Properties of infrared extrapolations in a harmonic oscillator basis

Coon, Sidney A.; Kruse, Michael K. G.

doi:10.1142/S0218301316410111

Title: Properties of infrared extrapolations in a harmonic oscillator basis

Journal Article · Mon Feb 22 00:00:00 EST 2016 · International Journal of Modern Physics E

DOI:https://doi.org/10.1142/S0218301316410111· OSTI ID:1368011

Coon, Sidney A. ^[1]; Kruse, Michael K. G. ^[2]

Univ. of Arizona, Tucson, AZ (United States)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Here, the success and utility of effective field theory (EFT) in explaining the structure and reactions of few-nucleon systems has prompted the initiation of EFT-inspired extrapolations to larger model spaces in ab initio methods such as the no-core shell model (NCSM). In this contribution, we review and continue our studies of infrared (ir) and ultraviolet (uv) regulators of NCSM calculations in which the input is phenomenological NN and NNN interactions fitted to data. We extend our previous findings that an extrapolation in the ir cutoff with the uv cutoff above the intrinsic uv scale of the interaction is quite successful, not only for the eigenstates of the Hamiltonian but also for expectation values of operators, such as r², considered long range. The latter results are obtained with Hamiltonians transformed by the similarity renormalization group (SRG) evolution. On the other hand, a possible extrapolation of ground state energies in the uv cutoff when the ir cutoff is below the intrinsic ir scale is not robust and does not agree with the ir extrapolation of the same data or with independent calculations using other methods.

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

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

Grant/Contract Number:: AC52-07NA27344; FG02-04ER41338

OSTI ID:: 1368011

Report Number(s):: LLNL-JRNL-673992

Journal Information:: International Journal of Modern Physics E, Vol. 25, Issue 05; ISSN 0218-3013

Publisher:: World ScientificCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 9 works

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