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Based on the mean-field determination of the single-particle energy in nuclear matter that contains naturally a rearrangement term (RT) implied by the Hugenholtz-van Hove theorem, the folding model of the nucleon optical potential (OP) is…

Nuclear Theory · Physics 2020-04-22 Doan Thi Loan , Dao T. Khoa , Nguyen Hoang Phuc

The different facets of the $R$-matrix method are presented pedagogically in a general framework. Two variants have been developed over the years: $(i)$ The "calculable" $R$-matrix method is a calculational tool to derive scattering…

Nuclear Theory · Physics 2015-05-14 P. Descouvemont , D. Baye

We investigate the nonlocal structure of optical model potentials for nucleon-nucleus scattering based on microscopic approaches. To this purpose, \emph{in-medium} folding optical potentials are calculated in momentum space and their…

Nuclear Theory · Physics 2018-12-05 H. F. Arellano , G. Blanchon

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…

A microscopic optical potential (OP) is derived from NN chiral potentials at the first-order term within the spectator expansion of the multiple scattering theory and adopting the impulse approximation. The performances of our OP are…

Nuclear Theory · Physics 2019-12-20 C. Giusti , M. Vorabbi , P. Finelli

Microscopic optical potentials for nucleon-nucleus (NA) scattering obtained from the full folding of the effective g matrices, solutions of the Bruckner-Bethe-Goldstone equation, with the densities of the target, are applied to the case of…

Nuclear Theory · Physics 2009-11-07 S. Karataglidis , M. B. Chadwick

In this work we use microscopic Nucleon-Nucleus Optical Potentials (OP) to analyze elastic scattering data for the differential cross section of the $^{78}$Kr (p,p) $^{78}$Kr reaction, with the goal of extracting the matter radius and…

Nuclear Theory · Physics 2024-03-27 Matteo Vorabbi , Paolo Finelli , Carlotta Giusti

We develop for the first time a microscopic global nucleon-nucleus optical potential with quantified uncertainties suitable for analyzing nuclear reaction experiments at next-generation rare-isotope beam facilities. Within the improved…

Nuclear Theory · Physics 2021-11-10 T. R. Whitehead , Y. Lim , J. W. Holt

We derived microscopic optical potentials (OPs) for elastic nucleon-nucleus scattering within the framework of chiral effective field theories at the first-order term of the spectator expansion of the Watson multiple-scattering theory and…

Nuclear Theory · Physics 2023-12-27 Carlotta Giusti , Matteo Vorabbi , Paolo Finelli

The R-matrix method is a fully-quantum time-independent scattering method, used to simulate nuclear, electron-atom, electron-ion, electron-molecule scattering and more. Here, a novel R-matrix method, RmatReact, is presented as applied to…

Chemical Physics · Physics 2019-12-20 T. Rivlin , L. K. McKemmish , K. E. Spinlove , J. Tennyson

The relativistic optical model potential (OMP) for nucleon-nucleus scattering is investigated in the framework of Dirac-Brueckner-Hartree-Fock (DBHF) approach using the Bonn-B One-Boson- Exchange potential for the bare nucleon-nucleon…

Nuclear Theory · Physics 2015-06-04 Ruirui Xu , Zhongyu Ma , E. N. E. van Dalen , H. Muther

An extended version of the R-matrix methodology is presented for calculation of radiative parameters for improved plasma opacities. Contrast and comparisons with existing methods primarily relying on the Distorted Wave (DW) approximation…

Solar and Stellar Astrophysics · Physics 2023-08-30 A. K. Pradhan , S. N. Nahar , W. Eissner

A relativistic microscopic optical model potential for nucleon-nucleus scattering is developed based on the \emph{ab initio} relativistic Brueckner-Hartree-Fock (RBHF) theory with the improved local density approximation, which is…

Nuclear Theory · Physics 2024-06-13 Pianpian Qin , Sibo Wang , Hui Tong , Qiang Zhao , Chencan Wang , Z. P. Li , Peter Ring

The nonrelativistic full-folding optical model approach for nucleon-nucleus scattering is extended into the relativistic regime. In doing so, kinematical issues involving the off-shell Lorentz boost of the colliding particles between the…

Nuclear Theory · Physics 2009-11-07 H. F. Arellano , H. V. von Geramb

Comparisons are made between results of calculations for intermediate energy nucleon-nucleus scattering for 12C, 16O, 40Ca, 90Zr, and 208Pb, using optical potentials obtained from global Dirac phenomenology and from a microscopic…

Nuclear Theory · Physics 2009-11-11 P. K. Deb , B. C. Clark , S. Hama , K. Amos , S. Karataglidis , E. D. Cooper

After nearly sixty years since its introduction, the phenomenological bell-shape Perey-Buck spatial nonlocality in the optical model potential for nucleon-nucleus scattering has remained unaccounted for from a microscopic standpoint. In…

Nuclear Theory · Physics 2022-07-13 H. F. Arellano , G. Blanchon

The decay of $\alpha$ particle from a nucleus is viewed as a quantum resonance state of a two-body scattering process of the $\alpha$+daughter nucleus pair governed by a novel nucleus-nucleus potential in squared Woods-Saxon form. By the…

Nuclear Theory · Physics 2017-10-11 Basudeb Sahu , Swagatika Bhoi

Optical model potentials for elastic nucleon nucleus scattering are calculated for a number of target nuclides from a full-folding integral of two different realistic target density matrices together with full off-shell nucleon-nucleon…

Nuclear Theory · Physics 2008-11-26 Ch. Elster , S. P. Weppner , C. R. Chinn

In this study, we investigate atom--dimer scattering within the framework of the hyperspherical method. The coupled channel Schr\"odinger equation is solved using the R-matrix propagation technique combined with the smooth variable…

Atomic Physics · Physics 2022-10-19 Cai-Yun Zhao , Yi Zhang , Hui-Li Han , Ting-Yun Shi

The present study presents a comprehensive theoretical investigation of atom and asymmetric top molecule inelastic scattering based on the R-matrix formalism. The proposed methodology establishes a rigorous framework for treating inelastic…

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