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We incorporate the coupled-channels optical model into the statistical Hauser-Feshbach nuclear reaction theory, where the scattering matrix is diagonalized by performing the Engelbrecht-Weidenm\"{u}ller transformation. This technique has…

Nuclear Theory · Physics 2021-02-03 Toshihiko Kawano

Atomic nuclei are composite systems, and they may be dynamically excited during nuclear reactions. Such excitations are not only relevant to inelastic scattering but they also affect other reaction processes such as elastic scattering and…

Nuclear Theory · Physics 2022-05-25 K. Hagino , K. Ogata , A. M. Moro

The coupled-channel theory is a natural way of treating nonelastic channels, in particular those arising from collective excitations, defined by nuclear deformations. Proper treatment of such excitations is often essential to the accurate…

Nuclear Theory · Physics 2015-03-13 G. P. A. Nobre , F. S. Dietrich , M. Herman , A. Palumbo , S. Hoblit , D. Brown

A model to calculate particle-induced reaction cross sections with statistical Hauser-Feshbach theory including direct reactions is given. The energy average of scattering matrix from the coupled-channels optical model is diagonalized by…

Nuclear Theory · Physics 2016-08-24 T. Kawano , R. Capote , S. Hilaire

The coupled-channels density-matrix technique for nuclear reaction dynamics, which is based on the Liouville-von Neumann equation with Lindblad dissipative terms, is developed with the inclusion of full angular momentum couplings. It allows…

Nuclear Theory · Physics 2010-12-23 Alexis Diaz-Torres

We present the first numerically exact implementation of full-coupling Feshbach theory for deriving effective optical potentials in nuclear reactions, overcoming long-standing computational barriers that previously necessitated…

Nuclear Theory · Physics 2025-08-12 Hao Liu , Jin Lei , Zhongzhou Ren

Kaonic nuclei (nuclear system with anti-kaons) have been an interesting subject in hadron and strange nuclear physics, because the strong attraction between anti-kaon and nucleon might bring exotic properties to that system. In this…

Nuclear Theory · Physics 2015-04-15 Akinobu Doté , Takashi Inoue , Takayuki Myo

We present an outline of an extensive study of the effects of collective couplings and nuclear deformations on integrated cross sections as well as on angular distributions in a consistent manner for neutron-induced reactions on nuclei in…

Nuclear Theory · Physics 2013-11-05 G. P. A. Nobre , A. Palumbo , D. Brown , M. Herman , S. Hoblit , F. S. Dietrich

An extended database of experimental data is needed to address uncertainties of the nuclear-physics input parameters for Hauser-Feshbach calculations. Especially $\alpha$+nucleus optical model potentials at low energies are not well known.…

Nuclear Experiment · Physics 2015-03-18 L. Netterdon , J. Mayer , P. Scholz , A. Zilges

We apply the Hulth\`en-Kohn method suggested by V. D. Efros [Phys. Rev. C 99, 034620 (2019)] for calculating various observables in the continuum and discrete spectrum using two-body interactions in single- and coupled-channel systems. This…

Nuclear Theory · Physics 2025-09-04 M. A. Sharaf , A. M. Shirokov , W. Du , J. P. Vary

In a previous publication [Atomic Data and Nuclear Data Tables 75, 1 (2000)], we had given seven parameter analytical fits to theoretical reaction rates derived from nuclear cross sections calculated in the statistical model…

Nuclear Theory · Physics 2009-11-07 T. Rauscher , F. -K. Thielemann

The current status of optical potentials employed in the prediction of thermonuclear reaction rates for astrophysics in the Hauser-Feshbach formalism is discussed. Special emphasis is put on $\alpha$+nucleus potentials. A novel approach for…

Nuclear Theory · Physics 2007-05-23 T. Rauscher

Prompt and $\beta$-delayed fission observables, such as the average number of prompt and delayed neutrons, the independent and cumulative fission product yields, and the prompt $\gamma$-ray energy spectra for the photonuclear reactions on…

Nuclear Theory · Physics 2023-04-26 Toshihiko Kawano , Amy E. Lovell , Shin Okumura , Hirokazu Sasaki , Ionel Stetcu , Patrick Talou

A microscopic calculation of the reaction cross-section for nucleon-nucleus scattering has been performed by explicitly coupling the elastic channel to all particle-hole (p-h) excitation states in the target and to all one-nucleon pickup…

Nuclear Theory · Physics 2010-12-23 G. P. A. Nobre , F. S. Dietrich , J. E. Escher , I. J. Thompson , M. Dupuis , J. Terasaki , J. Engel

A microscopic calculation of the optical potential for nucleon-nucleus scattering has been performed by explicitly coupling the elastic channel to all the particle-hole (p-h) excitation states in the target and to all relevant pickup…

Nuclear Theory · Physics 2011-09-30 G. P. A. Nobre , I. J. Thompson , J. E. Escher , F. S. Dietrich

Reaction cross-sections are calculated using the Coulomb modified Glauber model for deformed target nuclei. The deformed nuclear matter density of the target is expanded into multipoles of order k = 0,2,4.The reaction cross-sections between…

Nuclear Theory · Physics 2009-04-13 M. Y. M. Hassan , M. Y. H. Farag , A. Y. Abul-Magd , T. E. I. Nassar

The prediction of cross sections for nuclei far off stability is crucial in the field of nuclear astrophysics. We discuss the model mostly employed for such calculations: the statistical model (Hauser-Feshbach). Special emphasis is put on…

Astrophysics · Physics 2008-11-26 T. Rauscher , F. -K. Thielemann , K. -L. Kratz

Atomic nuclei are complex, quantum many-body systems whose structure manifests itself through intrinsic quantum states associated with different excitation modes or degrees of freedom. Collective modes (vibration and/or rotation) dominate…

Nuclear Theory · Physics 2015-05-19 Alexis Diaz-Torres

The radiative thermal neutron capture cross sections over the range of thermal energies from 1 keV to 1 MeV are studied in statistical Hauser-Feshbach formalism. The optical model potential is constructed by folding the density dependent…

Nuclear Theory · Physics 2016-11-15 Saumi Dutta , G. Gangopadhyay , Abhijit Bhattacharyya

A new shell model Hamiltonian for p-shell nuclei which properly takes into account important roles of spin-isospin interactions is used to obtain cross sections of neutrino-^12C reactions induced by decay-at-rest (DAR) neutrinos as well as…

Nuclear Theory · Physics 2008-11-26 Toshio Suzuki , Satoshi Chiba , Takashi Yoshida , Toshitaka Kajino , Takaharu Otsuka
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