Open Access

High-spin states in ${}^{60}{Cu}$ and implications for states in the mirror nucleus ${}^{60}{Ga}$

D. Rudolph ^1,*, I. Ragnarsson ¹, C. J. Chiara ^2,†, W. Reviol ^2,3, C. Andreoiu ^1,4, M. P. Carpenter³, R. J. Charity ², J. Ekman ^1,5, C. Fahlander ¹ et al.

R. du Rietz ^1,5, D. Seweryniak ³, and L. G. Sobotka ²

¹Department of Physics, Lund University, 22100 Lund, Sweden
²Chemistry Department, Washington University, St. Louis, Missouri 63130, USA
³Physics Division, Argonne National Laboratory, Lemont, Illinois 60439, USA
⁴Chemistry Department, Simon Fraser University, Burnaby, British Columbia, V5A 1S6, Canada
⁵Department of Materials Science and Applied Mathematics, Malmö University, SE-20506 Malmö, Sweden

^*Contact author: Dirk.Rudolph@fysik.lu.se
^†Present address: U.S. Army Combat Capabilities Development Command Army Research Laboratory, Adelphi, Maryland 20783, USA.

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Phys. Rev. C 114, 024307 – Published 3 August, 2026

DOI: https://doi.org/10.1103/mfz2-qldg

Abstract

High-spin states in ${}^{60}{Cu}$ are investigated on the basis of reaction-channel-selected $γ$ -ray spectroscopy. Data stem from three experiments that used the same fusion-evaporation reaction at similar beam energies. The Gammasphere $γ$ -ray spectrometer was combined with the Microball CsI(Tl) detector array and sets of liquid-scintillator neutron detectors which allowed us to identify and tag on evaporated light charged particles and neutrons, respectively. A level scheme is proposed which comprises more than 300 $γ$ -ray transitions connecting more than 100 excited states. Predictions from cranked Nilsson-Strutinsky calculations describe the observed high-spin collective structures in ${}^{60}{Cu}$ . Predictions of shell-model calculations are probed with a suite of low- to medium-spin states of both parities. Taking into account isospin-symmetry-breaking terms in these calculations, a case study of the yrast line of the weakly bound mirror nucleus ${}^{60}{Ga}$ is presented.

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References (72)

