Reorientation-effect measurement of the <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mo>〈</mo><msubsup><mn>2</mn><mn>1</mn><mo>+</mo></msubsup><mo>∥</mo><mover accent="true"><mi>E</mi><mo>̂</mo></mover><mn>2</mn><mo>∥</mo><msubsup><mn>2</mn><mn>1</mn><mo>+</mo></msubsup><mo>〉</mo></mrow></math> matrix element in <math xmlns="http://www.w3.org/1998/Math/MathML"><mmultiscripts><mi>Ar</mi><mprescripts></mprescripts><none></none><mn>36</mn></mmultiscripts></math>

J. N. Orce; E. J. Martín Montes; K. J. Abrahams; C. Ngwetsheni; B. A. Brown; M. Kumar Raju; C. V. Mehl; M. J. Mokgolobotho; E. H. Akakpo; D. L. Mavela; P. Adsley; R. A. Bark; N. Bernier; T. D. Bucher; N. R. Erasmus; T. S. Dinoko; P. M. Jones; N. Y. Kheswa; N. A. Khumalo; E. A. Lawrie; J. J. Lawrie; B. L. Lesch; S. N. T. Majola; S. S. Ntshangase; P. Papka; V. Pesudo; B. Rebeiro; O. Shirinda; M. Wiedeking; W. Yahia-Cherif

doi:10.1103/PhysRevC.104.L061305

Letter

Reorientation-effect measurement of the $〈 2_{1}^{+} ∥ \hat{E} 2 ∥ 2_{1}^{+} 〉$ matrix element in ${}^{36}{Ar}$

J. N. Orce ^1,2,*, E. J. Martín Montes¹, K. J. Abrahams¹, C. Ngwetsheni¹, B. A. Brown³, M. Kumar Raju^1,4,†, C. V. Mehl¹, M. J. Mokgolobotho¹, E. H. Akakpo^1,5 et al.

D. L. Mavela¹, P. Adsley^4,6, R. A. Bark⁴, N. Bernier^1,5, T. D. Bucher^1,5, N. R. Erasmus¹, T. S. Dinoko^1,4,‡, P. M. Jones⁴, N. Y. Kheswa⁴, N. A. Khumalo^1,4, E. A. Lawrie^4,1, J. J. Lawrie^4,1, B. L. Lesch¹, S. N. T. Majola⁵, S. S. Ntshangase⁵, P. Papka^4,6, V. Pesudo^1,4, B. Rebeiro¹, O. Shirinda^4,§, M. Wiedeking^4,7, and W. Yahia-Cherif⁸

¹Department of Physics & Astronomy, University of the Western Cape, P/B X17 Bellville 7535, South Africa
²National Institute for Theoretical and Computational Sciences (NITheCS), Stellenbosch 7535, South Africa
³Department of Physics & Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824-1321, USA
⁴iThemba LABS, National Research Foundation, P.O. Box 722, Somerset West 7129, South Africa
⁵Department of Physics & Engineering, University of Zululand, P/B X1001, KwaDlangezwa 3886, South Africa
⁶Department of Physics, University of Stellenbosch, Private Bag X1, 7602 Matieland, South Africa
⁷School of Physics, University of the Witwatersrand, Johannesburg 2050, South Africa
⁸Université des Sciences, Faculté de Physique, BP 32 El-Alia, 16111 Bab-Ezzouar, Alger, Algeria

^*coulex@gmail.com; http://nuclear.uwc.ac.za
^†Present address: Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China.
^‡Present address: National Metrology Institute of South Africa, P/B X 34, Lynnwood Ridge, Pretoria 0040, South Africa.
^§Present address: Plaatje University, Department of Physical and Earth Sciences, P/B X5008, Kimberley 8301, South Africa.

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Phys. Rev. C 104, L061305 – Published 16 December, 2021

DOI: https://doi.org/10.1103/PhysRevC.104.L061305

Abstract

The spectroscopic quadrupole moment of the first excited $2_{1}^{+}$ state, $Q_{S} (2_{1}^{+})$ , at 1.970 MeV in ${}^{36}{Ar}$ was determined at energies well below the Coulomb barrier—where nuclear interference effects are negligible—using the ${}^{194}{Pt} ({}^{36}{Ar}, {}^{36}{Ar}^{*}) {}^{194}{Pt}^{*}$ Coulomb-excitation reaction at 134.2 MeV. Particle-gamma coincidence data were collected using the AFRODITE array—composed of eight high-purity germanium clover detectors—and an upstream double-sided silicon detector at iThemba LABS. A large diagonal matrix element of $〈 2_{1}^{+} ∥ \hat{E 2} ∥ 2_{1}^{+} 〉 = 0.163 (42)$ $e b$ was determined, which yields a more accurate value of $Q_{S} (2_{1}^{+}) = + 0.12 (3)$ $e b$ as compared with previous work, $Q_{S} (2_{1}^{+}) = + 0.11 (6)$ $e b$ , in agreement with modern beyond mean-field and large-scale shell-model calculations. This value is consistent with the ratio of electric quadrupole moments found for other $A = 4 n$ self-conjugate nuclei extracted from the reorientation effect and the rotor model, which are surprisingly equivalent to those observed in good rotors in the mass $A \approx 160 – 180$ region.

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Reorientation-effect measurement of the $〈 2_{1}^{+} ∥ \hat{E} 2 ∥ 2_{1}^{+} 〉$ matrix element in ${}^{36}{Ar}$

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Reorientation-effect measurement of the 〈21+∥Ê2∥21+〉 matrix element in Ar36

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Reorientation-effect measurement of the $〈 2_{1}^{+} ∥ \hat{E} 2 ∥ 2_{1}^{+} 〉$ matrix element in ${}^{36}{Ar}$