Effective shell-model interaction for nuclei “southeast” of 100Sn

Sun, ZHONGHAO; Hagen, Gaute; Jansen, Gustav; Papenbrock, Thomas F.

doi:10.1103/physrevc.104.064310

Title: Effective shell-model interaction for nuclei “southeast” of ¹⁰⁰Sn

Journal Article · Tue Dec 14 00:00:00 EST 2021 · Physical Review C

DOI:https://doi.org/10.1103/physrevc.104.064310· OSTI ID:1836447

^[1];

^[2];

^[1]

Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

We construct an effective shell-model interaction for the valence space spanned by single-particle neutron and single-hole proton states in ¹⁰⁰Sn. Starting from chiral nucleon-nucleon and three-nucleon forces and single-reference coupled-cluster theory for ¹⁰⁰Sn we apply a second similarity transformation that decouples the valence space. The particle-particle components of the resulting effective interaction can be used in shell model calculations for neutron deficient tin isotopes. The hole-hole interaction can be used to calculate the N=50 isotones south of ¹⁰⁰Sn, and the full particle-hole interaction describes nuclei in the region southeast of ¹⁰⁰Sn. We compute low-lying excited states in selected nuclei southeast of ¹⁰⁰Sn, and find reasonable agreement with data. The presented techniques can also be applied to construct effective shell-model interactions for other regions of the nuclear chart.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

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

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1836447

Journal Information:: Physical Review C, Vol. 104, Issue 6; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (73)

