Effective operators in two-nucleon systems

Vary, James P.; Basili, Robert; Du, Weijie; Lockner, Matthew; Maris, Pieter; Pal, Soham; Sarker, Shiplu

doi:10.1103/PhysRevC.98.065502

Title: Effective operators in two-nucleon systems

Journal Article · Mon Dec 10 00:00:00 EST 2018 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.98.065502· OSTI ID:1544149

Vary, James P. ^[1]; Basili, Robert ^[1]; Du, Weijie ^[1]; Lockner, Matthew ^[1]; Maris, Pieter ^[1]; Pal, Soham ^[1]; Sarker, Shiplu ^[1]

Iowa State Univ., Ames, IA (United States)

Effective Hamiltonians and effective electroweak operators are calculated with the Okubo-Lee-Suzuki formalism for two-nucleon systems. Working within a harmonic oscillator basis, first without and then with a confining harmonic oscillator trap, we demonstrate the effects of renormalization on observables calculated for truncated basis spaces. We illustrate the renormalization effects for the root-mean-square point-proton radius, electric quadrupole moment, magnetic dipole moment, Gamow-Teller transition and neutrinoless double-beta decay operator using nucleon-nucleon interactions from chiral Effective Field Theory. Renormalization effects tend to be larger in the weaker traps and smaller basis spaces suggesting applications to heavier nuclei with transitions dominated by weakly-bound nucleons would be subject to more significant renormalization effects within achievable basis spaces.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-87ER40371; SC0018223; SC0015376; AC02-05CH11231

OSTI ID:: 1544149

Alternate ID(s):: OSTI ID: 1485200

Journal Information:: Physical Review C, Vol. 98, Issue 6; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 4 works

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References (21)

Diagonalization of Hamiltonian and Tamm-Dancoff Equation Ôkubo, Susumu Progress of Theoretical Physics, Vol. 12, Issue 5 https://doi.org/10.1143/PTP.12.603	journal	November 1954
Effective operators from exact many-body renormalization Lisetskiy, A. F.; Kruse, M. K. G.; Barrett, B. R. Physical Review C, Vol. 80, Issue 2 https://doi.org/10.1103/PhysRevC.80.024315	journal	August 2009
Precision Nucleon-Nucleon Potential at Fifth Order in the Chiral Expansion Epelbaum, E.; Krebs, H.; Meißner, U. -G. Physical Review Letters, Vol. 115, Issue 12 https://doi.org/10.1103/PhysRevLett.115.122301	journal	September 2015
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
Properties of $^{12} C$ in the Ab Initio Nuclear Shell Model Navrátil, P.; Vary, J. P.; Barrett, B. R. Physical Review Letters, Vol. 84, Issue 25 https://doi.org/10.1103/PhysRevLett.84.5728	journal	June 2000
Effective operators within the ab initio no-core shell model Stetcu, Ionel; Barrett, Bruce R.; Navrátil, Petr Physical Review C, Vol. 71, Issue 4 https://doi.org/10.1103/PhysRevC.71.044325	journal	April 2005
Neutrinoless double $β$ decay and effective field theory Prézeau, G.; Ramsey-Musolf, M.; Vogel, Petr Physical Review D, Vol. 68, Issue 3 https://doi.org/10.1103/PhysRevD.68.034016	journal	August 2003
Ab initio no core shell model Barrett, Bruce R.; Navrátil, Petr; Vary, James P. Progress in Particle and Nuclear Physics, Vol. 69 https://doi.org/10.1016/j.ppnp.2012.10.003	journal	March 2013
Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order Epelbaum, E.; Krebs, H.; Meißner, U. -G. The European Physical Journal A, Vol. 51, Issue 5 https://doi.org/10.1140/epja/i2015-15053-8	journal	May 2015
Properties of ⁴ He and ⁶ Li with improved chiral EFT interactions Maris, P.; Binder, S.; Calci, A. EPJ Web of Conferences, Vol. 113 https://doi.org/10.1051/epjconf/201611304015	journal	January 2016
Few-nucleon and many-nucleon systems with semilocal coordinate-space regularized chiral nucleon-nucleon forces Binder, S.; Calci, A.; Epelbaum, E. Physical Review C, Vol. 98, Issue 1 https://doi.org/10.1103/PhysRevC.98.014002	journal	July 2018
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
Long- and short-range correlations in the ab-initio no-core shell model Stetcu, Ionel; Barrett, Bruce R.; Navrátil, Petr Physical Review C, Vol. 73, Issue 3 https://doi.org/10.1103/PhysRevC.73.037307	journal	March 2006
Operator evolution via the similarity renormalization group: The deuteron Anderson, E. R.; Bogner, S. K.; Furnstahl, R. J. Physical Review C, Vol. 82, Issue 5 https://doi.org/10.1103/PhysRevC.82.054001	journal	November 2010
Energy levels of light nuclei A=5, 6, 7 Tilley, D. R.; Cheves, C. M.; Godwin, J. L. Nuclear Physics A, Vol. 708, Issue 1-2 https://doi.org/10.1016/S0375-9474(02)00597-3	journal	September 2002
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
On mathematical structure of effective observables Viazminsky, C. P.; Vary, James P. Journal of Mathematical Physics, Vol. 42, Issue 5 https://doi.org/10.1063/1.1286034	journal	January 2001
Few-nucleon systems with state-of-the-art chiral nucleon-nucleon forces Binder, S.; Calci, A.; Epelbaum, E. Physical Review C, Vol. 93, Issue 4 https://doi.org/10.1103/PhysRevC.93.044002	journal	April 2016
Ab initio no-core solutions for ⁶ Li Shin, Ik Jae; Kim, Youngman; Maris, Pieter Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 7 https://doi.org/10.1088/1361-6471/aa6cb7	journal	May 2017
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 $g_{A}$ in the $pf$ shell Martínez-Pinedo, G.; Poves, A.; Caurier, E. Physical Review C, Vol. 53, Issue 6 https://doi.org/10.1103/PhysRevC.53.R2602	journal	June 1996

Cited By (2)

Effective interactions in the $s d$ shell Smirnova, N. A.; Barrett, B. R.; Kim, Y. Physical Review C, Vol. 100, Issue 5 https://doi.org/10.1103/physrevc.100.054329	journal	November 2019
Effective interactions in the sd shell Smirnova, Nadezda A.; Barrett, Bruce R.; Kim, Youngman arXiv https://doi.org/10.48550/arxiv.1909.00628	text	January 2019

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