C. E. Svensson, C. Baktash, J. A. Cameron, M. Devlin, J. Eberth, S. Flibotte, D. S. Haslip, D. R. LaFosse, I. Y. Lee, A. O. Macchiavelli, R. W. MacLeod, J. M. Nieminen, S. D. Paul, L. L. Riedinger, D. Rudolph, D. G. Sarantites, H. G. Thomas, J. C. Waddington, W. Weintraub, J. N. Wilson, et al., Observation and quadrupole-moment measurement of the first superdeformed band in the $A \sim 60$ mass region, Phys. Rev. Lett. 79, 1233 (1997).
C. E. Svensson, C. Baktash, G. C. Ball, J. A. Cameron, M. Devlin, J. Eberth, A. Galindo-Uribarri, S. Flibotte, D. S. Haslip, V. P. Janzen, D. R. LaFosse, I. Y. Lee, A. O. Macchiavelli, R. W. MacLeod, J. M. Nieminen, S. D. Paul, D. C. Radford, L. L. Riedinger, D. Rudolph, D. G. Sarantites, et al., Smooth termination of rotational bands in ${}^{62}{Zn}$ : Evidence for a loss of collectivity, Phys. Rev. Lett. 80, 2558 (1998).
C. Andreoiu, D. Rudolph, I. Ragnarsson, C. Fahlander, R. A. E. Austin, M. P. Carpenter, R. M. Clark, J. Ekman, R. V. F. Janssens, T. L. Khoo, F. G. Kondev, T. Lauritsen, T. Rodinger, D. G. Sarantites, D. Seweryniak, T. Steinhardt, C. E. Svensson, O. Thelen, and J. C. Waddington, Evolution of shapes in ${}^{59}{Cu}$ , Eur. Phys. J. A 14, 317 (2002).
D. Rudolph, C. Baktash, M. J. Brinkman, E. Caurier, D. J. Dean, M. Devlin, J. Dobaczewski, P.-H. Heenen, H.-Q. Jin, D. R. LaFosse, W. Nazarewicz, F. Nowacki, A. Poves, L. L. Riedinger, D. G. Sarantites, W. Satula, and C. H. Yu, Rotational bands in the doubly magic nucleus ${}^{56}{Ni}$ , Phys. Rev. Lett. 82, 3763 (1999).
D. Rudolph, C. Baktash, J. Dobaczewski, W. Nazarewicz, W. Satua, M. J. Brinkman, M. Devlin, H.-Q. Jin, D. R. LaFosse, L. L. Riedinger, D. G. Sarantites, and C.-H. Yu, Prompt proton decay of a well-deformed rotational band in ${}^{58}{Cu}$ , Phys. Rev. Lett. 80, 3018 (1998).
C. E. Svensson, D. Rudolph, C. Baktash, M. A. Bentley, J. A. Cameron, M. P. Carpenter, M. Devlin, J. Eberth, S. Flibotte, A. Galindo-Uribarri, G. Hackman, D. S. Haslip, R. V. F. Janssens, D. R. LaFosse, T. J. Lampman, T. Lauritsen, I. Y. Lee, F. Lerma, C. J. Lister, A. O. Macchiavelli, et al., Decay out of the doubly magic superdeformed band in the $N = Z$ nucleus ${}^{60}{Zn}$ , Phys. Rev. Lett. 82, 3400 (1999).
Y. Hrabar, P. Golubev, D. Rudolph, L. G. Sarmiento, C. Müller-Gatermann, W. Reviol, D. Seweryniak, J. Wu, H. M. Albers, J. T. Anderson, M. A. Bentley, B. G. Carlsson, M. P. Carpenter, C. J. Chiara, P. A. Copp, D. M. Cox, J. Ekman, C. Fahlander, U. Forsberg, T. Huang, et al., Identification of prompt proton emission in $N = Z - 1 {}^{61}{Ga}$ : Isospin symmetry at the limit of nuclear binding, Phys. Rev. Lett. 135, 222503 (2025).
E. K. Johansson, D. Rudolph, L.-L. Andersson, D. A. Torres, I. Ragnarsson, C. Andreoiu, C. Baktash, M. P. Carpenter, R. J. Charity, C. J. Chiara, J. Ekman, C. Fahlander, C. Hoel, O. L. Pechenaya, W. Reviol, R. du Rietz, D. G. Sarantites, D. Seweryniak, L. G. Sobotka, C. H. Yu, et al., Prompt proton decay and deformed bands in ${}^{56}{Ni}$ , Phys. Rev. C 77, 064316 (2008).