Projected coupled cluster theory Qiu, Yiheng; Henderson, Thomas M.; Zhao, Jinmo The Journal of Chemical Physics, Vol. 147, Issue 6 https://doi.org/10.1063/1.4991020	journal	August 2017
Structure of the Lightest Tin Isotopes Morris, T. D.; Simonis, J.; Stroberg, S. R. Physical Review Letters, Vol. 120, Issue 15 https://doi.org/10.1103/PhysRevLett.120.152503	journal	April 2018
On the exponential solution of differential equations for a linear operator Magnus, Wilhelm Communications on Pure and Applied Mathematics, Vol. 7, Issue 4 https://doi.org/10.1002/cpa.3160070404	journal	November 1954
α decay of ${}^{105}{Te}$ Seweryniak, D.; Starosta, K.; Davids, C. N. Physical Review C, Vol. 73, Issue 6 https://doi.org/10.1103/PhysRevC.73.061301	journal	June 2006
New mass data for the rp-process above Z = 32 Herfurth, F.; Audi, G.; Beck, D. The European Physical Journal A, Vol. 47, Issue 6 https://doi.org/10.1140/epja/i2011-11075-6	journal	June 2011
The structure of 100Sn and neighbouring nuclei Faestermann, T.; Górska, M.; Grawe, H. Progress in Particle and Nuclear Physics, Vol. 69 https://doi.org/10.1016/j.ppnp.2012.10.002	journal	March 2013
Toward open-shell nuclei with coupled-cluster theory Jansen, G. R.; Hjorth-Jensen, M.; Hagen, G. Physical Review C, Vol. 83, Issue 5 https://doi.org/10.1103/PhysRevC.83.054306	journal	May 2011
Shell-model calculations and realistic effective interactions Coraggio, L.; Covello, A.; Gargano, A. Progress in Particle and Nuclear Physics, Vol. 62, Issue 1 https://doi.org/10.1016/j.ppnp.2008.06.001	journal	January 2009
Effective field theory of nuclear forces Van Kolck, U. Progress in Particle and Nuclear Physics, Vol. 43 https://doi.org/10.1016/S0146-6410(99)00097-6	journal	January 1999
Accurate bulk properties of nuclei from $A = 2$ to $\infty$ from potentials with $Δ$ isobars Jiang, W. G.; Ekström, A.; Forssén, C. Physical Review C, Vol. 102, Issue 5 https://doi.org/10.1103/PhysRevC.102.054301	journal	November 2020
Status of the Nuclear Shell Model Brown, B. A.; Wildenthal, B. H. Annual Review of Nuclear and Particle Science, Vol. 38, Issue 1 https://doi.org/10.1146/annurev.ns.38.120188.000333	journal	December 1988
Ground and excited states of doubly open-shell nuclei from ab initio valence-space Hamiltonians Stroberg, S. R.; Hergert, H.; Holt, J. D. Physical Review C, Vol. 93, Issue 5 https://doi.org/10.1103/PhysRevC.93.051301	journal	May 2016
Improved Value for the Gamow-Teller Strength of the ${}^{100}{Sn}$ Beta Decay Lubos, D.; Park, J.; Faestermann, T. Physical Review Letters, Vol. 122, Issue 22 https://doi.org/10.1103/PhysRevLett.122.222502	journal	June 2019
Monte Carlo shell model for atomic nuclei Otsuka, T.; Honma, M.; Mizusaki, T. Progress in Particle and Nuclear Physics, Vol. 47, Issue 1 https://doi.org/10.1016/S0146-6410(01)00157-0	journal	January 2001
Nonempirical Interactions for the Nuclear Shell Model: An Update Stroberg, S. Ragnar; Hergert, Heiko; Bogner, Scott K. Annual Review of Nuclear and Particle Science, Vol. 69, Issue 1 https://doi.org/10.1146/annurev-nucl-101917-021120	journal	October 2019
Improved nuclear matter calculations from chiral low-momentum interactions Hebeler, K.; Bogner, S. K.; Furnstahl, R. J. Physical Review C, Vol. 83, Issue 3 https://doi.org/10.1103/PhysRevC.83.031301	journal	March 2011
The nuclear shell model towards the drip lines Brown, B. A. Progress in Particle and Nuclear Physics, Vol. 47, Issue 2 https://doi.org/10.1016/S0146-6410(01)00159-4	journal	January 2001
New “USD” Hamiltonians for the $sd$ shell Brown, B. Alex; Richter, W. A. Physical Review C, Vol. 74, Issue 3 https://doi.org/10.1103/PhysRevC.74.034315	journal	September 2006
Medium-Mass Nuclei with Normal-Ordered Chiral $N N + 3 N$ Interactions Roth, Robert; Binder, Sven; Vobig, Klaus Physical Review Letters, Vol. 109, Issue 5 https://doi.org/10.1103/PhysRevLett.109.052501	journal	July 2012
Realistic shell-model calculations for neutron-rich calcium isotopes Coraggio, L.; Covello, A.; Gargano, A. Journal of Physics: Conference Series, Vol. 267 https://doi.org/10.1088/1742-6596/267/1/012021	journal	January 2011
