Structure of the Lightest Tin Isotopes

Morris, Titus D.; Simonis, Johannes; Stroberg, S. R.; Stumpf, C.; Hagen, Gaute; Holt, J. D.; Jansen, Gustav R.; Papenbrock, Thomas F.; Roth, R.; Schwenk, Achim

doi:10.1103/PhysRevLett.120.152503

Title: Structure of the Lightest Tin Isotopes

Abstract

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 J^π = 7/2⁺ and 5/2⁺ states.

Authors:

^[1]; Simonis, Johannes ^[2]; Stroberg, S. R. ^[3]; Stumpf, C. ^[4];

^[5]; Holt, J. D. ^[6];

^[7];

^[1]; Roth, R. ^[4]; Schwenk, Achim ^[8]

Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
TU Darmstadt, Darmstadt (Germany); GSI Helmholtzzentrum fur Schwerionenforschung GmbH, Darmstadt (Germany)
TRIUMF, Vancouver, BC (Canada); Reed College, Portland, OR (United States)
TU Darmstadt, Darmstadt (Germany)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)
TRIUMF, Vancouver, BC (Canada)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
TU Darmstadt, Darmstadt (Germany); GSI Helmholtzzentrum fur Schwerionenforschung GmbH, Darmstadt (Germany); Max-Planck-Institut fur Kernphysik, Heidelberg (Germany)

Publication Date:: Thu Apr 12 00:00:00 EDT 2018

Research Org.:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1474683

Alternate Identifier(s):: OSTI ID: 1432914

Grant/Contract Number:: AC05-00OR22725; FG02-96ER40963; SC0008499; SC0018223; ERKBP57

Resource Type:: Journal Article: Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 120; Journal Issue: 15; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats


                    Morris, Titus D., Simonis, Johannes, Stroberg, S. R., Stumpf, C., Hagen, Gaute, Holt, J. D., Jansen, Gustav R., Papenbrock, Thomas F., Roth, R., and Schwenk, Achim. Structure of the Lightest Tin Isotopes.  United States: N. p., 2018. 
        Web.  doi:10.1103/PhysRevLett.120.152503.

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                    Morris, Titus D., Simonis, Johannes, Stroberg, S. R., Stumpf, C., Hagen, Gaute, Holt, J. D., Jansen, Gustav R., Papenbrock, Thomas F., Roth, R., & Schwenk, Achim. Structure of the Lightest Tin Isotopes.  United States.  https://doi.org/10.1103/PhysRevLett.120.152503

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                    Morris, Titus D., Simonis, Johannes, Stroberg, S. R., Stumpf, C., Hagen, Gaute, Holt, J. D., Jansen, Gustav R., Papenbrock, Thomas F., Roth, R., and Schwenk, Achim. 2018.  
        "Structure of the Lightest Tin Isotopes".  United States.  https://doi.org/10.1103/PhysRevLett.120.152503.  https://www.osti.gov/servlets/purl/1474683.

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@article{osti_1474683,

  title        = {Structure of the Lightest Tin Isotopes},

  author       = {Morris, Titus D. and Simonis, Johannes and Stroberg, S. R. and Stumpf, C. and Hagen, Gaute and Holt, J. D. and Jansen, Gustav R. and Papenbrock, Thomas F. and Roth, R. and Schwenk, Achim},

  abstractNote = {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.},

  doi          = {10.1103/PhysRevLett.120.152503},

  url          = {https://www.osti.gov/biblio/1474683},
  journal      = {Physical Review Letters},

  issn         = {0031-9007},

  number       = 15,

  volume       = 120,

  place        = {United States},

  year         = {Thu Apr 12 00:00:00 EDT 2018},

  month        = {Thu Apr 12 00:00:00 EDT 2018}

}

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Title: Structure of the Lightest Tin Isotopes

Abstract

Citation Formats

Structure of Sn 107 studied through single-neutron knockout reactions journal, February 2016

Ab initio no core shell model journal, March 2013

Improving upon CCSD(T): ΛCCSD(T). I. Potential energy surfaces journal, January 2008

In-medium similarity renormalization group with chiral two- plus three-nucleon interactions journal, March 2013

α decay of Te 105 journal, June 2006

The structure of 100Sn and neighbouring nuclei journal, March 2013

The limits of the nuclear landscape journal, June 2012

Toward open-shell nuclei with coupled-cluster theory journal, May 2011

Effective field theory of nuclear forces journal, January 1999

Sn 108 studied with intermediate-energy Coulomb excitation journal, December 2005

