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New insights into backbending in the symmetry-adapted shell-model framework

Journal Article · · Physical Review. C
 [1];  [2];  [3];  [4];  [5];  [3]
  1. Harvey Mudd College, Claremont, CA (United States)
  2. Louisiana State University, Baton Rouge, LA (United States); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
  3. San Diego State University, CA (United States)
  4. Nuclear Physics Institute of the Czech Academy of Sciences, Řež (Czech Republic)
  5. Louisiana State University, Baton Rouge, LA (United States); San Diego State University, CA (United States)
Here we provide insights into the backbending phenomenon within the symmetry-adapted framework which naturally describes the intrinsic deformation of atomic nuclei. For 20Ne, the canonical example of backbending in light nuclei, the ab initio symmetry-adapted no-core shell model shows that while the energy spectrum replicates the backbending from experimental energies under the rotor-model assumption, there is no change in the intrinsic deformation or intrinsic spin of the yrast band around the backbend. For the traditional example of 48Cr, computed in the valence shell with empirical interactions, we confirm a high-spin nucleus that is effectively near-spherical, in agreement with previous models. However, we find that this spherical distribution results, on average, from an almost equal mixing of deformed prolate shapes with deformed oblate shapes. Microscopic calculations confirm the importance of spin alignment and configuration mixing, but surprisingly unveil no anomalous increase in moment of inertia. Furthermore, this finding opens the path toward further understanding the rotational behavior and moment of inertia of medium-mass nuclei.
Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Louisiana State Univ., Baton Rouge, LA (United States); Louisiana State University, Baton Rouge, LA (United States)
Sponsoring Organization:
Czech Science Foundation; National Science Foundation (NSF); U.S. National Science Foundation; USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF); USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
AC02-05CH11231; AC52-07NA27344; FG02-03ER41272; SC0023532
OSTI ID:
2948436
Alternate ID(s):
OSTI ID: 2345935
Journal Information:
Physical Review. C, Journal Name: Physical Review. C Journal Issue: 2 Vol. 108; ISSN 2469-9985; ISSN 2469-9993
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (60)

SU(3) Symmetry in Atomic Nuclei book January 2020
Shape variables and the shell model journal March 1988
Anomalous g-Factor measurements using transient fields journal December 1983
A user's guide to fortran programs for Wigner and Racah coefficients of SU3 journal June 1973
A method for the elimination of spurious states in the nuclear harmonic oscillator shell model journal November 1960
The g-factor of the first excited 4+ state in backbending 20Ne journal May 1980
Algebraic realization of rotational dynamics journal May 1987
Backbending: Coriolis antipairing or rotational alignment? journal January 1976
An SU(3) approach to nuclear multi-cluster problems journal April 1979
Irreducible U(3) tensor interactions in the symplectic collective model journal June 1980
The symplectic shell-model theory of collective states journal April 1986
The coupled-rotor-vibrator model journal November 1989
The shell-model distribution of nuclear shapes journal October 1992
Triaxiality in 48Cr journal March 2000
Band crossing and signature splitting in odd mass shell nuclei journal April 2001
Quasi- truncation scheme for even–even sd-shell nuclei journal July 2001
SU(3) quasi-dynamical symmetry as an organizational mechanism for generating nuclear rotational motions journal January 2000
Programs for generating Clebsch–Gordan coefficients of SU(3) in SU(2) and SO(3) bases journal May 2004
Testing microscopically derived descriptions of nuclear collectivity: Coulomb excitation of 22 Mg journal July 2018
Symmetry-guided large-scale shell-model theory journal July 2016
Wigner and Racah coefficients for SU 3 journal December 1973
Backbending phenomena in light nuclei at A∼60 conference January 2006
A note on recoupling coefficients for SU(3) journal July 1978
Some special SU(3)⊇R(3) Wigner coefficients and their application journal April 1983
Microscopic theory of the nuclear collective model journal October 1985
Rotational bands beyond the Elliott model journal May 2021
Collective motion in the nuclear shell model. I. Classification schemes for states of mixed configurations journal May 1958
Structure of Mg 28 and influence of the neutron p f shell journal July 2019
Nuclear shape coexistence from the perspective of an algebraic many-nucleon version of the Bohr-Mottelson unified model journal May 2020
Limits on assigning a shape to a nucleus journal May 2020
Convergence of electric quadrupole rotational invariants from the nuclear shell model journal November 2020
Nuclear spectra from low-energy interactions journal July 2022
Beta decay of O 21 journal May 1981
Backbending in Cr 50 journal November 1996
Microscopic description of the scissors mode and its fragmentation journal March 1998
Backbending phenomenon in 48 Cr journal November 1998
New effective interaction for p f -shell nuclei and its implications for the stability of the N = Z = 28 closed core journal March 2004
Cranked Nilsson-Strutinsky vs the spherical shell model: A comparative study of pf -shell nuclei journal April 2006
Dominant role of symplectic symmetry in ab initio no-core shell model results for light nuclei journal July 2007
sd -shell observables for the USDA and USDB Hamiltonians journal December 2008
Can one identify the intrinsic structure of the yrast states in Cr 48 after the backbending? journal May 2011
Symplectic no-core shell-model approach to intermediate-mass nuclei journal March 2014
Spin-orbit decomposition of ab initio nuclear wave functions journal March 2015
Quasidynamical symmetries in the backbending of chromium isotopes journal February 2017
Statistical theory of deformation distributions in nuclear spectra journal September 2018
Isospin symmetry in B ( E 2 ) values: Coulomb excitation study of Mg 21 journal May 2019
Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order journal May 2013
Physics of Nuclei: Key Role of an Emergent Symmetry journal January 2020
Unmixing Symmetries journal April 2020
Nuclear Sp ( 3 ,   R ) Model journal January 1977
Backbending in Ne 22 journal March 1979
Intrinsic vs Laboratory Frame Description of the Deformed Nucleus 48 Cr journal September 1995
Backbending Mechanism of 48 Cr journal September 1999
Evidence for Symplectic Symmetry in Ab Initio No-Core Shell Model Results for Light Nuclei journal April 2007
Coriolis effects and rotation alignment in nuclei journal January 1975
Fundamentals of Nuclear Models book March 2010
STUDIES OF 44Ti AND 48Cr NUCLEI WITHIN VARIATIONAL MEAN FIELD THEORY journal November 2010
Approximate symmetries in atomic nuclei from a large-scale shell-model perspective journal May 2015
Yrast Structure Change of 20Ne journal May 1987
Nuclear Dynamics and Reactions in the Ab Initio Symmetry-Adapted Framework journal September 2021