Efficient calculation of chiral three-nucleon forces up to $N^{3} LO$ for ab initio studies Hebeler, K.; Krebs, H.; Epelbaum, E. Physical Review C, Vol. 91, Issue 4 https://doi.org/10.1103/PhysRevC.91.044001	journal	April 2015
New effective interaction for $p f$ -shell nuclei and its implications for the stability of the $N = Z = 28$ closed core Honma, M.; Otsuka, T.; Brown, B. A. Physical Review C, Vol. 69, Issue 3 https://doi.org/10.1103/PhysRevC.69.034335	journal	March 2004
Convergence of effective hamiltonian expansion and partial summations of folded diagrams Krenciglowa, E. M.; Kuo, T. T. S. Nuclear Physics A, Vol. 235, Issue 1 https://doi.org/10.1016/0375-9474(74)90184-5	journal	December 1974
Shell-model coupled-cluster method for open-shell nuclei Sun, Z. H.; Morris, T. D.; Hagen, G. Physical Review C, Vol. 98, Issue 5 https://doi.org/10.1103/PhysRevC.98.054320	journal	November 2018
Emergent properties of nuclei from ab initio coupled-cluster calculations Hagen, G.; Hjorth-Jensen, M.; Jansen, G. R. Physica Scripta, Vol. 91, Issue 6 https://doi.org/10.1088/0031-8949/91/6/063006	journal	May 2016
β decay of $^{100} In$ Plettner, C.; Batist, L.; Döring, J. Physical Review C, Vol. 66, Issue 4 https://doi.org/10.1103/PhysRevC.66.044319	journal	October 2002
Higher-order terms and the apparent non-convergence of the perturbation expansion for the effective interaction in finite nuclei Barrett, Bruce R.; Kirson, Michael W. Nuclear Physics A, Vol. 148, Issue 1 https://doi.org/10.1016/0375-9474(70)90617-2	journal	June 1970
Many-fermion theory in expS- (or coupled cluster) form Kümmel, H.; Lührmann, K. H.; Zabolitzky, J. G. Physics Reports, Vol. 36, Issue 1 https://doi.org/10.1016/0370-1573(78)90081-9	journal	February 1978
Reaction matrix elements for the 0f-1p shell nuclei Kuo, T. T. S.; Brown, G. E. Nuclear Physics A, Vol. 114, Issue 2 https://doi.org/10.1016/0375-9474(68)90353-9	journal	June 1968
Theoretical spectroscopy and the fp shell Poves, A.; Zuker, A. Physics Reports, Vol. 70, Issue 4 https://doi.org/10.1016/0370-1573(81)90153-8	journal	April 1981
Discrepancy between experimental and theoretical β-decay rates resolved from first principles Gysbers, P.; Hagen, G.; Holt, J. D. Nature Physics, Vol. 15, Issue 5 https://doi.org/10.1038/s41567-019-0450-7	journal	March 2019
Superallowed Gamow–Teller decay of the doubly magic nucleus 100Sn Hinke, C. B.; Böhmer, M.; Boutachkov, P. Nature, Vol. 486, Issue 7403 https://doi.org/10.1038/nature11116	journal	June 2012
Magnus expansion and in-medium similarity renormalization group Morris, T. D.; Parzuchowski, N. M.; Bogner, S. K. Physical Review C, Vol. 92, Issue 3 https://doi.org/10.1103/PhysRevC.92.034331	journal	September 2015
Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory Entem, D. R.; Machleidt, R. Physical Review C, Vol. 68, Issue 4 https://doi.org/10.1103/PhysRevC.68.041001	journal	October 2003
A folded-diagram expansion of the model-space effective hamiltonian Kuo, T. T. S.; Lee, S. Y.; Ratcliff, K. F. Nuclear Physics A, Vol. 176, Issue 1 https://doi.org/10.1016/0375-9474(71)90731-7	journal	November 1971
Coupled-cluster computations of atomic nuclei Hagen, G.; Papenbrock, T.; Hjorth-Jensen, M. Reports on Progress in Physics, Vol. 77, Issue 9 https://doi.org/10.1088/0034-4885/77/9/096302	journal	September 2014
Orbital Dependent Nucleonic Pairing in the Lightest Known Isotopes of Tin Darby, I. G.; Grzywacz, R. K.; Batchelder, J. C. Physical Review Letters, Vol. 105, Issue 16 https://doi.org/10.1103/PhysRevLett.105.162502	journal	October 2010
Ab initio multishell valence-space Hamiltonians and the island of inversion Miyagi, T.; Stroberg, S. R.; Holt, J. D. Physical Review C, Vol. 102, Issue 3 https://doi.org/10.1103/PhysRevC.102.034320	journal	September 2020
Coupled-cluster theory in quantum chemistry Bartlett, Rodney J.; Musiał, Monika Reviews of Modern Physics, Vol. 79, Issue 1 https://doi.org/10.1103/RevModPhys.79.291	journal	February 2007
