866156 8564_ $$82466145$$s21738$$uhttp://cds.cern.ch/record/2866156/files/gefit_335_351.png$$y00003 A fit (black solid line) to the portion of the electron energy spectrum spectrum, gated on the 723- and 773-keV $\gamma$ rays in $^{182}$Hg. The visible peaks stem from the K-ICE of the 335-keV ($0^+_2 \rightarrow 0^+_1$) and 351-keV ($2^+_1 \rightarrow 0^+_1$) transitions. The contribution from asymmetric Gaussian functions is plotted in solid red lines and the constant background in dashed purple line. 002866156 8564_ $$82466146$$s16986$$uhttp://cds.cern.ch/record/2866156/files/535keV.png$$y00016 $\gamma$-ray (top) and electron (bottom) energy spectra gated on the 535-keV ($2^+_2 \rightarrow 0^+_1$) $\gamma$-ray in $^{184}$Hg. The main $\gamma$-ray peaks are labeled with the energy given in keV. The position of the non-observed 449-keV $\gamma$ ray is indicated with a shaded area. 002866156 8564_ $$82466147$$s8915$$uhttp://cds.cern.ch/record/2866156/files/imbalance.png$$y00015 Portion of the $\gamma$-ray energy spectrum gated on the $\gamma$ rays feeding the 535-keV state in $^{184}$Hg, used to determine the total ICC of the 168-keV $2^+_2 \rightarrow 2^+_1$ transition by the imbalance method, see text for details. Main peaks are labeled by the energy given in keV. 002866156 8564_ $$82466148$$s11676$$uhttp://cds.cern.ch/record/2866156/files/211K.png$$y00007 $\gamma$-ray (top) and electron (bottom) energy spectra gated on the 1156-keV $\gamma$ ray in $^{182}$Hg. The position of the non-observed 211-keV $\gamma$ ray is indicated with a shaded area. 002866156 8564_ $$82466149$$s12906$$uhttp://cds.cern.ch/record/2866156/files/182Hg_gg.png$$y00001 Portion of the $\gamma$-ray energy spectrum gated on the 351-keV ($2^+_1 \rightarrow 0^+_1$) $\gamma$-ray transition in $^{182}$Hg. The most prominent lines have been labeled with the transition energy in keV. 002866156 8564_ $$82466150$$s10276$$uhttp://cds.cern.ch/record/2866156/files/184Hg_e.png$$y00009 Portion of the electron singles energy spectrum collected with the $^{184}$Tl beam. The electron lines associated with $^{184}$Hg have been marked with the transition energy and corresponding atomic orbital, whereas transitions arising from the $A=184$ decay chain are marked with the nucleus of origin. 002866156 8564_ $$82466151$$s23540$$uhttp://cds.cern.ch/record/2866156/files/182Hg_197LM_fit.png$$y00005 A fit (black solid line) to a portion of the electron energy spectrum spectrum, gated on the 526-, 576-, 748- and 1171-keV $\gamma$ rays feeding the 548 keV $2^+_2$ state in $^{182}$Hg. The visible peaks stem from the L- and M+-ICE of the 197-keV transition and the L-ICE of the 213-keV transition. A contribution from asymmetric Gaussian functions is plotted in solid red lines and the constant background is shown by the dashed purple line. 002866156 8564_ $$82466152$$s9962$$uhttp://cds.cern.ch/record/2866156/files/182Hg_e.png$$y00000 Portion of the electron singles energy spectrum collected with the $^{182}$Tl beam. The electron lines associated with $^{182}$Hg have been marked with the transition energy and corresponding atomic orbital, whereas transitions arising from the $A=182$ decay chain are marked with the nucleus of origin. 002866156 8564_ $$82466153$$s55270$$uhttp://cds.cern.ch/record/2866156/files/182Hg_small_topaper.png$$y00002 Partial level scheme of excited states in $^{182}$Hg populated in the $\beta$ decay of $^{182}$Tl extracted in this work. For the full version, see Supplemental Material \cite{supplemental}. Levels and transitions known from the previous $\beta$-decay studies are plotted in black, shifted in the decay scheme in blue, known from other than $\beta$-decay studies in green and newly identified in red. Transitions not observed in this work for which the intensity limits have been determined are plotted with dashed lines. Spins, parities and proposed transition multipolarities are taken from this work and Ref. \cite{Singh2015}. 002866156 8564_ $$82466154$$s14793$$uhttp://cds.cern.ch/record/2866156/files/168keV.png$$y00014 $\gamma$-ray (top) and electron (bottom) energy spectra gated on the 367-keV ($2^+_1 \rightarrow 0^+_1$) $\gamma$ ray in $^{184}$Hg. A peak labeled as `CS' stems for the Compton scattering of strong $\gamma$ rays between different clovers. 002866156 8564_ $$82466155$$s1330169$$uhttp://cds.cern.ch/record/2866156/files/2305.16442.pdf$$yFulltext 002866156 8564_ $$82466156$$s10578$$uhttp://cds.cern.ch/record/2866156/files/1247keV.png$$y00021 Portion of the $\gamma$-ray energy spectrum gated on the 1248-keV $\gamma$ ray in $^{186}$Hg. 002866156 8564_ $$82466157$$s11709$$uhttp://cds.cern.ch/record/2866156/files/353K.png$$y00024 $\gamma$-ray (top) and electron (bottom) energy spectra gated on the 675-keV ($4^+_2 \rightarrow 2^+_1$) $\gamma$ ray in $^{186}$Hg. The position of the non-observed 353-keV $\gamma$ ray is marked with a shaded area. 002866156 8564_ $$82466158$$s17532$$uhttp://cds.cern.ch/record/2866156/files/delta182Hg.png$$y00026 The $\chi^2$ plot as a function of the $|\delta|$ and $q_K^2$ mixing parameters of the $2^+_2 \rightarrow 2^+_1$ 197 keV transition in $^{182}$Hg. The $\chi^2$ value is given by the color scale. 002866156 8564_ $$82466159$$s16373$$uhttp://cds.cern.ch/record/2866156/files/622keV.png$$y00006 $\gamma$-ray (top) and electron (bottom) energy spectra gated on the 701-keV $\gamma$ ray in $^{182}$Hg. The peaks of interest are labeled by the energy given in keV. The energy range 440-650 keV of electron energy spectrum has been magnified by a factor 10 for visualisation purposes. 002866156 8564_ $$82466160$$s9238$$uhttp://cds.cern.ch/record/2866156/files/511K.png$$y00008 Portion of an electron energy spectrum gated on the 261-keV ($4^+_1 \rightarrow 2^+_1$) $\gamma$ ray in $^{182}$Hg. Peaks stemming from the ICEs of the yrast cascade as well as from the 512-keV transition are labeled. 002866156 960__ $$a13 002866156 980__ $$aARTICLE