Nuclear deformation in the laboratory frame

Gilbreth, C. N.; Alhassid, Y.; Bertsch, G. F.

doi:10.1103/physrevc.97.014315

Title: Nuclear deformation in the laboratory frame

Journal Article · Tue Jan 23 00:00:00 EST 2018 · Physical Review. C

DOI:https://doi.org/10.1103/physrevc.97.014315· OSTI ID:1541020

Gilbreth, C. N. ^[1]; Alhassid, Y. ^[2]; Bertsch, G. F. ^[1]

University of Washington, Seattle, WA (United States)
Yale University, New Haven, CT (United States)

Here we develop a formalism for calculating the distribution of the axial quadrupole operator in the laboratory frame within the rotationally invariant framework of the configuration-interaction shell model. The calculation is carried out using a finite-temperature auxiliary-field quantum Monte Carlo method. We apply this formalism to isotope chains of even-mass samarium and neodymium nuclei and show that the quadrupole distribution provides a model-independent signature of nuclear deformation. Two technical advances are described that greatly facilitate the calculations. The first is to exploit the rotational invariance of the underlying Hamiltonian to reduce the statistical fluctuations in the Monte Carlo calculations. The second is to determine quadruple invariants from the distribution of the axial quadrupole operator in the laboratory frame. This allows us to extract effective values of the intrinsic quadrupole shape parameters without invoking an intrinsic frame or a mean-field approximation.

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Research Organization:: Univ. of Washington, Seattle, WA (United States); Yale Univ., New Haven, CT (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG02-00ER41132; FG02-91ER40608; AC02-05CH11231

OSTI ID:: 1541020

Alternate ID(s):: OSTI ID: 1417770

Journal Information:: Physical Review. C, Vol. 97, Issue 1; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 10 works

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References (20)

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