Ground and excited states of doubly open-shell nuclei from ab initio valence-space Hamiltonians journal, May 2016

Improved nuclear matter calculations from chiral low-momentum interactions journal, March 2011

Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order journal, May 2013

Medium-Mass Nuclei with Normal-Ordered Chiral N N + 3 N Interactions journal, July 2012

Ab initio coupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions journal, September 2010

Efficient calculation of chiral three-nucleon forces up to N 3 LO for ab initio studies journal, April 2015

Light-Nuclei Spectra from Chiral Dynamics journal, February 2018

Few-nucleon forces from chiral Lagrangians journal, June 1994

Intermediate-energy Coulomb excitation of Sn 104 : Moderate E 2 strength decrease approaching Sn 100 journal, December 2014

Investigation into the semimagic nature of the tin isotopes through electromagnetic moments journal, October 2015

Emergent properties of nuclei from ab initio coupled-cluster calculations journal, May 2016

Saturation with chiral interactions and consequences for finite nuclei journal, July 2017

Single-Neutron States in Sn 101 journal, July 2007

Microscopic Calculation of the Inclusive Electron Scattering Structure Function in O 16 journal, February 2000

Many-fermion theory in expS- (or coupled cluster) form journal, February 1978

Recent developments in no-core shell-model calculations journal, May 2009

Superallowed Gamow–Teller decay of the doubly magic nucleus 100Sn journal, June 2012

Coulomb Excitation of Sn 104 and the Strength of the Sn 100 Shell Closure journal, April 2013

Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory journal, October 2003

Double-Magic Nature of Sn 132 and Pb 208 through Lifetime and Cross-Section Measurements journal, April 2014

Q UANTUM M ONTE C ARLO C ALCULATIONS OF L IGHT N UCLEI journal, December 2001

Z = 50 Shell Gap near Sn 100 from Intermediate-Energy Coulomb Excitations in Even-Mass Sn 106 − 112 Isotopes journal, October 2007

Ab initio path to heavy nuclei journal, September 2014

Orbital Dependent Nucleonic Pairing in the Lightest Known Isotopes of Tin journal, October 2010

Coupled-cluster computations of atomic nuclei journal, September 2014

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

Identification of the doubly-magic nucleus 100Sn in the reaction 112Sn+natNi at 63 MeV/nucleon journal, July 1994

Coupled-cluster theory in quantum chemistry journal, February 2007

The magic nature of 132Sn explored through the single-particle states of 133Sn journal, May 2010

Breakup of the doubly magic 100 Sn core journal, July 2002

High-spin isomers in 96 Ag: Excitations across the Z = 38 and Z = 50 , N = 50 closed shells journal, October 2011

Collectivity in the light xenon isotopes: A shell model study journal, December 2010

Nucleus-Dependent Valence-Space Approach to Nuclear Structure journal, January 2017

Chiral effective field theory and nuclear forces journal, June 2011

Coupled-cluster theory for three-body Hamiltonians journal, September 2007

Exploring s d -shell nuclei from two- and three-nucleon interactions with realistic saturation properties journal, January 2016

Quadrupole collectivity in neutron-deficient Sn nuclei: 104 Sn and the role of proton excitations journal, November 2013

Structure of the levels in the doubly magic nucleus 50132Sn82 journal, March 1980

Evidence for reduced collectivity around the neutron mid-shell in the stable even-mass Sn isotopes from new lifetime measurements journal, January 2011

Neutron and weak-charge distributions of the 48Ca nucleus journal, November 2015

Similarity renormalization group for nucleon-nucleon interactions journal, June 2007

Recent advances in electronic structure theory: Method of moments of coupled-cluster equations and renormalized coupled-cluster approaches journal, October 2002

Observation of a new high-spin isomer in Pd 94 journal, December 2010

Modern theory of nuclear forces journal, December 2009

Low-momentum interaction in few-nucleon systems journal, December 2004

0 gs + → 2 1 + Transition Strengths in Sn 106 and Sn 108 journal, July 2008

Realistic effective interactions for nuclear systems journal, October 1995

Δ isobars and nuclear saturation journal, February 2018

Importance-truncated large-scale shell model journal, February 2016

Coulomb excitation of 124 , 126 , 128 Sn journal, December 2011

Chiral two- and three-nucleon forces along medium-mass isotope chains journal, June 2014

