The Mg30(t,p)Mg32 “puzzle” reexamined

Macchiavelli, A. O.; Crawford, H. L.; Campbell, C. M.; Clark, R. M.; Cromaz, M.; Fallon, P.; Jones, M. D.; Lee, I. Y.; Salathe, M.; Brown, B. A.; Poves, A.

doi:10.1103/PhysRevC.94.051303

Title: The ${}^{30}{Mg} (t, p) {}^{32}{Mg}$ “puzzle” reexamined

Journal Article · Fri Nov 18 00:00:00 EST 2016 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.94.051303· OSTI ID:1379587

Macchiavelli, A. O. ^[1]; Crawford, H. L. ^[1]; Campbell, C. M. ^[1]; Clark, R. M. ^[1]; Cromaz, M. ^[1]; Fallon, P. ^[1]; Jones, M. D. ^[1]; Lee, I. Y. ^[1]; Salathe, M. ^[1]; Brown, B. A. ^[2]; Poves, A. ^[3]

Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Nuclear Science Division
Michigan State Univ., East Lansing, MI (United States). Dept. of Physics and Astronomy, National Superconducting Cyclotron Lab.
Autonomous Univ. of Madrid (Spain). Dept. of Theoretical Physics

Background: Competing interpretations of the results of a Mg³⁰(t,p)Mg³² measurement populating the ground state and 0$$+\atop{2}$$ state in Mg³², both limited to a two-state mixing description, have left an open question regarding the nature of the Mg³² ground state. Purpose: Inspired by recent shell-model calculations, we explore the possibility of a consistent interpretation of the available data for the low-lying 0⁺ states in Mg³² by expanding the description from two-level to three-level mixing. Methods: A phenomenological three-level mixing model of unperturbed 0p0h, 2p2h, and 4p4h states is applied to describe both the excitation energies in Mg³² and the transfer reaction cross sections. Results: Within this approach, self-consistent solutions exist that provide good agreement with the available experimental information obtained from the Mg³⁰(t,p)Mg³² reaction. Conclusion: The inclusion of the third state, namely the 4p4h configuration, resolves the "puzzle" that results from a two-levelmodel interpretation of the same data. In our analysis, the Mg³² ground state emerges naturally as dominated by intruder (2p2h and 4p4h) configurations, at the 95% level.

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Research Organization:: Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

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

Grant/Contract Number:: AC02-05CH11231; PHY-1404442

OSTI ID:: 1379587

Alternate ID(s):: OSTI ID: 1332777

Journal Information:: Physical Review C, Vol. 94, Issue 5; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 23 works

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References (13)

Nuclear magic numbers: New features far from stability Sorlin, O.; Porquet, M. -G. Progress in Particle and Nuclear Physics, Vol. 61, Issue 2 https://doi.org/10.1016/j.ppnp.2008.05.001	journal	October 2008
The onset of deformation at the N = 20 neutron shell closure far from stability Poves, A.; Retamosa, J. Physics Letters B, Vol. 184, Issue 4 https://doi.org/10.1016/0370-2693(87)90171-7	journal	February 1987
Rotational band structure in ${}^{32}{Mg}$ Crawford, H. L.; Fallon, P.; Macchiavelli, A. O. Physical Review C, Vol. 93, Issue 3 https://doi.org/10.1103/PhysRevC.93.031303	journal	March 2016
Shape Coexistence Near Neutron Number $N = 20$ : First Identification of the $E 0$ Decay from the Deformed First Excited $J^{π} = 0^{+}$ State in ${}^{30}{Mg}$ Schwerdtfeger, W.; Thirolf, P. G.; Wimmer, K. Physical Review Letters, Vol. 103, Issue 1 https://doi.org/10.1103/PhysRevLett.103.012501	journal	June 2009
Investigating nuclear pairing correlations via microscopic two-particle transfer reactions: The cases of ${}^{112}{Sn}$ , ${}^{32}{Mg}$ , and ${}^{68}{Ni}$ Lay, J. A.; Fortunato, L.; Vitturi, A. Physical Review C, Vol. 89, Issue 3 https://doi.org/10.1103/PhysRevC.89.034618	journal	March 2014
Discovery of the Shape Coexisting $0^{+}$ State in ${}^{32}{Mg}$ by a Two Neutron Transfer Reaction Wimmer, K.; Kröll, T.; Krücken, R. Physical Review Letters, Vol. 105, Issue 25 https://doi.org/10.1103/PhysRevLett.105.252501	journal	December 2010
The puzzle of $^{32}$ Mg Fortune, H. T. Physical Review C, Vol. 84, Issue 2 https://doi.org/10.1103/PhysRevC.84.024327	journal	August 2011
Merging of the islands of inversion at $N = 20$ and $N = 28$ Caurier, E.; Nowacki, F.; Poves, A. Physical Review C, Vol. 90, Issue 1 https://doi.org/10.1103/PhysRevC.90.014302	journal	July 2014
Mass systematics for A =29–44 nuclei: The deformed A ∼32 region Warburton, E. K.; Becker, J. A.; Brown, B. A. Physical Review C, Vol. 41, Issue 3 https://doi.org/10.1103/PhysRevC.41.1147	journal	March 1990
$B (E 2)$ value and configuration mixing in $^{32}$ Mg Fortune, H. T. Physical Review C, Vol. 85, Issue 1 https://doi.org/10.1103/PhysRevC.85.014315	journal	January 2012
Direct Nuclear Reactions Satchler, G. R.; Bertsch, George F. Physics Today, Vol. 37, Issue 2 https://doi.org/10.1063/1.2916094	journal	February 1984
Direct nuclear reactions Landowne, Stephen Nuclear Physics A, Vol. 435, Issue 3-4 https://doi.org/10.1016/0375-9474(85)90193-9	journal	March 1985
Nuclear magic numbers: new features far from stability Sorlin, O.; Porquet, M. -G. arXiv https://doi.org/10.48550/arxiv.0805.2561	text	January 2008

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Ab initio description of collectivity for sd shell nuclei Saxena, Archana; Kumar, Anil; Kumar, Vikas Hyperfine Interactions, Vol. 240, Issue 1 https://doi.org/10.1007/s10751-019-1582-y	journal	April 2019
Intruder dominance in the $0_{2}^{+}$ state of ${}^{32}{Mg}$ studied with a novel technique for in-flight decays Elder, R.; Iwasaki, H.; Ash, J. Physical Review C, Vol. 100, Issue 4 https://doi.org/10.1103/physrevc.100.041301	journal	October 2019

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