D. Rudolph, I. Ragnarsson, W. Reviol, C. Andreoiu, M. A. Bentley, M. P. Carpenter, R. J. Charity, R. M. Clark, M. Cromaz, J. Ekman, C. Fahlander, P. Fallon, E. Ideguchi, A. O. Macchiavelli, M. N. Mineva, D. G. Sarantites, D. Seweryniak, and S. J. Williams, Rotational bands in the semi-magic nucleus ${}_{28}^{57}{Ni}_{29}$ , J. Phys. G 37, 075105 (2010).
E. K. Johansson, D. Rudolph, I. Ragnarsson, L.-L. Andersson, D. A. Torres, C. Andreoiu, C. Baktash, M. P. Carpenter, R. J. Charity, C. J. Chiara, J. Ekman, C. Fahlander, O. L. Pechenaya, W. Reviol, R. du Rietz, D. G. Sarantites, D. Seweryniak, L. G. Sobotka, C. H. Yu, and S. Zhu, Thorough $γ$ -ray and particle decay investigations of ${}^{58}{Ni}$ , Phys. Rev. C 80, 014321 (2009).
C.-H. Yu, C. Baktash, J. A. Cameron, M. Devlin, J. Eberth, A. Galindo-Uribarri, D. S. Haslip, D. R. LaFosse, T. J. Lampman, I.-Y. Lee, F. Lerma, A. O. Macchiavelli, S. D. Paul, D. C. Radford, I. Ragnarsson, D. Rudolph, D. G. Sarantites, C. E. Svensson, J. C. Waddington, J. C. Wells, et al., Rotational bands with terminating properties in ${}^{59}{Ni}$ , Phys. Rev. C 65, 061302(R) (2002).
D. A. Torres, F. Cristancho, L.-L. Andersson, E. K. Johansson, D. Rudolph, C. Fahlander, J. Ekman, R. du Rietz, C. Andreoiu, M. P. Carpenter, D. Seweryniak, S. Zhu, R. J. Charity, C. J. Chiara, C. Hoel, O. L. Pechenaya, W. Reviol, D. G. Sarantites, L. G. Sobotka, C. Baktash, et al., Deformations and magnetic rotations in the ${}^{60}{Ni}$ nucleus, Phys. Rev. C 78, 054318 (2008).
D. Rudolph, D. G. Sarantites, C. Andreoiu, C. Fahlander, D. P. Balamuth, R. J. Charity, M. Devlin, J. Eberth, A. Galindo-Uribarri, P. A. Hausladen, D. Seweryniak, L. G. Sobotka, and Th. Steinhardt, High-resolution in-beam particle spectroscopy–New results on prompt proton emission from ${}^{58}{Cu}$ , Eur. Phys. J. A 14, 137 (2002).
L.-L. Andersson, D. Rudolph, E. K. Johansson, D. A. Torres, B. G. Carlsson, I. Ragnarsson, C. Andreoiu, C. Baktash, M. P. Carpenter, R. J. Charity, C. J. Chiara, J. Ekman, C. Fahlander, C. Hoel, O. L. Pechenaya, W. Reviol, R. du Rietz, D. G. Sarantites, D. Seweryniak, L. G. Sobotka, et al., Extensive $γ$ -ray spectroscopy of normally and superdeformed structures in ${}_{29}^{61}{Cu}_{32}$ , Eur. Phys. J. A 36, 251 (2008).
L.-L. Andersson, I. Ragnarsson, D. Rudolph, E. K. Johansson, D. A. Torres, C. Andreoiu, M. P. Carpenter, R. J. Charity, C. J. Chiara, J. Ekman, C. Fahlander, C. Hoel, O. L. Pechenaya, W. Reviol, R. du Rietz, D. G. Sarantites, D. Seweryniak, L. G. Sobotka, and S. Zhu, Comprehensive $γ$ -ray spectroscopy of rotational bands in the $N = Z + 1$ nucleus ${}^{61}{Zn}$ , Phys. Rev. C 79, 024312 (2009).
J. Gellanki, I. Ragnarsson, D. Rudolph, C. E. Svensson, L.-L. Andersson, C. Andreoiu, C. Baktash, M. P. Carpenter, R. J. Charity, C. J. Chiara, J. Eberth, J. Ekman, C. Fahlander, D. S. Haslip, E. K. Johansson, D. R. LaFosse, S. D. Paul, O. L. Pechenaya, W. Reviol, R. du Rietz, et al., Characterization of superdeformed bands in ${}^{62}{Zn}$ , Phys. Rev. C 80, 051304(R) (2009).
