Ab initio many-body calculations of nucleon-4He scattering with three-nucleon forces

Hupin, Guillaume; Langhammer, Joachim; Navratil, Petr; Quaglioni, Sofia; Calci, Angelo; Roth, Robert

doi:10.1103/PhysRevC.88.054622

Title: Ab initio many-body calculations of nucleon-⁴He scattering with three-nucleon forces

Journal Article · Wed Nov 27 00:00:00 EST 2013 · Physical Review C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.88.054622· OSTI ID:1245723

Hupin, Guillaume ^[1]; Langhammer, Joachim ^[2]; Navratil, Petr ^[3]; Quaglioni, Sofia ^[1]; Calci, Angelo ^[2]; Roth, Robert ^[2]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Univ. Darmstadt, Darmstadt (Germany)
TRIUMF, Vancouver, BC (Canada)

We extend the ab initio no-core shell model/resonating-group method to include three-nucleon (3N) interactions for the description of nucleon-nucleus collisions. We outline the formalism, give algebraic expressions for the 3N-force integration kernels, and discuss computational aspects of two alternative implementations. The extended theoretical framework is then applied to nucleon-⁴He elastic scattering using similarity-renormalization-group (SRG)-evolved nucleon-nucleon plus 3N potentials derived from chiral effective field theory. We analyze the convergence properties of the calculated phase shifts and explore their dependence upon the SRG evolution parameter. We include up to six excited states of the ⁴He target and find significant effects from the inclusion of the chiral 3N force, e.g., it enhances the spin-orbit splitting between the 3/2^– and 1/2^– resonances and leads to an improved agreement with the phase shifts obtained from an accurate R-matrix analysis of the five-nucleon experimental data. As a result, we find remarkably good agreement with measured differential cross sections at various energies below the d+³H threshold, while analyzing powers manifest larger deviations from experiment for certain energies and angles.

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

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1245723

Report Number(s):: LLNL-JRNL-641544; PRVCAN

Journal Information:: Physical Review C, Nuclear Physics, Vol. 88, Issue 5; ISSN 0556-2813

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 45 works

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