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Radiative capture processes in 4He12C channel of 16O nucleus are considered on the basis of potential two-cluster model with intercluster interactions which contain forbidden states and reproduce phase shifts of elastic scattering and some…

Nuclear Theory · Physics 2014-08-19 S. B. Dubovichenko

Cross sections from low-energy neutron-nucleus scattering have been evaluated using a coupled channel theory of scattering. Both a coordinate-space and a momentum-space formalism of that coupled-channel theory are considered.A simple…

Nuclear Theory · Physics 2009-11-11 K. Amos , S. Karataglidis , D. van der Knijff , L. Canton , G. Pisent , J. P. Svenne

A multi-channel algebraic scattering (MCAS) method has been used to solve coupled sets of Lippmann-Schwinger equations for $\alpha$+nucleus systems to find spectra of the compound systems. Low energy spectra for ${}^{12}$C, ${}^{16}$O, and…

Nuclear Theory · Physics 2016-05-11 K. Amos , L. Canton , P. R. Fraser , S. Karataglidis , J. P. Svenne , D. van der Knijff

Analyzing powers in low-energy neutron scattering from 12C are calculated in an algebraic momentum-space coupled-channel formalism (MCAS). The results are compared with recently obtained experimental data. The channel-coupling potentials…

Nuclear Theory · Physics 2009-11-11 J. P. Svenne , K. Amos , S. Karataglidis , D. van der Knijff , L. Canton , G. Pisent

In this review we have considered the possibility to describe the astrophysical S-factors of radiative capture reactions with light atomic nuclei on the basis of the potential two-cluster model by taking into account the splitting the…

Nuclear Theory · Physics 2011-12-12 S. B. Dubovichenko , A. V. Dzhazairov-Kakhramanov

Compound resonances in nucleon-nucleus scattering are related to the discrete spectrum of the target. Such resonances can be studied in a unified and general framework by a scattering model that uses sturmian expansions of postulated…

Nuclear Theory · Physics 2015-06-26 K. Amos , L. Canton , G. Pisent , J. P. Svenne , D. van der Knijff

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

Using a Multi-Channel Algebraic Scattering (MCAS) approach we have analyzed the spectra of two hyper-nuclear systems, Lambda9Be and Lambda13C. We have studied the splitting of the two odd-parity excited levels (1/2- and 3/2-) at 11 MeV…

Nuclear Theory · Physics 2015-05-14 L. Canton , K. Amos , S. Karataglidis , J. P. Svenne

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

Astrophysical S-factors of radiative capture reactions on light nuclei have been calculated in a two-cluster potential model, taking into account the separation of orbital states by the use of Young schemes. The local two-body potentials…

Nuclear Theory · Physics 2012-04-12 Sergey Dubovichenko , Albert Dzhazairov-Kakhramanov

The astrophysical $^7{\rm Be}(p, \gamma)^8{\rm B}$ direct capture process is studied in the framework of a two-body single-channel model with potentials of the Gaussian form. A modified potential is constructed to reproduce the new…

Nuclear Theory · Physics 2021-10-25 E. M. Tursunov , S. A. Turakulov , A. S. Kadyrov , L. D. Blokhintsev

In a preceding paper we introduced a formalism to study the scattering of low intensity fields from a system of multi-level emitters embedded in a $3$D dielectric medium. Here we show how this photon-scattering relation can be used to…

Quantum Physics · Physics 2018-04-25 Sumanta Das , Vincent E. Elfving , Florentin Reiter , Anders S. Sørensen

An effective field theory (EFT) for a nuclear reaction at low energies is studied. The astrophysical $S$-factor of radiative $\alpha$ capture on $^{12}$C at the Gamow-peak energy, $T_G=0.3$ MeV, is a fundamental quantity in…

Nuclear Theory · Physics 2024-01-24 Shung-Ichi Ando

We report the first calculations of cross sections for the radiative capture reactions t(alpha,gamma)^7Li and ^3He(alpha,gamma)^7Be below 2 MeV which use wave functions derived from realistic nucleon-nucleon interactions by the variational…

Nuclear Theory · Physics 2009-11-07 Kenneth M. Nollett

Conditions are established for the existence of a scattering length and an effective range in the low-energy expansion of the S-wave phase-shift of a central potential in two and three dimensions. The behavior of the phase-shift as a…

Mathematical Physics · Physics 2009-09-15 N. N. Khuri , Andre Martin , Jean-Marc Richard , Tai Tsun Wu

The cross sections of the $^3$He($\alpha$,$\alpha$)$^3$He and $^3$He($\alpha$,$\gamma$)$^7$Be reactions are studied at low energies using a simple two-body model in combination with a double-folding potential. At very low energies the…

Nuclear Theory · Physics 2009-07-09 P. Mohr

A method using an expansion of the four-body Yakubovsky wave function components onto the basis of the Faddeev-equation solutions for the two-cluster sub-Hamiltonian eigenfunctions is exploited for computations of low-energy scattering…

Nuclear Theory · Physics 2011-04-15 S. L. Yakovlev , I. N. Filikhin

A framework to calculate two-particle matrix elements for fully antisymmetrized three-cluster configurations is presented. The theory is developed for a scattering situation described in terms of the Algebraic Model. This means that the…

Nuclear Theory · Physics 2009-11-06 V. Vasilevsky , A. V. Nesterov , F. Arickx , J. Broeckhove

Photodisintegration and radiative capture in the N2H, N3H, N3He, 2H2H, 2H3He, 2H4He, 3He3H, 4He3H, and 4He3He channels are studied on the basis of the corresponding two-cluster potential models. The astrophysical S factors at low energies…

Nuclear Theory · Physics 2015-06-26 S. B. Dubovichenko , A. V. Dzhazairov-Kakhramanov

The molecular algebraic model based on three and four alpha clusters is used to describe the inelastic scattering of alpha particles populating low-lying states in $^{12}$C and $^{16}$O. Optical potentials and inelastic formfactors are…

Nuclear Theory · Physics 2021-02-03 J. Casal , L. Fortunato , E. G. Lanza , A. Vitturi
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