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Related papers: Three-body direct nuclear reactions: Nonlocal opti…

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This chapter presents an overview of the optical model description of nucleon-nucleus scattering and reactions based on fundamental nuclear two-body and many-body forces. The chapter begins with a historical review followed by a discussion…

Nuclear Theory · Physics 2022-06-09 J. W. Holt , T. R. Whitehead

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

Triple-$\alpha$ reaction rates have been determined well with the sequential process via the narrow resonances. However, the direct triple-$\alpha$ process at off-resonant energies still remains in unsolved problems. In the present report,…

Nuclear Theory · Physics 2023-03-29 M. Katsuma

A novel approach is developed to find the three-body breakup amplitudes and cross sections within the modified Faddeev equation framework. The method is based on the lattice-like discretization of the three-body continuum with a three-body…

Nuclear Theory · Physics 2015-03-20 O. A. Rubtsova , V. N. Pomerantsev , V. I. Kukulin , Amand Faessler

We propose a novel approach to solve the three-nucleon (3N) Faddeev equation which avoids the complicated singularity pattern going with the moving logarithmic singularities of the standard approach. In this new approach the treatment of…

Nuclear Theory · Physics 2008-11-26 H. Witala , W. Gloeckle

The fusion reaction of a halo nucleus 11Be on 208Pb is described by a three-body direct reaction model. A time-dependent wave packet approach is applied to a three-body reaction problem. The wave packet approach enables us to obtain…

Nuclear Theory · Physics 2009-11-10 Kazuhiro Yabana , Manabu Ueda , Takashi Nakatsukasa

The triple-$\alpha$ reaction from the ternary continuum states at off-resonant energies, $\alpha+\alpha+\alpha\rightarrow^{12}$C, remains an open question. This direct process is scrutinized using a non-adiabatic Faddeev hyperspherical…

Nuclear Theory · Physics 2025-06-30 M. Katsuma

Relativistic Faddeev-Yakubovsky four-nucleon scattering equations are derived including a 3-body force. We present these equations in the momentum space representation. The quadratic integral equations using the iteration method, in order…

Nuclear Theory · Physics 2019-10-29 Hiroyuki Kamada

Double--folded optical $\alpha$--nucleus potentials can be used to calculate elastic scattering cross sections in a wide mass-- and energy region. Because of the systematic behavior of the potential parameters we are able to obtain reliable…

Nuclear Theory · Physics 2009-09-25 P. Mohr , H. Abele , U. Atzrott , G. Staudt , R. Bieber , K. Grün , H. Oberhummer , T. Rauscher , E. Somorjai

The optical potential approach for low-energy scattering of $\eta$-mesons on three-body nuclei is compared to an exact treatment of the $\eta 3N$ system using four-body scattering theory with separable interactions in s-waves only. The…

Nuclear Theory · Physics 2009-11-10 A. Fix , H. Arenhoevel

The contribution of a three-nucleon (3N) force, acting between the neutron and proton in the incoming deuteron with a target nucleon, to the deuteron-target potential in the entrance channel of the $A(d,p)B$ reaction has been calculated…

Nuclear Theory · Physics 2020-12-04 N. K. Timofeyuk , M. J. Dinmore , J. S AL-Khalili

The reaction dynamics of O(3P) + O2(3Sigma_g-) collisions in the O3(1A') electronic ground state is characterized on a high-level MRCI+Q/aug-cc-pVQZ potential energy surface represented as a reproducing kernel. For the atom exchange…

Chemical Physics · Physics 2026-03-12 Raidel Martin-Barrios , Abhirami Vijayakumar , Jingchun Wang , Markus Meuwly

Charge-exchange reactions are versatile probes for nuclear structure. In particular, when populating isobaric analog states, these reactions are used to study isovector nuclear densities and neutron skins. The quality of the information…

Nuclear Theory · Physics 2024-09-17 A. J. Smith , C. Hebborn , F. M. Nunes , R. G. T. Zegers

Nucleon total reaction and neutron total cross sections to 300 MeV for 12C and 208Pb, and for 65 MeV spanning the mass range, are predicted using coordinate space optical potentials formed by full folding of effective nucleon-nucleon…

Nuclear Theory · Physics 2009-11-07 P. K. Deb , K. Amos , S. Karataglidis , M. B. Chadwick , D. G. Madland

The problem of nonlocality in the dynamical three-body Casimir-Polder interaction between an initially excited and two ground-state atoms is considered. It is shown that the nonlocal spatial correlations of the field emitted by the excited…

Quantum Physics · Physics 2009-11-13 R. Passante , F. Persico , L. Rizzuto

Four-body equations in momentum space are solved for neutron-$\He$, proton-$\Hh$, and deuteron-deuteron scattering; all three reactions are coupled. The Coulomb interaction between the protons is included using the screening and…

Nuclear Theory · Physics 2008-11-26 A. Deltuva , A. C. Fonseca

In this contribution, I present a short overview of the theory of direct nuclear reactions, with special emphasis on the case of reactions induced by weakly-bound nuclei. After introducing some general results of quantum scattering theory,…

Nuclear Theory · Physics 2019-02-06 Antonio M. Moro

Nonlocality in the scattering potential leads to an integro-differential equation.In this equation nonlocality enters through an integral over the nonlocal potential kernel. The resulting Schroedinger equation is usually handled by…

Nuclear Theory · Physics 2018-01-03 N. J. Upadhyay , A. Bhagwat , B. K. Jain

Cross section of the neutron capture reaction $n+p\rightarrow d+\gamma$ at threshold was calculated with different realistic $^{3}S_{1}$ deuteron and $^{1}S_{0}$ $np$ scattering wave functions stemming from Nijmegen-II, JISP16, Paris, Idaho…

Nuclear Theory · Physics 2017-06-22 N. A. Khokhlov

An interaction of a photon with $^3H$ is invstigated based on a three dimensional Faddeev approach. In this approach the three-nucleon Faddeev equations with two-nucleon interactions are formulated with consideration of the magnitude of the…

Nuclear Theory · Physics 2010-04-30 S. Bayegan , M. A. Shalchi , M. R. Hadizadeh