Lattice effective field theory for medium-mass nuclei journal, May 2014

The method of moments of coupled-cluster equations and the renormalized CCSD[T], CCSD(T), CCSD(TQ), and CCSDT(Q) approaches journal, July 2000

Nonperturbative Shell-Model Interactions from the In-Medium Similarity Renormalization Group journal, October 2014

In-medium similarity renormalization group for open-shell nuclei journal, June 2012

The In-Medium Similarity Renormalization Group: A novel ab initio method for nuclei journal, March 2016

Three-nucleon forces from chiral effective field theory journal, December 2002

Observation of a core-excited E 4 isomer in Cd 98 journal, June 2004

Self-consistent Green's function method for nuclei and nuclear matter journal, April 2004

Structure of Ni 78 from First-Principles Computations journal, October 2016

Accurate nuclear radii and binding energies from a chiral interaction journal, May 2015

Discovery of Xe 109 and Te 105 : Superallowed α Decay near Doubly Magic Sn 100 journal, August 2006

Spherical coupled-cluster theory for open-shell nuclei journal, August 2013

Similarity-Transformed Chiral N N + 3 N Interactions for the Ab Initio Description of C 12 and O 16 journal, August 2011

Unexpectedly large charge radii of neutron-rich calcium isotopes journal, February 2016

Bayesian truncation errors in chiral effective field theory: Nucleon-nucleon observables journal, August 2017

Coupled-cluster theory for three-body Hamiltonians text, January 2007

Structure of ${}^{107}{Sn}$ studied through single-neutron knockout reactions
journal, February 2016

Ab initio no core shell model
journal, March 2013

Improving upon CCSD(T): ΛCCSD(T). I. Potential energy surfaces
journal, January 2008

In-medium similarity renormalization group with chiral two- plus three-nucleon interactions
journal, March 2013

α decay of ${}^{105}{Te}$
journal, June 2006

The structure of 100Sn and neighbouring nuclei
journal, March 2013

The limits of the nuclear landscape
journal, June 2012

Toward open-shell nuclei with coupled-cluster theory
journal, May 2011

Effective field theory of nuclear forces
journal, January 1999

${}^{108}{Sn}$ studied with intermediate-energy Coulomb excitation
journal, December 2005

Ground and excited states of doubly open-shell nuclei from ab initio valence-space Hamiltonians
journal, May 2016

Improved nuclear matter calculations from chiral low-momentum interactions
journal, March 2011

Optimized Chiral Nucleon-Nucleon Interaction at Next-to-Next-to-Leading Order
journal, May 2013

Medium-Mass Nuclei with Normal-Ordered Chiral $N N + 3 N$ Interactions
journal, July 2012

Ab initio coupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions
journal, September 2010

Efficient calculation of chiral three-nucleon forces up to $N^{3} LO$ for ab initio studies
journal, April 2015

Light-Nuclei Spectra from Chiral Dynamics
journal, February 2018

Few-nucleon forces from chiral Lagrangians
journal, June 1994

Intermediate-energy Coulomb excitation of ${}^{104}{Sn}$ : Moderate $E 2$ strength decrease approaching ${}^{100}{Sn}$
journal, December 2014

Investigation into the semimagic nature of the tin isotopes through electromagnetic moments
journal, October 2015

Emergent properties of nuclei from ab initio coupled-cluster calculations
journal, May 2016

Saturation with chiral interactions and consequences for finite nuclei
journal, July 2017

Single-Neutron States in ${}^{101}{Sn}$
journal, July 2007

Microscopic Calculation of the Inclusive Electron Scattering Structure Function in ${}^{16}O$
journal, February 2000

Many-fermion theory in expS- (or coupled cluster) form
journal, February 1978

Recent developments in no-core shell-model calculations
journal, May 2009

Superallowed Gamow–Teller decay of the doubly magic nucleus 100Sn
journal, June 2012

Coulomb Excitation of ${}^{104}{Sn}$ and the Strength of the ${}^{100}{Sn}$ Shell Closure
journal, April 2013

Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory
journal, October 2003

Double-Magic Nature of ${}^{132}{Sn}$ and ${}^{208}{Pb}$ through Lifetime and Cross-Section Measurements
journal, April 2014

