Pauli rearrangement potential for a scattering state with the nucleon-nucleon interaction in chiral effective field theory

Kohno, M.

doi:10.1103/physrevc.98.054617

Cited by 10 publications

(8 citation statements)

References 28 publications

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“…Our treatment of medium corrections is not exhaustive and other contributions can also be included, as suggested in Refs. [16,30,44,57,58]. A more complete investigation of medium corrections is mandatory for the future of our model and we plan to investigate a complete treatment in a forthcoming article.…”

Section: -3mentioning

confidence: 99%

Impact of three-body forces on elastic nucleon-nucleus scattering observables

et al. 2021

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Background: In a previous series of papers we investigated the domain of applicability of chiral potentials to the construction of a microscopic optical potential (OP) for elastic nucleon-nucleus scattering. The OP was derived at the first order of the spectator expansion of the Watson multiple scattering theory and its final expression was a folding integral between the nucleon-nucleon (NN) t matrix and the nuclear density of the target. In the calculations NN and three-nucleon (3N) chiral interactions were used for the target density and only the NN interaction for the NN t matrix. Purpose: The purpose of this work is to achieve another step towards the calculation of a more consistent OP introducing the 3N force also in the dynamic part of the OP. Methods: The full treatment of the 3N interaction is beyond our present capabilities. Thus, in the present work it is approximated with a density dependent NN interaction obtained after the averaging over the Fermi sphere. In practice, in our model the 3N force acts as a medium correction of the bare NN interaction used to calculate the t matrix. Even if the 3N force is treated in an approximate way, this method naturally extends our previous model of the OP and allows a direct comparison of our present and previous results. Results: We consider as case studies the elastic scattering of nucleons off 12 C and 16 O. We present results for the differential cross section and the spin observables for different values of the projectile energy. From the comparison with the experimental data and with the results of our previous model we assess the importance of the 3N interaction in the dynamic part of the OP. Conclusions: Our analysis indicates that the contribution of the 3N force in the t matrix is small for the differential cross section and it is sizable for the spin observables, in particular, for the analyzing power. We find that the two-pion exchange term is the major contributor to the 3N force. A chiral expansion order-by-order analysis of the scattering observables confirms the convergence of our results at the next-to-next-to-next-to-leading-order, as already established in our previous work.

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Section: -3mentioning

confidence: 99%

Impact of three-body forces on elastic nucleon-nucleus scattering observables

et al. 2021

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“…[23]. Here we mention the work of Burrows et al [24], which improved the calculation of the OP including the coupling between the target nucleon and the residual nucleus, the work of Arellano and Blanchon [25] on the irreducible nonlocality of the OP, the work of Whitehead et al [26] based on the calculation of the nucleon self-energy within the framework of the improved local density approximation, and the work of Kohno [27] on the Pauli rearrangement potential.…”

mentioning

confidence: 99%

Elastic Antiproton-Nucleus Scattering from Chiral Forces

et al. 2020

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Elastic scattering of antiprotons off 4 He, 12 C, and 16,18 O is described for the first time with a totally microscopic approach based on the calculation of an optical potential (OP) describing the antiproton-target interaction. The OP is derived using the recent antiproton-nucleon (pN ) chiral interaction to calculate thepN t matrix, while the target densities are computed with the ab initio no-core shell model using chiral interactions as well. Our results are in a good agreement with the existing experimental data and the results computed at different chiral orders of thepN interaction display the convergence pattern expected from the theory.

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“…Since 3N forces included in the scattering process must contain medium corrections, i.e. the presence of a filled Fermi sea [23][24][25][26][27], we follow here the same procedure outlined in Refs. [38,76], where we varied the density parameter between 0.08 fm −3 and 0.13 fm −3 .…”

Section: Chiral Nuclear Potentialsmentioning

confidence: 99%

“…Interest in OPs has been renewed in the scientific community over the last few years and several works have been devoted to this topic. We mention the most relevant developments in our opinion: microscopic dispersive OPs [9,10], OPs within a self-consistent Green's function approach [11,12], OPs from Coupled-Cluster calculations [13][14][15], chiral symmetry inspired OPs [16][17][18][19], nonlocal OPs [20][21][22], g-matrix calculations [23][24][25][26][27], global OPs [28,29], and OPs based on No-Core Shell Model (NCSM) calculations [30,31].…”

Section: Introductionmentioning

confidence: 99%

Elastic proton scattering off non-zero spin nuclei

Vorabbi,

Gennari,

Finelli

et al. 2021

Preprint

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Background: 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 nucleonnucleon (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. Purpose: The purpose of this work is to apply our microscopic OP to nuclei characterized by a ground state of spin-parity quantum numbers J π = 0 + . Methods: 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.Results: We show a remarkable agreement with experimental data for the available observables and, simultaneously, provide reliable estimates for the theoretical uncertainties. Conclusions: This work paves the way toward a full microscopic approach to inelastic NA scattering, showing that the derivation of optical potentials between states with J π = 0 + is completely under control.

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Pauli rearrangement potential for a scattering state with the nucleon-nucleon interaction in chiral effective field theory

Cited by 10 publications

References 28 publications

Impact of three-body forces on elastic nucleon-nucleus scattering observables

Impact of three-body forces on elastic nucleon-nucleus scattering observables

Elastic Antiproton-Nucleus Scattering from Chiral Forces

Elastic proton scattering off non-zero spin nuclei

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