Corrections to nucleon capture cross sections computed in truncated Hilbert spaces

Acharya, B.; Ekstrom, Andreas; Odell, Daniel M.; Papenbrock, Thomas F.; Platter, Lucas J.

doi:10.1103/PhysRevC.95.031301

Title: Corrections to nucleon capture cross sections computed in truncated Hilbert spaces

Journal Article · Wed Mar 01 00:00:00 EST 2017 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.95.031301· OSTI ID:1460244

Acharya, B. ^[1]; Ekstrom, Andreas ^[2]; Odell, Daniel M. ^[1];

^[3]; Platter, Lucas J. ^[3]

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

Nucleon capture cross sections enter various astrophysical processes. Here, the measurement of proton capture on nuclei at astrophysically relevant low energies is a challenge, and theoretical computations in this long-wavelength regime are sensitive to the long-distance asymptotics of the wave functions. A theoretical foundation for estimating and correcting errors introduced in capture cross sections due to Hilbert space truncation has so far been lacking. We derive extrapolation formulas that relate the infrared regularized capture amplitudes to the infinite basis limit and demonstrate their efficacy for proton-proton fusion. Our results are thus relevant to current calculations of few-body capture reactions such as proton-proton fusion or proton capture on the deuteron, and they also open the way for the use of ab initio many-body wave functions represented in finite Hilbert spaces in precision calculations of nucleon capture on heavier nuclei.

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

Sponsoring Organization:: USDOE

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

OSTI ID:: 1460244

Alternate ID(s):: OSTI ID: 1345439

Journal Information:: Physical Review C, Vol. 95, Issue 3; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 6 works

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