Ab initio folding potentials for nucleon-nucleus scattering based on no-core shell-model one-body densities
Abstract
Background: Calculating microscopic optical potentials for elastic nucleon-nucleus scattering has already led to large body of work in the past. For folding first-order calculations the nucleon-nucleon (NN) interaction and the one-body density of the nucleus were taken as input to rigorous calculations in a spectator expansion of the multiple scattering series. Purpose: Based on the Watson expansion of the multiple scattering series we employ a nonlocal translationally invariant nuclear density derived from a chiral next-to-next-to-leading order (NNLO) and the very same interaction for consistent full-folding calculation of the effective (optical) potential for nucleon-nucleus scattering for light nuclei. Methods: The first order effective (optical) folding potential is computed by integrating over the nonlocal, translationally invariant NCSM one-body density and the off-shell Wolfenstein amplitudes A and C. The resulting nonlocal potential serves as input for a momentum-space Lippmann-Schwinger equation, whose solutions are summed to obtain the nucleon-nucleus scattering observables. Results: We calculate scattering observables, such as total, reaction, and differential cross sections as well as the analyzing power and the spin-rotation parameter, for elastic scattering of protons and neutrons from 4He, 6He, 12C, and 16O, in the energy regime between 100 and 200 MeV projectile kinetic energy, and compare to available data.more »
- Authors:
-
- Ohio Univ., Athens, OH (United States). Inst. of Nuclear and Particle Physics, Dept. of Physics and Astronomy
- Eckerd College, St. Petersburg, FL (United States). Natural Sciences
- Louisiana State Univ., Baton Rouge, LA (United States). Dept. of Physics and Astronomy
- Iowa State Univ., Ames, IA (United States). Dept. of Physics and Astronomy
- IAS-4, IKP-3, JHCP, and JARA-HPC, Julich (Germany)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1528957
- Alternate Identifier(s):
- OSTI ID: 1507193
- Grant/Contract Number:
- FG02-93ER40756; SC0018223; AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C
- Additional Journal Information:
- Journal Volume: 99; Journal Issue: 4; Journal ID: ISSN 2469-9985
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Burrows, M., Elster, Ch., Weppner, S. P., Launey, K. D., Maris, P., Nogga, A., and Popa, G. Ab initio folding potentials for nucleon-nucleus scattering based on no-core shell-model one-body densities. United States: N. p., 2019.
Web. doi:10.1103/PhysRevC.99.044603.
Burrows, M., Elster, Ch., Weppner, S. P., Launey, K. D., Maris, P., Nogga, A., & Popa, G. Ab initio folding potentials for nucleon-nucleus scattering based on no-core shell-model one-body densities. United States. https://doi.org/10.1103/PhysRevC.99.044603
Burrows, M., Elster, Ch., Weppner, S. P., Launey, K. D., Maris, P., Nogga, A., and Popa, G. Mon .
"Ab initio folding potentials for nucleon-nucleus scattering based on no-core shell-model one-body densities". United States. https://doi.org/10.1103/PhysRevC.99.044603. https://www.osti.gov/servlets/purl/1528957.
@article{osti_1528957,
title = {Ab initio folding potentials for nucleon-nucleus scattering based on no-core shell-model one-body densities},
author = {Burrows, M. and Elster, Ch. and Weppner, S. P. and Launey, K. D. and Maris, P. and Nogga, A. and Popa, G.},
abstractNote = {Background: Calculating microscopic optical potentials for elastic nucleon-nucleus scattering has already led to large body of work in the past. For folding first-order calculations the nucleon-nucleon (NN) interaction and the one-body density of the nucleus were taken as input to rigorous calculations in a spectator expansion of the multiple scattering series. Purpose: Based on the Watson expansion of the multiple scattering series we employ a nonlocal translationally invariant nuclear density derived from a chiral next-to-next-to-leading order (NNLO) and the very same interaction for consistent full-folding calculation of the effective (optical) potential for nucleon-nucleus scattering for light nuclei. Methods: The first order effective (optical) folding potential is computed by integrating over the nonlocal, translationally invariant NCSM one-body density and the off-shell Wolfenstein amplitudes A and C. The resulting nonlocal potential serves as input for a momentum-space Lippmann-Schwinger equation, whose solutions are summed to obtain the nucleon-nucleus scattering observables. Results: We calculate scattering observables, such as total, reaction, and differential cross sections as well as the analyzing power and the spin-rotation parameter, for elastic scattering of protons and neutrons from 4He, 6He, 12C, and 16O, in the energy regime between 100 and 200 MeV projectile kinetic energy, and compare to available data. Conclusions: Our calculations show that the effective nucleon-nucleus potential obtained from the first-order term in the spectator expansion of the multiple scattering expansion describes experiments very well to about 60 degrees in the center-of-mass frame, which coincides roughly with the validity of the NNLO chiral interaction used to calculate both the NN amplitudes and the one-body nuclear density.},
doi = {10.1103/PhysRevC.99.044603},
journal = {Physical Review C},
number = 4,
volume = 99,
place = {United States},
year = {Mon Apr 15 00:00:00 EDT 2019},
month = {Mon Apr 15 00:00:00 EDT 2019}
}
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