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Structure of the Lightest Tin Isotopes

Journal Article · · Physical Review Letters
 [1];  [2];  [3];  [4];  [5];  [6];  [7];  [1];  [4];  [8]
  1. Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  2. TU Darmstadt, Darmstadt (Germany); GSI Helmholtzzentrum fur Schwerionenforschung GmbH, Darmstadt (Germany)
  3. TRIUMF, Vancouver, BC (Canada); Reed College, Portland, OR (United States)
  4. TU Darmstadt, Darmstadt (Germany)
  5. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)
  6. TRIUMF, Vancouver, BC (Canada)
  7. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  8. TU Darmstadt, Darmstadt (Germany); GSI Helmholtzzentrum fur Schwerionenforschung GmbH, Darmstadt (Germany); Max-Planck-Institut fur Kernphysik, Heidelberg (Germany)
Here, we link the structure of nuclei around 100Sn, the heaviest doubly magic nucleus with equal neutron and proton numbers (N=Z=50), to nucleon-nucleon (NN) and three-nucleon (NNN) forces constrained by data of few-nucleon systems. Our results indicate that 100Sn is doubly magic, and we predict its quadrupole collectivity. We present precise computations of 101Sn based on three-particle–two-hole excitations of 100Sn, and we find that one interaction accurately reproduces the small splitting between the lowest Jπ = 7/2+ and 5/2+ states.
Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Grant/Contract Number:
AC05-00OR22725; FG02-96ER40963; SC0008499; SC0018223
OSTI ID:
1474683
Alternate ID(s):
OSTI ID: 1432914
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 15 Vol. 120; ISSN 0031-9007; ISSN PRLTAO
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (107)