The shell model as a unified view of nuclear structure Caurier, E.; Martínez-Pinedo, G.; Nowacki, F. Reviews of Modern Physics, Vol. 77, Issue 2 https://doi.org/10.1103/RevModPhys.77.427	journal	June 2005
Spin-projected coupled-cluster theory with single and double excitations He, Yuan; Cremer, Dieter Theoretical Chemistry Accounts: Theory, Computation, and Modeling (Theoretica Chimica Acta), Vol. 105, Issue 2 https://doi.org/10.1007/s002140000195	journal	December 2000
Ab initio effective interactions for $s d$ -shell valence nucleons Dikmen, E.; Lisetskiy, A. F.; Barrett, B. R. Physical Review C, Vol. 91, Issue 6 https://doi.org/10.1103/PhysRevC.91.064301	journal	June 2015
Effective shell-model hamiltonians from realistic nucleon–nucleon potentials within a perturbative approach Coraggio, L.; Covello, A.; Gargano, A. Annals of Physics, Vol. 327, Issue 9 https://doi.org/10.1016/j.aop.2012.04.013	journal	September 2012
Nucleus-Dependent Valence-Space Approach to Nuclear Structure Stroberg, S. R.; Calci, A.; Hergert, H. Physical Review Letters, Vol. 118, Issue 3 https://doi.org/10.1103/PhysRevLett.118.032502	journal	January 2017
Open $s d$ -shell nuclei from first principles Jansen, G. R.; Schuster, M. D.; Signoracci, A. Physical Review C, Vol. 94, Issue 1 https://doi.org/10.1103/PhysRevC.94.011301	journal	July 2016
Model-independent low momentum nucleon interaction from phase shift equivalence Bogner, S. K.; Kuo, T. T. S.; Schwenk, A. Physics Reports, Vol. 386, Issue 1 https://doi.org/10.1016/j.physrep.2003.07.001	journal	October 2003
Coupled-cluster theory for three-body Hamiltonians Hagen, G.; Papenbrock, T.; Dean, D. J. Physical Review C, Vol. 76, Issue 3 https://doi.org/10.1103/PhysRevC.76.034302	journal	September 2007
Ground-state properties of doubly magic nuclei from the unitary-model-operator approach with chiral two- and three-nucleon forces Miyagi, T.; Abe, T.; Kohno, M. Physical Review C, Vol. 100, Issue 3 https://doi.org/10.1103/PhysRevC.100.034310	journal	September 2019
Similarity renormalization group for nucleon-nucleon interactions Bogner, S. K.; Furnstahl, R. J.; Perry, R. J. Physical Review C, Vol. 75, Issue 6 https://doi.org/10.1103/PhysRevC.75.061001	journal	June 2007
Isomer studies in the vicinity of the doubly-magic nucleus 100Sn: Observation of a new low-lying isomeric state in 97Ag Hornung, Christine; Amanbayev, Daler; Dedes, Irene Physics Letters B, Vol. 802 https://doi.org/10.1016/j.physletb.2020.135200	journal	March 2020
Bound states of a many-particle system Coester, F. Nuclear Physics, Vol. 7 https://doi.org/10.1016/0029-5582(58)90280-3	journal	June 1958
Realistic effective interactions for nuclear systems Hjorth-Jensen, Morten; Kuo, Thomas T. S.; Osnes, Eivind Physics Reports, Vol. 261, Issue 3-4 https://doi.org/10.1016/0370-1573(95)00012-6	journal	October 1995
Convergent Theory for Effective Interaction in Nuclei Suzuki, K.; Lee, S. Y. Progress of Theoretical Physics, Vol. 64, Issue 6 https://doi.org/10.1143/PTP.64.2091	journal	December 1980
Ab-initio shell model with a core Lisetskiy, A. F.; Barrett, B. R.; Kruse, M. K. G. Physical Review C, Vol. 78, Issue 4 https://doi.org/10.1103/PhysRevC.78.044302	journal	October 2008
Nonperturbative Shell-Model Interactions from the In-Medium Similarity Renormalization Group Bogner, S. K.; Hergert, H.; Holt, J. D. Physical Review Letters, Vol. 113, Issue 14 https://doi.org/10.1103/PhysRevLett.113.142501	journal	October 2014
Ab Initio Coupled-Cluster Effective Interactions for the Shell Model: Application to Neutron-Rich Oxygen and Carbon Isotopes Jansen, G. R.; Engel, J.; Hagen, G. Physical Review Letters, Vol. 113, Issue 14 https://doi.org/10.1103/PhysRevLett.113.142502	journal	October 2014
In-medium similarity renormalization group for open-shell nuclei Tsukiyama, K.; Bogner, S. K.; Schwenk, A. Physical Review C, Vol. 85, Issue 6 https://doi.org/10.1103/PhysRevC.85.061304	journal	June 2012
The In-Medium Similarity Renormalization Group: A novel ab initio method for nuclei Hergert, H.; Bogner, S. K.; Morris, T. D. Physics Reports, Vol. 621 https://doi.org/10.1016/j.physrep.2015.12.007	journal	March 2016
