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An application of a quantum wave impedance method for a study of quantum-mechanical systems which con\-tain singular zero-range potentials is considered. It was shown how to reformulate the problem of an investigation of mentioned systems…

Quantum Physics · Physics 2020-10-15 O. I. Hryhorchak

We introduce a unified approach to nuclear bound and continuum states based on the coupling of the no-core shell model (NCSM), a bound-state technique, with the no-core shell model/resonating group method (NCSM/RGM), a nuclear scattering…

Nuclear Theory · Physics 2013-04-03 Simone Baroni , Petr Navratil , Sofia Quaglioni

Bound states of hyperbolic potential is investigated by means of a generalized pseudospectral method. Significantly improved eigenvalues, eigenfunctions are obtained efficiently for arbitrary $n, \ell$ quantum states by solving the relevant…

Chemical Physics · Physics 2015-06-22 Amlan K. Roy

Single-particle resonance parameters and wave functions in spherical and deformed nuclei are determined through analytic continuation in the potential strength. In this method, the analyticity of the eigenvalues and eigenfunctions of the…

Nuclear Theory · Physics 2009-11-06 G. Cattapan , E. Maglione

This talk reviews several aspects of the "semirelativistic" description of bound states by the spinless Salpeter equation (which represents the simplest equation of motion incorporating relativistic effects) and, in particular, presents or…

High Energy Physics - Phenomenology · Physics 2011-04-15 Wolfgang Lucha , F. F. Schoberl

In this note, we present a novel method of extracting the couplings of a new heavy particle to the Standard Model states. Contrary to the usual discovery process which involves studying the on-shell production, we look at regions away from…

High Energy Physics - Phenomenology · Physics 2014-10-10 Baradhwaj Coleppa , Tanumoy Mandal , Subhadip Mitra

Bound state in the continuum (BIC) and quasi-BIC represent a remarkable class of wave functions that disobey conventional intuition by exhibiting spatially localized modes embedded in the continuum spectrum. In recent years, these states…

Quantum Physics · Physics 2025-06-25 Zeyu Rao , Changling Zou , Yang Chen , Guangcan Guo , Ming Gong

We apply a stochastic method of minimizing the ground state energy in variational calculations of light nuclei using the Refined Resonating Group Model (RRGM). The method utilizes a bit representation of the width parameters to be varied.…

Nuclear Theory · Physics 2008-11-26 Christian Winkler , Hartmut M. Hofmann

The bound-state problem for an uncharged massive scalar particle in the field of a naked Reissner-Nordstr\"om singularity is approached by means of the quasiclassical Bohr-Sommerfeld quantization. An approximate analytical expression for…

General Relativity and Quantum Cosmology · Physics 2011-10-17 Valentin D. Gladush , Dmitry A. Kulikov

Linear response theories in the continuum capable of describing continuum spectra and dynamical correlations are presented. Our formulation is essentially the same as the continuum random-phase approximation (RPA) but suitable for uniform…

Nuclear Theory · Physics 2017-08-23 Takashi Nakatsukasa , Kazuhiro Yabana

We propose a practical parametrisation for the line shapes of near-threshold states compatible with all requirements of unitarity and analyticity. The coupled-channel system underlying the proposed parametrisation includes bare poles and an…

High Energy Physics - Phenomenology · Physics 2016-04-26 F. -K. Guo , C. Hanhart , Yu. S. Kalashnikova , P. Matuschek , R. V. Mizuk , A. V. Nefediev , Q. Wang , J. -L. Wynen

$N$-body non efimovian bound or quasi-bound states for particles with short range interactions are considered in arbitrary dimensions. The different resonance regimes near the threshold are depicted by using a generalization of the…

Quantum Gases · Physics 2024-10-09 Ludovic Pricoupenko

The one-dimensional Vlasov-Poisson system is considered and a particle method is developed to approximate solutions without compact support which tend to a fixed background of charge as $| x | \to \infty$. Such a system of equations can be…

Numerical Analysis · Mathematics 2014-01-03 Stephen Pankavich

This paper presents a modified quasi-reversibility method for computing the exponentially unstable solution of a nonlocal terminal-boundary value parabolic problem with noisy data. Based on data measurements, we perturb the problem by the…

Numerical Analysis · Mathematics 2018-10-18 Nguyen Huy Tuan , Vo Anh Khoa , Vo Van Au

In this letter, by writing the volume as a function of coordinates of atoms, we present a new constant-pressure molecular dynamics method with parameters free. This method is specially appropriate for the finite system in which the periodic…

Materials Science · Physics 2015-06-24 D. Y. Sun , X. G. Gong

We consider the quasi-classical model of the spin-free configuration on the basis of the self-gravitating spherical dust shell in General Relativity. For determination of the energy spectrum of the stationary states on the basis of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 V. D. Gladush

We present a method enabling us to write in relativistic manner the wave function of some particular two particle bound state models in quantum mechanics. The idea is to expand the bound state wave function in terms of free states and to…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. Micu

A method for solving the shell-model eigenproblem in a severely truncated space, spanned by properly selected correlated states obtained by partitioning the full configuration space, is proposed. The method describes in a practically exact…

Nuclear Theory · Physics 2016-09-08 F. Andreozzi , A. Porrino

Recently, the shell model in the complex k-plane (the so-called Gamow Shell Model) has been formulated using a complex Berggren ensemble representing bound single-particle states, single-particle resonances, and non-resonant continuum…

Nuclear Theory · Physics 2015-06-26 N. Michel , W. Nazarewicz , M. Ploszajczak , J. Rotureau

The present paper intends to present an extension of the constrained-path quantum Monte-Carlo approach allowing to reconstruct non-yrast states in order to reach the complete spectroscopy of nuclei within the interacting shell model. As in…

Nuclear Theory · Physics 2016-05-24 J. Bonnard , O. Juillet