Economical triple excitation equation-of-motion coupled-cluster methods for excitation energies journal February 1995
Many-fermion theory in expS- (or coupled cluster) form journal February 1978
Realistic effective interactions for nuclear systems journal October 1995
Structure of the levels in the doubly magic nucleus 50132Sn82 journal March 1980
Identification of the doubly-magic nucleus 100Sn in the reaction 112Sn+natNi at 63 MeV/nucleon journal July 1994
Effective field theory of nuclear forces journal January 1999
Evidence for reduced collectivity around the neutron mid-shell in the stable even-mass Sn isotopes from new lifetime measurements journal January 2011
Lattice effective field theory for medium-mass nuclei journal May 2014
Ab initio path to heavy nuclei journal September 2014
Chiral effective field theory and nuclear forces journal June 2011
The In-Medium Similarity Renormalization Group: A novel ab initio method for nuclei journal March 2016
Self-consistent Green's function method for nuclei and nuclear matter journal April 2004
The structure of 100Sn and neighbouring nuclei journal March 2013
Ab initio no core shell model journal March 2013
The magic nature of 132Sn explored through the single-particle states of 133Sn journal May 2010
Superallowed Gamow–Teller decay of the doubly magic nucleus 100Sn journal June 2012
The limits of the nuclear landscape journal June 2012
Neutron and weak-charge distributions of the 48Ca nucleus journal November 2015
Unexpectedly large charge radii of neutron-rich calcium isotopes journal February 2016
Active-space equation-of-motion coupled-cluster methods for excited states of radicals and other open-shell systems: EA-EOMCCSDt and IP-EOMCCSDt journal October 2005
Improving upon CCSD(T): ΛCCSD(T). I. Potential energy surfaces journal January 2008
The method of moments of coupled-cluster equations and the renormalized CCSD[T], CCSD(T), CCSD(TQ), and CCSDT(Q) approaches journal July 2000
Recent advances in electronic structure theory: Method of moments of coupled-cluster equations and renormalized coupled-cluster approaches journal October 2002
Emergent properties of nuclei from ab initio coupled-cluster calculations journal May 2016
Coupled-cluster computations of atomic nuclei journal September 2014
Recent developments in no-core shell-model calculations journal May 2009
Few-nucleon forces from chiral Lagrangians journal June 1994
Breakup of the doubly magic 100 Sn core journal July 2002
Three-nucleon forces from chiral effective field theory journal December 2002
Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory journal October 2003
Coupled-cluster approach to nuclear physics journal May 2004
Observation of a core-excited E 4 isomer in Cd 98 journal June 2004
Low-momentum interaction in few-nucleon systems journal December 2004
Sn 108 studied with intermediate-energy Coulomb excitation journal December 2005
α decay of Te 105 journal June 2006
Similarity renormalization group for nucleon-nucleon interactions journal June 2007
Coupled-cluster theory for three-body Hamiltonians journal September 2007
Ab initio coupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions journal September 2010
Observation of a new high-spin isomer in Pd 94 journal December 2010
Collectivity in the light xenon isotopes: A shell model study journal December 2010
Improved nuclear matter calculations from chiral low-momentum interactions journal March 2011
Toward open-shell nuclei with coupled-cluster theory journal May 2011
High-spin isomers in 96 Ag: Excitations across the Z = 38 and Z = 50 , N = 50 closed shells journal October 2011
Coulomb excitation of 124 , 126 , 128 Sn journal December 2011
In-medium similarity renormalization group for open-shell nuclei journal June 2012
In-medium similarity renormalization group with chiral two- plus three-nucleon interactions journal March 2013
Spherical coupled-cluster theory for open-shell nuclei journal August 2013
Quadrupole collectivity in neutron-deficient Sn nuclei: 104 Sn and the role of proton excitations journal November 2013
Extension of coupled-cluster theory with a noniterative treatment of connected triply excited clusters to three-body Hamiltonians journal November 2013
Chiral two- and three-nucleon forces along medium-mass isotope chains journal June 2014
Intermediate-energy Coulomb excitation of Sn 104 : Moderate E 2 strength decrease approaching Sn 100 journal December 2014
Efficient calculation of chiral three-nucleon forces up to N 3 LO for ab initio studies journal April 2015
Accurate nuclear radii and binding energies from a chiral interaction journal May 2015
Investigation into the semimagic nature of the tin isotopes through electromagnetic moments journal October 2015
Exploring s d -shell nuclei from two- and three-nucleon interactions with realistic saturation properties journal January 2016
Importance-truncated large-scale shell model journal February 2016
Structure of Sn 107 studied through single-neutron knockout reactions journal February 2016
Ground and excited states of doubly open-shell nuclei from ab initio valence-space Hamiltonians journal May 2016
Saturation with chiral interactions and consequences for finite nuclei journal July 2017
Bayesian truncation errors in chiral effective field theory: Nucleon-nucleon observables journal August 2017
Δ isobars and nuclear saturation journal February 2018
0 gs + → 2 1 + Transition Strengths in Sn 106 and Sn 108 journal July 2008
Medium-Mass Nuclei from Chiral Nucleon-Nucleon Interactions journal August 2008
Orbital Dependent Nucleonic Pairing in the Lightest Known Isotopes of Tin journal October 2010
In-Medium Similarity Renormalization Group For Nuclei journal June 2011
Similarity-Transformed Chiral N N + 3 N Interactions for the Ab Initio Description of C 12 and O 16 journal August 2011
Medium-Mass Nuclei with Normal-Ordered Chiral N N + 3 N Interactions journal July 2012
Coulomb Excitation of Sn 104 and the Strength of the Sn 100 Shell Closure journal April 2013
Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order journal May 2013
Double-Magic Nature of Sn 132 and Pb 208 through Lifetime and Cross-Section Measurements journal April 2014
Nonperturbative Shell-Model Interactions from the In-Medium Similarity Renormalization Group journal October 2014
Structure of Ni 78 from First-Principles Computations journal October 2016
Nucleus-Dependent Valence-Space Approach to Nuclear Structure journal January 2017
Light-Nuclei Spectra from Chiral Dynamics journal February 2018
Microscopic Calculation of the Inclusive Electron Scattering Structure Function in O 16 journal February 2000
Coupled Cluster Calculations of Ground and Excited States of Nuclei journal April 2004
Ab-Initio Coupled-Cluster Study of O 16 journal June 2005
Discovery of Xe 109 and Te 105 : Superallowed α Decay near Doubly Magic Sn 100 journal August 2006
Single-Neutron States in Sn 101 journal July 2007
Z = 50 Shell Gap near Sn 100 from Intermediate-Energy Coulomb Excitations in Even-Mass Sn 106 − 112 Isotopes journal October 2007
Coupled-cluster theory in quantum chemistry journal February 2007
Modern theory of nuclear forces journal December 2009
Q UANTUM M ONTE C ARLO C ALCULATIONS OF L IGHT N UCLEI journal December 2001
Coupled-cluster theory for three-body Hamiltonians text January 2007
Modern Theory of Nuclear Forces text January 2008
Recent developments in no-core shell-model calculations text January 2009
Ab initio coupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions text January 2010
In-Medium Similarity Renormalization Group for Nuclei text January 2010
Collectivity in the light Xenon isotopes: A shell model study text January 2010
Chiral effective field theory and nuclear forces text January 2011
Extension of coupled-cluster theory with a non-iterative treatment of connected triply excited clusters to three-body Hamiltonians text January 2013
Lattice Effective Field Theory for Medium-Mass Nuclei text January 2013
Coupled-cluster computations of atomic nuclei text January 2013
Nonperturbative shell-model interactions from the in-medium similarity renormalization group text January 2014
Ground and excited states of doubly open-shell nuclei from ab initio valence-space Hamiltonians text January 2015
The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei text January 2015
Emergent properties of nuclei from ab initio coupled-cluster calculations text January 2016
Unexpectedly large charge radii of neutron-rich calcium isotopes text January 2016
A nucleus-dependent valence-space approach to nuclear structure text January 2016
Light-nuclei spectra from chiral dynamics text January 2017
Three-Nucleon Forces from Chiral Effective Field Theory text January 2002
Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory text January 2003
Coupled cluster approach to nuclear physics text January 2003
Coupled cluster calculations of ground and excited states of nuclei text January 2003
Self-consistent Green's function method for nuclei and nuclear matter text January 2004
Low-momentum interaction in few-nucleon systems text January 2004
Effective Field Theory of Nuclear Forces text January 1999