Q UANTUM M ONTE C ARLO C ALCULATIONS OF L IGHT N UCLEI
journal, December 2001

$Z = 50$ Shell Gap near ${}^{100}{Sn}$ from Intermediate-Energy Coulomb Excitations in Even-Mass ${}^{106 - 112}{Sn}$ Isotopes
journal, October 2007

Ab initio path to heavy nuclei
journal, September 2014

Orbital Dependent Nucleonic Pairing in the Lightest Known Isotopes of Tin
journal, October 2010

Coupled-cluster computations of atomic nuclei
journal, September 2014

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

Identification of the doubly-magic nucleus 100Sn in the reaction 112Sn+natNi at 63 MeV/nucleon
journal, July 1994

Coupled-cluster theory in quantum chemistry
journal, February 2007

The magic nature of 132Sn explored through the single-particle states of 133Sn
journal, May 2010

Breakup of the doubly magic $^{100} Sn$ core
journal, July 2002

High-spin isomers in $^{96}$ Ag: Excitations across the $Z = 38$ and $Z = 50$ , $N = 50$ closed shells
journal, October 2011

Collectivity in the light xenon isotopes: A shell model study
journal, December 2010

Nucleus-Dependent Valence-Space Approach to Nuclear Structure
journal, January 2017

Chiral effective field theory and nuclear forces
journal, June 2011

Coupled-cluster theory for three-body Hamiltonians
journal, September 2007

Exploring $s d$ -shell nuclei from two- and three-nucleon interactions with realistic saturation properties
journal, January 2016

Quadrupole collectivity in neutron-deficient Sn nuclei: $^{104}$ Sn and the role of proton excitations
journal, November 2013

Structure of the levels in the doubly magic nucleus 50132Sn82
journal, March 1980

Evidence for reduced collectivity around the neutron mid-shell in the stable even-mass Sn isotopes from new lifetime measurements
journal, January 2011

Neutron and weak-charge distributions of the 48Ca nucleus
journal, November 2015

Similarity renormalization group for nucleon-nucleon interactions
journal, June 2007

Recent advances in electronic structure theory: Method of moments of coupled-cluster equations and renormalized coupled-cluster approaches
journal, October 2002

Observation of a new high-spin isomer in ${}^{94}{Pd}$
journal, December 2010

Modern theory of nuclear forces
journal, December 2009

Low-momentum interaction in few-nucleon systems
journal, December 2004

$0_{gs}^{+} \to 2_{1}^{+}$ Transition Strengths in ${}^{106}{Sn}$ and ${}^{108}{Sn}$
journal, July 2008

Realistic effective interactions for nuclear systems
journal, October 1995

$Δ$ isobars and nuclear saturation
journal, February 2018

Importance-truncated large-scale shell model
journal, February 2016

Coulomb excitation of $^{124, 126, 128}$ Sn
journal, December 2011

Chiral two- and three-nucleon forces along medium-mass isotope chains
journal, June 2014

Lattice effective field theory for medium-mass nuclei
journal, May 2014

The method of moments of coupled-cluster equations and the renormalized CCSD[T], CCSD(T), CCSD(TQ), and CCSDT(Q) approaches
journal, July 2000

Nonperturbative Shell-Model Interactions from the In-Medium Similarity Renormalization Group
journal, October 2014

In-medium similarity renormalization group for open-shell nuclei
journal, June 2012

The In-Medium Similarity Renormalization Group: A novel ab initio method for nuclei
journal, March 2016

Three-nucleon forces from chiral effective field theory
journal, December 2002

Observation of a core-excited $E 4$ isomer in ${}^{98}{Cd}$
journal, June 2004

Self-consistent Green's function method for nuclei and nuclear matter
journal, April 2004

Structure of ${}^{78}{Ni}$ from First-Principles Computations
journal, October 2016

Accurate nuclear radii and binding energies from a chiral interaction
journal, May 2015

Discovery of ${}^{109}{Xe}$ and ${}^{105}{Te}$ : Superallowed $α$ Decay near Doubly Magic ${}^{100}{Sn}$
journal, August 2006

Spherical coupled-cluster theory for open-shell nuclei
journal, August 2013

Similarity-Transformed Chiral $N N + 3 N$ Interactions for the Ab Initio Description of ${}^{12}C$ and ${}^{16}O$
journal, August 2011

Unexpectedly large charge radii of neutron-rich calcium isotopes
journal, February 2016

Bayesian truncation errors in chiral effective field theory: Nucleon-nucleon observables
journal, August 2017

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