J. Gellanki, D. Rudolph, I. Ragnarsson, L.-L. Andersson, C. Andreoiu, M. P. Carpenter, J. Ekman, C. Fahlander, E. K. Johansson, W. Reviol, D. G. Sarantites, D. Seweryniak, C. E. Svensson, and J. C. Waddington, Extensive $γ$ -ray spectroscopy of band structures in ${}_{30}^{62}{Zn}_{32}$ , Phys. Rev. C 86, 034304 (2012).
D. Rudolph, I. Ragnarsson, S. Åberg, C. Andreoiu, M. P. Carpenter, R. M. Clark, J. Ekman, C. Fahlander, R. V. F. Janssens, F. G. Kondev, T. Lauritsen, D. G. Sarantites, D. Seweryniak, and C. E. Svensson, Onset of high-spin rotational bands in the $N = Z$ nucleus ${}^{62}{Ga}$ , Phys. Rev. C 102, 014313 (2020).
D. Rudolph, I. Ragnarsson, R. M. Clark, C. Andreoiu, M. P. Carpenter, J. Ekman, C. Fahlander, F. G. Kondev, T. Lauritsen, D. G. Sarantites, D. Seweryniak, and C. E. Svensson, Low-, medium-, and high-spin states in the $N = Z + 1$ nucleus ${}^{63}{Ga}$ , Phys. Rev. C 103, 034306 (2021).
E. Browne and J. K. Tuli, Nuclear data sheets for $A$ = 60, Nucl. Data Sheets 114, 1849 (2013).
O. Izotova, D. Rudolph, J. Ekman, C. Fahlander, A. Algora, C. Andreoiu, R. Cardona, C. Chandler, G. de Angelis, E. Farnea, A. Gadea, J. Garcés Narro, J. Nyberg, M. Palacz, Zs. Podolyák, T. Steinhardt, and O. Thelen, Survey of $E 1$ transitions in the mass $A \sim 60$ region, Phys. Rev. C 69, 037303 (2004).
S. Pigliapoco, M. L. Cortés, F. Recchia, P. Doornenbal, S. M. Lenzi, M. A. Bentley, F. Browne, L. S. Ferreira, A. Jungclaus, T. Koiwai, E. Maglione, D. Rudolph, R. Taniuchi, J. A. Tostevin, V. Vaquero, K. Wimmer, L. Zago, P. Aguilera, T. Arici, S. Carollo, et al., Isospin symmetry holds beyond the proton drip line: First observation of excited states in ${}^{55}{Cu}$ , Phys. Lett. B. 878, 140564 (2026)
A. Fernández, A. Jungclaus, P. Doornenbal, M. A. Bentley, S. M. Lenzi, D. Rudolph, F. Browne, M. L. Cortés, T. Koiwai, R. Taniuchi, V. Vaquero, K. Wimmer, T. Arici, N. Imai, N. Kitamura, B. Longfellow, R. Lozeva, B. Mauss, D. R. Napoli, M. Niikura, et al., Mirror energy differences above the $0 f_{7 / 2}$ shell: First $γ$ -ray spectroscopy of the $T_{z} = - 2$ nucleus ${}^{56}{Zn}$ , Phys. Lett. B 823, 136784 (2021).
K. Wimmer, P. Ruotsalainen, S. M. Lenzi, A. Poves, T. Hüyük, F. Browne, P. Doornenbal, T. Koiwai, T. Arici, K. Auranen, M. A. Bentley, M. L. Cortés, C. Delafosse, T. Eronen, Z. Ge, T. Grahn, P. T. Greenlees, A. Illana, N. Imai, H. Joukainen, et al., Isospin symmetry in the $T = 1, A = 62$ triplet, Phys. Lett. B 847, 138249 (2023).
A. Obertelli, T. Baugher, D. Bazin, S. Boissinot, J.-P. Delaroche, A. Dijon, F. Flavigny, A. Gade, M. Girod, T. Glasmacher, G. F. Grinyer, W. Korten, J. Ljungvall, S. McDaniel, A. Ratkiewicz, B. Sulignano, P. Van Isacker, and D. Weisshaar, First spectroscopy of ${}^{66}{Se}$ and ${}^{65}{As}$ : Investigating shape coexistence beyond the $N = Z$ line, Phys. Lett. B 701, 417 (2011).
L.-L. Andersson, A trilogy of mass $A = 61$ : Superdeformed structures, exotic decay, and isospin symmetry, Ph.D. thesis, Lund University, 2008, https://portal.research.lu.se/sv/publications/a-trilogy-of-mass-a61-superdeformed-structures-exotic-decay-and-i.
