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Title: Elastic proton scattering off nonzero spin nuclei

Abstract

In recent years, we constructed a microscopic optical potential (OP) for elastic nucleon-nucleus (NA) scattering using modern approaches based on chiral theories for the nucleon-nucleon (NN) interaction. The OP was derived at first order of the spectator expansion in Watson multiple scattering theory and its final expression was a folding integral between the NN t matrix and the nuclear density of the target. Two- and three-body forces are consistently included both in the target and in the projectile description. The purpose of this work is to apply our microscopic OP to nuclei characterized by a ground state of spin-parity quantum numbers Jπ 0+ . We extended our formalism to include the spin of the target nucleus. The full amplitudes of the NN reaction matrix are retained in the calculations starting from two- and three-body chiral forces. The microscopic OP can be applied in the energy range 100 E 350 MeV. Finally, we show a remarkable agreement with experimental data for the available observables and, simultaneously, provide reliable estimates for the theoretical uncertainties. This work paves the way toward a full microscopic approach to inelastic NA scattering, showing that the derivation of optical potentials between states with Jπ 0+ is completely under control.

Authors:
ORCiD logo [1]; ORCiD logo [2];  [3]; ORCiD logo [4]; ORCiD logo [2]; ORCiD logo [5]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States). National Nuclear Data Center
  2. Univ. of Victoria, BC (Canada); TRIUMF, Vancouver, BC (Canada)
  3. Univ. degli Studi di Bologna (Italy); National Inst. of Nuclear Physics (INFN), Bologna (Italy)
  4. Univ. degli Studi di Pavia (Italy); Istituto Nazionale di Fisica Nucleare (INFN), Pavia (Italy)
  5. Univ. of Idaho, Moscow, ID (United States)
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); Natural Sciences and Engineering Research Council of Canada (NSERC)
OSTI Identifier:
1846027
Report Number(s):
BNL-222695-2022-JAAM
Journal ID: ISSN 2469-9985; TRN: US2302506
Grant/Contract Number:  
SC0012704; AC02-98CH10886; FG02- 03ER41270; SAPIN-2016-00033
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. C
Additional Journal Information:
Journal Volume: 105; Journal Issue: 1; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; nuclear forces; nucleon induced nuclear reactions; nucleon-nucleon interactions

Citation Formats

Vorabbi, Matteo, Gennari, Michael, Finelli, Paolo, Giusti, Carlotta, Navrátil, Petr, and Machleidt, Ruprecht. Elastic proton scattering off nonzero spin nuclei. United States: N. p., 2022. Web. doi:10.1103/physrevc.105.014621.
Vorabbi, Matteo, Gennari, Michael, Finelli, Paolo, Giusti, Carlotta, Navrátil, Petr, & Machleidt, Ruprecht. Elastic proton scattering off nonzero spin nuclei. United States. https://doi.org/10.1103/physrevc.105.014621
Vorabbi, Matteo, Gennari, Michael, Finelli, Paolo, Giusti, Carlotta, Navrátil, Petr, and Machleidt, Ruprecht. Fri . "Elastic proton scattering off nonzero spin nuclei". United States. https://doi.org/10.1103/physrevc.105.014621. https://www.osti.gov/servlets/purl/1846027.
@article{osti_1846027,
title = {Elastic proton scattering off nonzero spin nuclei},
author = {Vorabbi, Matteo and Gennari, Michael and Finelli, Paolo and Giusti, Carlotta and Navrátil, Petr and Machleidt, Ruprecht},
abstractNote = {In recent years, we constructed a microscopic optical potential (OP) for elastic nucleon-nucleus (NA) scattering using modern approaches based on chiral theories for the nucleon-nucleon (NN) interaction. The OP was derived at first order of the spectator expansion in Watson multiple scattering theory and its final expression was a folding integral between the NN t matrix and the nuclear density of the target. Two- and three-body forces are consistently included both in the target and in the projectile description. The purpose of this work is to apply our microscopic OP to nuclei characterized by a ground state of spin-parity quantum numbers Jπ≠0+. We extended our formalism to include the spin of the target nucleus. The full amplitudes of the NN reaction matrix are retained in the calculations starting from two- and three-body chiral forces. The microscopic OP can be applied in the energy range 100≤E≤350 MeV. Finally, we show a remarkable agreement with experimental data for the available observables and, simultaneously, provide reliable estimates for the theoretical uncertainties. This work paves the way toward a full microscopic approach to inelastic NA scattering, showing that the derivation of optical potentials between states with Jπ≠0+ is completely under control.},
doi = {10.1103/physrevc.105.014621},
journal = {Physical Review. C},
number = 1,
volume = 105,
place = {United States},
year = {Fri Jan 21 00:00:00 EST 2022},
month = {Fri Jan 21 00:00:00 EST 2022}
}

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