Three-nucleon forces from chiral effective field theory Epelbaum, E.; Nogga, A.; Glöckle, W. Physical Review C, Vol. 66, Issue 6 https://doi.org/10.1103/PhysRevC.66.064001	journal	December 2002
Construction of Hermitian Effective Interaction in Nuclei: -- General Relation between Hermitian and Non-Hermitian Forms -- Suzuki, K. Progress of Theoretical Physics, Vol. 68, Issue 1 https://doi.org/10.1143/PTP.68.246	journal	July 1982
Nucleon-Hole Interaction in $jj$ Coupling Pandya, Sudhir P. Physical Review, Vol. 103, Issue 4 https://doi.org/10.1103/PhysRev.103.956	journal	August 1956
Perturbation theory for the effective interaction in nuclei Schucan, Thomas H.; Weidenmüller, Hans A. Annals of Physics, Vol. 76, Issue 2 https://doi.org/10.1016/0003-4916(73)90044-4	journal	April 1973
Mass measurements of 99–101In challenge ab initio nuclear theory of the nuclide 100Sn Mougeot, M.; Atanasov, D.; Karthein, J. Nature Physics, Vol. 17, Issue 10 https://doi.org/10.1038/s41567-021-01326-9	journal	September 2021
Effective Interaction Theory and Unitary-Model-Operator Approach to Nuclear Saturation Problem Suzuki, K.; Okamoto, R. Progress of Theoretical Physics, Vol. 92, Issue 6 https://doi.org/10.1143/ptp/92.6.1045	journal	December 1994
Structure of ${}^{78}{Ni}$ from First-Principles Computations Hagen, G.; Jansen, G. R.; Papenbrock, T. Physical Review Letters, Vol. 117, Issue 17 https://doi.org/10.1103/PhysRevLett.117.172501	journal	October 2016
Charge radii of exotic neon and magnesium isotopes Novario, S. J.; Hagen, G.; Jansen, G. R. Physical Review C, Vol. 102, Issue 5 https://doi.org/10.1103/PhysRevC.102.051303	journal	November 2020
In-gas-cell laser ionization spectroscopy in the vicinity of 100Sn: Magnetic moments and mean-square charge radii of N=50–54 Ag Ferrer, R.; Bree, N.; Cocolios, T. E. Physics Letters B, Vol. 728 https://doi.org/10.1016/j.physletb.2013.11.055	journal	January 2014
Accurate nuclear radii and binding energies from a chiral interaction Ekström, A.; Jansen, G. R.; Wendt, K. A. Physical Review C, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevC.91.051301	journal	May 2015
A coupled cluster approach with triple excitations Lee, Yoon S.; Kucharski, Stanislaw A.; Bartlett, Rodney J. The Journal of Chemical Physics, Vol. 81, Issue 12 https://doi.org/10.1063/1.447591	journal	December 1984
Spherical coupled-cluster theory for open-shell nuclei Jansen, G. R. Physical Review C, Vol. 88, Issue 2 https://doi.org/10.1103/PhysRevC.88.024305	journal	August 2013
A new solution for effective interaction Okamoto, R.; Suzuki, K.; Kumagai, H. Journal of Physics: Conference Series, Vol. 267 https://doi.org/10.1088/1742-6596/267/1/012017	journal	January 2011
In-medium similarity renormalization group with three-body operators Heinz, M.; Tichai, A.; Hoppe, J. Physical Review C, Vol. 103, Issue 4 https://doi.org/10.1103/PhysRevC.103.044318	journal	April 2021
In-medium similarity renormalization group for closed and open-shell nuclei Hergert, H. Physica Scripta, Vol. 92, Issue 2 https://doi.org/10.1088/1402-4896/92/2/023002	journal	December 2016

Similar Records

Nuclear structure near the doubly-magic {sup 100}Sn

Journal Article · Thu Sep 02 00:00:00 EDT 1999 · AIP Conference Proceedings · OSTI ID:1836447

Grawe, H; Hu, Z; Roeckl, E; +7 more

Spectroscopy of few-particle nuclei around magic {sup 132}Sn from fission product {gamma}-ray studies.

Conference · Wed Jul 29 00:00:00 EDT 1998 · OSTI ID:1836447

Zhang, C T

Observation of a $μs$ isomer in ${134\atop{49}}$In$_{85}$: Proton-neutron coupling "southeast" of ${132\atop{50}}$Sn$_{82}$

Journal Article · Mon Jul 29 00:00:00 EDT 2019 · Physical Review C · OSTI ID:1836447

Phong, V. H.; Lorusso, Giuseppe; Davinson, T.; +55 more

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Nuclear forces
Nuclear many-body theory
Nuclear structure & decays
Rare & new isotopes
Shell model
90 ≤ A ≤ 149

Title: Effective shell-model interaction for nuclei “southeast” of 100Sn

Citation Formats

References (73)

Similar Records

Related Subjects

Title: Effective shell-model interaction for nuclei “southeast” of ¹⁰⁰Sn