E. Johansson, Nuclear structure and exotic decays; doubly-magic ${}^{56}{Ni}$ and semi-magic ${}^{58}{Ni}$ , Ph.D. thesis, Lund University, 2009, https://portal.research.lu.se/sv/publications/nuclear-structure-and-exotic-decays-doubly-magic-56ni-and-semi-ma.
I.-Y. Lee, The Gammasphere, Nucl. Phys. A 520, c641 (1990).
The fifteen-detector arrangement comprised five units with hexagonal shape and ten bullet-like ones; see, P. A. Hausladen, et al., Bull. Am Phys. Soc. (1997); D. Rudolph , High-spin shell-model states near ${}^{56}{Ni}$ , Eur. Phys. J. A 4, 115 (1999) (specifically Sec. 2).
D. G. Sarantites, W. Reviol, C. J. Chiara, R. J. Charity, L. G. Sobotka, M. Devlin, M. Furlotti, O. L. Pechenaya, J. Elson, P. Hausladen, S. Fischer, D. Balamuth, and R. M. Clark, “Neutron Shell”: A high efficiency array of neutron detectors for $γ$ -ray spectroscopic studies with Gammasphere, Nucl. Instrum. Methods Phys. Res., Sect. A 530, 473 (2004).
D. G. Sarantites, P.-F. Hua, M. Devlin, L. G. Sobotka, J. Elson, J. T. Hood, D. R. LaFosse, J. E. Sarantites, and M. R. Maier, “The Microball”: Design, instrumentation and response characteristics of a $4 π$ -multidetector exit channel-selection device for spectroscopic and reaction mechanism studies with Gammasphere, Nucl. Instrum. Methods Phys. Res., Sect. A 381, 418 (1996).
C. E. Svensson, J. A. Cameron, S. Flibotte, G. Gervais, D. S. Haslip, J. M. Nieminen, J. C. Waddington, J. N. Wilson, G. C. Ball, A. Galindo-Uribarri, V. P. Janzen, D. C. Radford, D. Ward, M. Cromaz, and T. E. Drake, Channel selection for high spin $γ$ -ray spectroscopy studies via total energy measurements in fusion-evaporation reactions, Nucl. Instrum. Methods Phys. Res., Sect. A 396, 228 (1997).
P. Böhm, Y. Hrabar, D. Rudolph, P. Golubev, L. G. Sarmiento, H. M. Albers, J. T. Anderson, M. A. Bentley, M. P. Carpenter, C. J. Chiara, P. A. Copp, U. Forsberg, T. Huang, H. Jayatissa, T. Lauritsen, C. Müller-Gatermann, X. Pereira-Lopez, W. Reviol, D. Seweryniak, S. Stolze, et al., Search for weak side branches in the electromagnetic decay paths of the 6526-keV $10^{+}$ isomer in ${}^{54}{Fe}$ , Atoms 11, 116 (2023).
D. C. Radford, ESCL8R and LEVIT8R: Software for interactive graphical analysis of HPGe coincidence data sets, Nucl. Instrum. Methods Phys. Res., Sect. A 361, 297 (1995).
J. Theuerkauf, S. Esser, S. Krink, M. Luig, N. Nicolay, O. Stuch, and H. Wolters, program TV, University of Cologne (unpublished).
E. Caurier, Shell Model Code ANTOINE, IRES (Strasbourg, 1989–2002).
E. Caurier and F. Nowacki, Present status of shell model techniques, Acta Phys. Pol. B 30, 705 (1999).
M. Honma, T. Otsuka, B. A. Brown, and T. Mizusaki, Effective interaction for $p f$ -shell nuclei, Phys. Rev. C 65, 061301(R) (2002).
A. Poves, J. Sánchez-Solano, E. Caurier, and F. Nowacki, Shell model study of the isobaric chains $A$ = 50, $A$ = 51 and $A$ = 52, Nucl. Phys. A 694, 157 (2001).
E. Caurier, G. Martinez-Pinedo, F. Nowacki, A. Poves, and A. P. Zuker, The shell model as a unified view of nuclear structure, Rev. Mod. Phys. 77, 427 (2005).
