Ab initio leading order effective potentials for elastic nucleon-nucleus scattering

Burrows, M.; Baker, R. B.; Elster, Ch.; Weppner, S. P.; Launey, K. D.; Maris, P.; Popa, G.

doi:10.1103/physrevc.102.034606

Ab initio leading order effective potentials for elastic nucleon-nucleus scattering

Journal Article · Tue Sep 08 00:00:00 EDT 2020 · Physical Review C

DOI:https://doi.org/10.1103/physrevc.102.034606· OSTI ID:1798518

^[1]; ^[2]; ^[2]; ^[3]; ^[4]; Maris, P. ^[5]; Popa, G. ^[2]

Ohio Univ., Athens, OH (United States); Ohio University
Ohio Univ., Athens, OH (United States)
Eckerd College, St. Petersburg, FL (United States)
Louisiana State Univ., Baton Rouge, LA (United States)
Iowa State Univ., Ames, IA (United States)

Calculating microscopic effective interactions (optical potentials) for elastic nucleon-nucleus scattering has already in the past led to a large body of work. For first-order calculations a nucleon-nucleon (NN) interaction and a one-body density of the nucleus were taken as input to rigorous calculations of microscopic full-folding calculations. Based on the spectator expansion of the multiple scattering series we employ a chiral next-to-next-to-leading order (NNLO) nucleon-nucleon interaction on the same footing in the structure as well as in the reaction calculation to obtai n an in leading-order consistent effective potential for nucleon-nucleus elastic scattering, which includes the spin of the struck target nucleon. The first order effective folding potential is computed by first deriving a nonlocal scalar density as well as a spin-projected momentum distribution. Those are then integrated with the off-shell Wolfenstein amplitudes $$A$$, $$C$$, and $M $. The resulting nonlocal potential serves as input to a momentum-space Lippmann-Schwinger equation, whose solutions are summed to obtain the nucleon-nucleus scattering observables. As a result, we calculate elastic scattering observables for $^4$He, $^6$He, $^8$He, $$^{12}$$C, and $$^{16}$$O in the energy r egime between 100 and 200~MeV projectile kinetic energy, and compare to available data. We also explore the extension down to about 70 MeV, and study the effect of ignoring the spin of the struck nucleon in the In our calculations we contrast elastic scattering off closed-shell and open-shell nuclei. We find that fo r closed-shell nuclei the approximation of ignoring the spin of the struck target nucleon is excellent. We only see effects of the spin of the struck target nucleon when considering $^6$He and $^8$He, which are nuclei with a $N/Z$ ratio larger than 1.

View Accepted Manuscript (DOE)

Research Organization:: Ohio Univ., Athens, OH (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities Division; USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC02-05CH11231; FG02-93ER40756; SC0018223

OSTI ID:: 1798518

Journal Information:: Physical Review C, Journal Name: Physical Review C Journal Issue: 3 Vol. 102; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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