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We investigate various interference effects in elastic scattering of the $\alpha + {}^{40}\text{Ca}$ system at $E_{\rm lab}=29$ MeV. To this end, we use an optical potential model and decompose the scattering amplitude into four components,…

Nuclear Theory · Physics 2025-01-17 Kyoungsu Heo , K. Hagino

We present a theoretical formalism for scattering of the twisted neutrons by nuclei in a kinematic regime where interference between Coulomb interaction and the strong interaction is essential. Twisted neutrons have definite quantized…

Nuclear Theory · Physics 2021-05-26 A. V. Afanasev , D. V. Karlovets , V. G. Serbo

We describe a method for obtaining the scattering matrix for nuclear or chemical reactions on a finite lattice. Aside from the preparation of the initial and final states as wave packets, the only other operation required is unitary time…

Nuclear Theory · Physics 2026-03-31 Evan Rule , Ionel Stetcu

A phenomenological optical potential is generalized to include the Coulomb and nuclear interactions caused by the dynamical deformation of its surface. In the high-energy approach analytical expressions for elastic and inelastic scattering…

Nuclear Theory · Physics 2009-11-11 V. K. Lukyanov , Z. Metawei , E. V. Zemlyanaya

Excitations of colliding nuclei during a nuclear reaction considerably affect fusion cross sections at energies around the Coulomb barrier. It has been demonstrated that such channel coupling effects can be represented in terms of a…

Nuclear Theory · Physics 2016-07-20 K. Hagino

With the quantum diffusion approach the behavior of capture cross sections and mean-square angular momenta of captured systems are revealed in the reactions with deformed and spherical nuclei at sub-barrier energies. With decreasing…

Nuclear Theory · Physics 2017-03-22 V. V. Sargsyan , R. A. Kuzyakin , G. G. Adamian , N. V. Antonenko , W. Scheid , H. Q. Zhang

We present a time-dependent quantum algorithm for nuclear inelastic scattering in the time-dependent basis function on qubits approach. This algorithm aims to quantum simulate a subset of the nuclear inelastic scattering problems that are…

Nuclear Theory · Physics 2021-07-28 Weijie Du , James P. Vary , Xingbo Zhao , Wei Zuo

Based on the quantum interference between two-identical-nucleus scattering at energies around the Coulomb barrier, the barrier positions for $^{58}$Ni+$^{58}$Ni and $^{16}$O+$^{16}$O are extracted from Mott oscillations in the angular…

Nuclear Theory · Physics 2018-07-31 Ning Wang , Yongxu Yang , Min Liu , Chengjian Lin

The method of fusion barrier distribution has been widely used to interpret the effect of nuclear structure on heavy-ion fusion reactions around the Coulomb barrier. We discuss a similar, but less well known, barrier distribution extracted…

Nuclear Theory · Physics 2015-06-26 K. Hagino , N. Rowley

The nuclear scattering at energies well above the Coulomb barrier allows for a fairly sensitive examination of the parameters of the optical potential when the relevant couplings are included into the calculations. In this work we present…

We use a three-body Continuum Discretized Coupled Channel (CDCC) model to investigate Coulomb and nuclear effects in breakup and reaction cross sections. The breakup of the projectile is simulated by a finite number of square integrable…

Nuclear Theory · Physics 2017-03-22 Pierre Descouvemont , L. Felipe Canto , Mahir S. Hussein

A computer program is presented which calculates the elastic and inelastic scattering in intermediate and high energy nuclear collisions. A coupled-channels method is used for Coulomb and nuclear excitations of E1, E2, E3, M1, and M2…

Nuclear Theory · Physics 2014-11-18 C. A. Bertulani , C. M. Campbell , T. Glasmacher

For a particle traversing a bent crystal in the regime of volume reflection we evaluate the probability of interaction with atomic nuclei. Regardless of the continuous potential shape, this probability is found to differ from the…

Accelerator Physics · Physics 2011-08-03 M. V. Bondarenco

With the quantum diffusion approach the behavior of capture cross sections and mean-square angular momenta of captured systems are revealed in the reactions with deformed nuclei at subbarrier energies. The calculated results are in a good…

Nuclear Theory · Physics 2011-11-10 V. V. Sargsyan , G. G. Adamian , N. V. Antonenko , W. Scheid , H. Q. Zhang

We incorporate the effect of lattice thermal vibrations into the Glauber theory description of particle- and nucleus-crystal Coulomb interactions at high-energy. The allowance for the lattice thermal vibrations is shown to produce strong…

High Energy Physics - Phenomenology · Physics 2009-11-10 V. R. Zoller

The Moliere theory of multiple Coulomb scattering is modified to take into account difference between scattering off atomic nuclei and electron. A simple analytical expression for angular distribution of charged particles passing through a…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. I. Striganov

The previously derived vortex atomic form factor, which is directly related to a differential reaction cross section, is used to analyze the elastic scattering of twisted vortex photons with a hydrogenic atomic target. The vortex atomic…

Quantum Physics · Physics 2019-09-18 Jack Gallahan

\begin{description} \item[Background] Fusion reactions play an important role in nucleosynthesis and in applications to society. Yet they remain challenging to model. \item[Purpose] In this work, we investigate the features of the…

Nuclear Theory · Physics 2025-07-16 J. Rangel , B. Pinheiro , V. A. B. Zagatto , J. Lubian , F. M. Nunes , L. F. Canto

A recapitulatory analysis of total nuclear cross sections of various nuclei is presented, which yields detailed knowledge on the different physical processes such as potential/resonance scatter and nuclear reactions. The physical base for…

Medical Physics · Physics 2010-09-07 W. Ulmer , E. Matsinos

Scattering resonances play a central role in collision processes in physics and chemistry. They help building an intuitive understanding of the collision dynamics due to the spatial localization of the scattering wavefunctions. For…

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