D. Rudolph, B. Blank, J. Giovinazzo, T. Roger, H. Alvarez-Pol, A. Arokia Raj, P. Ascher, M. Caamaño-Fresco, L. Caceres, D. M. Cox, B. Fernández-Domínguez, J. Lois-Fuentes, M. Gerbaux, S. Grévy, G. F. Grinyer, O. Kamalou, B. Mauss, A. Mentana, J. Pancin, J. Pibernat, et al., Mirror symmetry at mass $A = 54$ : $E 4$ effective charges near doubly magic ${}^{56}{Ni}$ , Phys. Lett. B 830, 137144 (2022).
D. Rudolph, C. Andreoiu, M. A. Bentley, M. P. Carpenter, R. J. Charity, R. M. Clark, J. Ekman, C. Fahlander, P. Fallon, W. Reviol, D. G. Sarantites, and D. Seweryniak, Experimental and shell-model study of excited states in ${}_{26}^{55}{Fe}_{29}$ and related notes on ${}_{29}^{55}{Cu}_{26}$ , Phys. Rev. C 104, 044314 (2021).
J. Ekman, C. Fahlander, and D. Rudolph, Mirror symmetry in the upper fp shell, Mod. Phys. Lett. A 20, 2977 (2005).
A. P. Zuker, S. M. Lenzi, G. Martínez-Pinedo, and A. Poves, Isobaric multiplet yrast energies and isospin nonconserving forces, Phys. Rev. Lett. 89, 142502 (2002).
S. M. Lenzi, M. A. Bentley, R. Lau, and C. Aa Diget, Isospin-symmetry breaking corrections for the description of triplet energy differences, Phys. Rev. C 98, 054322 (2018).
M. Honma, T. Otsuka, T. Mizusaki, and M. Hjorth-Jensen, New effective interaction for $f_{5} {pg}_{9}$ -shell nuclei, Phys. Rev. C 80, 064323 (2009).
R. du Rietz, J. Ekman, D. Rudolph, C. Fahlander, A. Dewald, O. Möller, B. Saha, M. Axiotis, M. A. Bentley, C. Chandler, G. de Angelis, F. Della Vedova, A. Gadea, G. Hammond, S. M. Lenzi, N. Mărginean, D. R. Napoli, M. Nespolo, C. Rusu, et al., Effective charges in the $f p$ shell, Phys. Rev. Lett. 93, 222501 (2004).
T. H. Ogunbeku, J. M. Allmond, T. J. Gray, W.-J. Ong, B. A. Brown, A. Gargano, R. Grzywacz, J. D. Holt, A. O. Macchiavelli, T. Miyagi, S. Neupane, B. C. Rasco, H. Schatz, B. M. Sherrill, O. B. Tarasov, H. Arora, A. D. Ayangeakaa, H. C. Berg, J. M. Berkman, D. L. Bleuel, et al., Universal effective charges in the $s d$ and $f p$ shells, Phys. Rev. Lett. 135, 072501 (2025).
T. Otsuka, M. Honma, and T. Mizusaki, Structure of the $N = Z = 28$ closed shell studied by Monte Carlo shell model calculation, Phys. Rev. Lett. 81, 1588 (1998).
D. Rudolph, K. P. Lieb, and H. Grawe, Multiparticle-hole states of high spin in $N < 50, A \approx 90$ nuclei: 4. Systematics of level energies and electromagnetic properties, Nucl. Phys. A 597, 298 (1996).
D. Rudolph, I. Ragnarsson, C. Andreoiu, M. A. Bentley, M. P. Carpenter, R. J. Charity, R. M. Clark, J. Ekman, C. Fahlander, P. Fallon, W. Reviol, D. G. Sarantites, and D. Seweryniak, Single-particle and collective excitations in the $N = 28$ isotones ${}^{54}{Fe}$ and ${}^{53}{Mn}$ , Phys. Rev. C 102, 014316 (2020).
L. Kucuk, S. E. A. Orrigo, A. Montaner-Pizá, B. Rubio, Y. Fujita, W. Gelletly, B. Blank, Y. Oktem, T. Adachi, A. Algora, P. Ascher, R. B. Cakirli, G. de France, H. Fujita, E. Ganioğlu, J. Giovinazzo, S. Grévy, F. M. Marqués, F. Molina, F. de Oliveira Santos, et al., Half-life determination of $T z = - 1$ and $T z = - \frac{1}{2}$ proton-rich nuclei and the $β$ decay of ${}^{58}{Zn}$ , Eur. Phys. J. A 53, 134 (2017).
