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Linear response time-dependent density functional theory is used to study low-lying electronic continuum states of targets that can bind an extra electron. Exact formulas to extract scattering amplitudes from the susceptibility are derived…

Other Condensed Matter · Physics 2009-11-11 Adam Wasserman , Neepa T. Maitra , Kieron Burke

Scattering on the ${\cal PT}$-symmetric Coulomb potential is studied along a U-shaped trajectory circumventing the origin in the complex $x$ plane from below. This trajectory reflects ${\cal PT}$ symmetry, sets the appropriate boundary…

Quantum Physics · Physics 2009-07-01 Geza Levai , Petr Siegl , Miloslav Znojil

We study the $2e^-2e^+$ equal-mass charge-neutral four-body system in the adiabatic hyperspherical framework. The lowest few adiabatic potentials are calculated for zero orbital angular momentum, positive parity, and charge conjugation…

Atomic Physics · Physics 2015-06-23 K. M. Daily , Javier von Stecher , Chris H. Greene

Continuum structures of three short-range interacting particles in a deformed external one-body field are investigated. We use the equivalent $d$-method employing non-integer dimension, $d$, in a spherical calculation with a…

Atomic Physics · Physics 2022-07-20 E. Garrido , E. R. Christensen , A. S. Jensen

The scattering phase shift of an electron transferred through a quantum dot is studied within a model Hamiltonian, accounting for both the electron--electron interaction in the dot and a finite temperature. It is shown that, unlike in an…

Condensed Matter · Physics 2009-10-28 Yuval Oreg , Yuval Gefen

We present recent results for neutron-rich Helium isotopes obtained from the hyperspherical harmonics method. Ground-state properties, like the binding energy and the point-proton radius are shown for the two-neutron halo nucleus 6He using…

Nuclear Theory · Physics 2013-02-12 Sonia Bacca

Using a quantum mechanical model, the exact energy eigenstates for two-particle two-channel scattering are studied in a cubic box with periodic boundary conditions. A relation between the exact energy eigenvalue in the box and the…

High Energy Physics - Lattice · Physics 2016-09-01 Chuan Liu , Xu Feng , Song He

In this paper, the approach for considering fast charged particles scattering on targets of complex structure, which contains some isolated substructures, was expanded to account quadratic potential terms. Based on this approach, the…

Quantum Physics · Physics 2025-11-25 Viktoriia Omelchenko

The bi-continuum model composed of two interpenetrating and dynamically coupled material continua is analysed as a simplified but relatively accurate way to describe some physical phenomena in crystalline solids. The essential novelty of…

Materials Science · Physics 2007-05-23 M. Sztyren

We study a class of swarming problems wherein particles evolve dynamically via pairwise interaction potentials and a velocity selection mechanism. We find that the swarming system undergoes various changes of state as a function of the…

Adaptation and Self-Organizing Systems · Physics 2009-11-11 Yao-li Chuang , Maria R. D'Orsogna , Daniel Marthaler , Andrea L. Bertozzi , Lincoln S. Chayes

A microscopic version of the Continuum Discretized Coupled Channel (CDCC) method is used to investigate $^{6}$He scattering on $^{27}$Al, $^{58}$Ni, $^{120}$Sn, and $^{208}$Pb at energies around the Coulomb barrier. The $^{6}$He nucleus is…

Nuclear Theory · Physics 2016-03-30 P. Descouvemont

We present an approach to accelerate real-space electronic structure methods several fold, without loss of accuracy, by reducing the dimension of the discrete eigenproblem that must be solved. To accomplish this, we construct an efficient,…

Computational Physics · Physics 2018-05-01 Qimen Xu , Phanish Suryanarayana , John E. Pask

Simultaneous analyses are performed for cross section data of elastic scattering, fusion, Coulomb breakup, and other direct yields for the $^{6}$He+$^{209}$Bi system at near-Coulomb-barrier energies. The bare and dynamical polarization…

Nuclear Theory · Physics 2024-02-08 H. M. Maridi , N. Keeley , K. Rusek

The eigenphase shifts and mixing parameters for elastic p-d scattering below the deuteron-breakup threshold are calculated for the AV14 two-body potential using two different numerical methods. The excellent agreement confirms that it is…

Nuclear Theory · Physics 2014-11-18 A. Kievsky , J. L. Friar , G. L. Payne , S. Rosati , M. Viviani

We present a lattice method for determining scattering phase shifts and mixing angles for the case of an arbitrary number of coupled channels. Previous nuclear lattice effective field theory simulations were restricted to mixing of up to…

Nuclear Theory · Physics 2019-12-12 Lukas Bovermann , Evgeny Epelbaum , Hermann Krebs , Dean Lee

We show that both confined atoms and electron-atom scattering can be described by a unified basis set method. The central idea behind this method is to place the atom inside a hard potential sphere, enforced by a standard Slater type basis…

Other Condensed Matter · Physics 2015-05-13 Meta van Faassen

The competition among reaction processes of a weakly-bound projectile at intermediate times of a slow collision has been unraveled. This has been done using a two-center molecular continuum within a semiclassical, time-dependent…

Nuclear Theory · Physics 2021-07-14 Laura Moschini , Alexis Diaz-Torres

A nonlinear electromagnetic scattering problem is studied in the presence of bound states in the radiation continuum. It is shown that the solution is not analytic in the nonlinear susceptibility and the conventional perturbation theory…

Mathematical Physics · Physics 2012-03-12 Friends Remy Ndangali , Sergei V. Shabanov

We investigate the diagonal entropy(DE) of the ground state for quantum many-body systems, including the XY model and the Ising model with next nearest neighbour interactions. We focus on the DE of a subsystem of L continuous spins. We show…

Quantum Physics · Physics 2020-03-04 Zhengan Wang , Zheng-Hang Sun , Yu Zeng , Haifeng Lang , Qiantan Hong , Jian Cui , Heng Fan
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