Cited By (28)

Discrepancy between experimental and theoretical β-decay rates resolved from first principles journal March 2019
78Ni revealed as a doubly magic stronghold against nuclear deformation journal May 2019
The radius of the canonical-mass neutron star and chiral effective field theory journal January 2019
Analytic response relativistic coupled-cluster theory: the first application to indium isotope shifts journal January 2020
Simulations of subatomic many-body physics on a quantum frequency processor journal July 2019
High-resolution ( p , t ) reaction measurements as spectroscopic tests of ab-initio theory in the mid- p f shell journal July 2019
Probing chiral interactions up to next-to-next-to-next-to-leading order in medium-mass nuclei journal August 2019
Variational approximations to exact solutions in shell-model valence spaces: Calcium isotopes in the p f shell journal October 2019
Computing the dipole polarizability of Ca 48 with increased precision journal July 2018
Microscopic optical potentials for calcium isotopes journal October 2018
Pion-less effective field theory for atomic nuclei and lattice nuclei journal November 2018
Excitation spectra of exotic nuclei in a self-consistent phonon-coupling model journal November 2018
Observation of excited states in Mg 20 sheds light on nuclear forces and shell evolution journal February 2019
Precision Mass Measurements of Cr 58 – 63 : Nuclear Collectivity Towards the N = 40 Island of Inversion journal June 2018
Chiral Interactions up to Next-to-Next-to-Next-to-Leading Order and Nuclear Saturation journal January 2019
Global Sensitivity Analysis of Bulk Properties of an Atomic Nucleus journal December 2019
Physics of Nuclei: Key Role of an Emergent Symmetry journal January 2020
First Glimpse of the N = 82 Shell Closure below Z = 50 from Masses of Neutron-Rich Cadmium Isotopes and Isomers journal March 2020
Pre-processing the nuclear many-body problem: Importance truncation versus tensor factorization techniques journal June 2019
First principles electromagnetic responses in medium-mass nuclei: Recent progress from coupled-cluster theory journal December 2019
Chiral interactions up to next-to-next-to-next-to-leading order and nuclear saturation text January 2017
Microscopic optical potentials for calcium isotopes text January 2018
Excitation spectra of exotic nuclei in a self-consistent phonon-coupling model text January 2018
Simulations of Subatomic Many-Body Physics on a Quantum Frequency Processor text January 2018
Pre-processing the nuclear many-body problem: Importance truncation versus tensor factorization techniques text January 2019
Variational approximations to exact solutions in shell-model valence spaces: calcium isotopes in the pf-shell text January 2019
Global sensitivity analysis of bulk properties of an atomic nucleus text January 2019
Analytic Response Relativistic Coupled-Cluster Theory: The first application to indium isotope shifts text January 2019

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