J. Giovinazzo, T. Goigoux, B. Blank, P. Ascher, M. Gerbaux, S. Grévy, T. Kurtukian-Nieto, C. Magron, P. Doornenbal, N. Fukuda, N. Inabe, G. G. Kiss, T. Kubo, S. Kubono, S. Nishimura, H. Sakurai, Y. Shimizu, C. Sidong, P.-A. Söderström, T. Sumikama, et al., Acta Phys. Pol., B 51, 577 (2020).
S. E. A. Orrigo, B. Rubio, W. Gelletly, P. Aguilera, A. Algora, A. I. Morales, J. Agramunt, D. S. Ahn, P. Ascher, B. Blank, C. Borcea, A. Boso, R. B. Cakirli, J. Chiba, G. de Angelis, G. de France, F. Diel, P. Doornenbal, Y. Fujita, N. Fukuda, et al., $β$ decay of the very neutron-deficient ${}^{60}{Ge}$ and ${}^{62}{Ge}$ nuclei, Phys. Rev. C 103, 014324 (2021).
Meng Wang, W. J. Huang, F. G. Kondev, G. Audi, and S. Naimi, The AME 2020 atomic mass evaluation (II). Tables, graphs and references, Chin. Phys. C 45, 030003 (2021).
S. F. Paul, J. Bergmann, J. D. Cardona, K. A. Dietrich, E. Dunling, Z. Hockenbery, C. Hornung, C. Izzo, A. Jacobs, A. Javaji, B. Kootte, Y. Lan, E. Leistenschneider, E. M. Lykiardopoulou, I. Mukul, T. Murböck, W. S. Porter, R. Silwal, M. B. Smith, J. Ringuette, et al., Mass measurements of ${}^{60 - 63}{Ga}$ reduce x-ray burst model uncertainties and extend the evaluated $T = 1$ isobaric multiplet mass equation, Phys. Rev. C 104, 065803 (2021).
M. Wang, Y. H. Zhang, X. Zhou, X. H. Zhou, H. S. Xu, M. L. Liu, J. G. Li, Y. F. Niu, W. J. Huang, Q. Yuan, S. Zhang, F. R. Xu, Yu.A. Litvinov, K. Blaum, Z. Meisel, R. F. Casten, R. B. Cakirli, R. J. Chen, H. Y. Deng, C. Y. Fu, et al., Mass measurement of upper $f p$ -shell $N = Z - 2$ and $N = Z - 1$ nuclei and the importance of three-nucleon force along the $N = Z$ line, Phys. Rev. Lett. 130, 192501 (2023).
L. J. Sun, J. Dopfer, A. Adams, C. Wrede, A. Banerjee, B. A. Brown, J. Chen, E. A. M. Jensen, R. Mahajan, T. Rauscher, C. Sumithrarachchi, L. E. Weghorn, D. Weisshaar, and T. Wheeler, Extension of the particle x-ray coincidence technique: The lifetimes and branching ratios apparatus, Phys. Rev. C 111, 055806 (2025).
C. Andreoiu, M. Axiotis, G. de Angelis, J. Ekman, C. Fahlander, E. Farnea, A. Gadea, T. Kröll, S. M. Lenzi, N. Mărginean, T. Martinez, M. N. Mineva, C. Rossi Alvarez, D. Rudolph, and C. A. Ur, First identification of excited states in ${}^{59}{Zn}$ , Eur. Phys. J. A 15, 459 (2002).
T. Bengtsson and I. Ragnarsson, Rotational bands and particle-hole excitations at very high spin, Nucl. Phys. A 436, 14 (1985).
A. V. Afanasjev, D. B. Fossan, G. J. Lane, and I. Ragnarsson, Termination of rotational bands: Disappearance of quantum many-body collectivity, Phys. Rep. 322, 1 (1999).
B. G. Carlsson and I. Ragnarsson, Calculating the nuclear mass in the very high angular momentum regime, Phys. Rev. C 74, 011302(R) (2006).
J. Gellanki, B. G. Carlsson, I. Ragnarsson, and D. Rudolph, Comparative study of rotational bands in the $A \approx 60$ mass region: Modification of Nilsson parameters, Phys. Rev. C 89, 024301 (2014).
I. Ragnarsson, V. P. Janzen, D. B. Fossan, N. C. Schmeing, and R. Wadsworth, Smooth termination of collective rotational bands, Phys. Rev. Lett. 74, 3935 (1995).
K. Starosta, C. J. Chiara, D. B. Fossan, T. Koike, D. R. LaFosse, G. J. Lane, J. M. Sears, J. F. Smith, A. J. Boston, P. J. Nolan, E. S. Paul, A. T. Semple, M. Devlin, D. G. Sarantites, I. Y. Lee, A. O. Macchiavelli, and I. Ragnarsson, Smooth band termination at high spin in ${}^{113}I$ , Phys. Rev. C 64, 014304 (2001).
W. C. Ma, R. V. F. Janssens, T. L. Khoo, I. Ragnarsson, M. A. Riley, M. P. Carpenter, J. R. Terry, J. P. Zhang, I. Ahmad, P. Bhattacharyya, P. J. Daly, S. M. Fischer, J. H. Hamilton, T. Lauritsen, D. T. Nisius, A. V. Ramayya, R. K. Vadapalli, P. G. Varmette, J. W. Watson, C. T. Zhang, et al., Competition between terminating and collective structures above spin $40 ℏ$ in ${}^{154}{Dy}$ , Phys. Rev. C 65, 034312 (2002).
A. O. Evans, E. S. Paul, J. Simpson, M. A. Riley, D. E. Appelbe, D. B. Campbell, P. T. W. Choy, R. M. Clark, M. Cromaz, P. Fallon, A. Görgen, D. T. Joss, I. Y. Lee, A. O. Macchiavelli, P. J. Nolan, A. Pipidis, D. Ward, and I. Ragnarsson, High-spin structure in ${}^{157}{Er}$ up to and above band termination, Phys. Rev. C 73, 064303 (2006).
J. Simpson, M. A. Riley, A. Pipidis, E. S. Paul, X. Wang, P. J. Nolan, J. F. Sharpey-Schafer, A. Aguilar, D. E. Appelbe, A. D. Ayangeakaa, A. J. Boston, H. C. Boston, D. B. Campbell, M. P. Carpenter, C. J. Chiara, P. T. W. Choy, R. M. Clark, M. Cromaz, A. O. Evans, P. Fallon, et al., Evolution of structure and shapes in ${}^{158}{Er}$ to ultrahigh spin, Phys. Rev. C 107, 054305 (2023).
I. Ragnarsson, A. Kardan, B. G. Carlsson, E. S. Paul, C. M. Petrache, M. A. Riley, J. F. Sharpey-Schafer, and J. Simpson, Band terminations and maximum spin values with up to 18 aligned particles (and holes) in the $Z, N = 50$ to 82 shells, Phys. Rev. C 110, 034313 (2024).
H.-L. Ma, B. G. Carlsson, I. Ragnarsson, and H. Ryde, Interpretation of the high spin states in ${}^{161}{Lu}$ : A paired and unpaired study, Phys. Rev. C 90, 014316 (2014).
A. Kardan, I. Ragnarsson, B. G. Carlsson, and H.-L. Ma, Interpretation of normal-deformed bands in ${}^{167}{Lu}$ , Phys. Rev. C 101, 014323 (2020).
S. G. Nilsson, C. F. Tsang, A. Sobiczewski, Z. Szymański, S. Wycech, C. Gustafsson, I.-L. Lamm, P. Möller, and B. Nilsson, On the nuclear structure and stability of heavy and superheavy elements, Nucl. Phys. A 131, 1 (1969).

Phys. Rev. C 114, 024307– Published 3 August, 2026

Vol. 114, Iss. 2 — August 2026

Received 27 March 2026
Accepted 8 July 2026

DOI: https://doi.org/10.1103/mfz2-qldg

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by Bibsam.

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High-spin states in ${}^{60}{Cu}$ and implications for states in the mirror nucleus ${}^{60}{Ga}$

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High-spin states in Cu60 and implications for states in the mirror nucleus Ga60

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High-spin states in ${}^{60}{Cu}$ and implications for states in the mirror nucleus ${}^{60}{Ga}$