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We construct an asymptotic approximation to the solution of a transmission problem for a body containing a region occupied by many small inclusions. The cluster of inclusions is characterised by two small parameters that determine the…

Analysis of PDEs · Mathematics 2016-07-22 Michael Nieves

We apply the ab initio no-core shell model/resonating group method (NCSM/RGM) approach to calculate the cross section of the 7Be(p,gamma)8B radiative capture. This reaction is important for understanding the solar neutrino flux. Starting…

Nuclear Theory · Physics 2015-05-28 Petr Navratil , Robert Roth , Sofia Quaglioni

Absorbing boundary condition approach to nuclear breakup reactions is investigated. A key ingredient of the method is an absorbing potential outside the physical area, which simulates the outgoing boundary condition for scattered waves.…

Nuclear Theory · Physics 2009-11-07 Manabu Ueda , Kazuhiro Yabana , Takashi Nakatsukasa

Recent advances in the treatment of scattering of charged composite particles are reviewed. In a first part I report on developments of the theory. Specifically I describe the recent completion of the derivation of the co-ordinate space…

Nuclear Theory · Physics 2011-04-15 E. O. Alt

We consider the binding energy of a two-body system with a repulsive Coulomb interaction in a finite periodic volume. We define the finite-volume Coulomb potential as the usual Coulomb potential, except that the distance is defined as the…

Nuclear Theory · Physics 2023-12-01 Hang Yu , Sebastian König , Dean Lee

Attosecond ionization time-delays at photoelectron energies above typically 10 eV are usually interpreted using the so called asymptotic approximation as a sum of the atomic or molecular delays with a universal laser-induced contribution.…

A new analysis of the modern precise measured astrophysical $S$ factors for the direct capture $^3He(\alpha,\gamma)^7{\rm {Be}}$ reaction [B.S. Nara Singh {\it et al.}, Phys.Rev.Lett. {\bf 93}, 262503 (2004); D. Bemmerer {\it et al.},…

Nuclear Theory · Physics 2015-05-13 S. B. Igamov , Q. I. Tursunmahatov , R. Yarmukhamedov

Nuclear decays into three-particle channels are considered in a few-body approach of hyperspherical harmonics with emphasis on simultaneous, or direct, emission of two protons. General conditions of direct decays are described and their…

Nuclear Experiment · Physics 2009-10-31 Ivan Mukha

Discrete gamma-rays from the neutron capture state of 13C to its low-lying bound states have been measured using pulsed neutrons at En = 550 keV. The partial capture cross sections have been determined to be 1.7+/-0.5, 24.2+/-1.0, 2.0+/-0.4…

Nuclear Theory · Physics 2008-11-26 T. Kikuchi , Y. Nagai , T. S. Suzuki , T. Shima , T. Kii , M. Igashira , A. Mengoni , T. Otsuka

In this paper, we develop a systematical approach in applying an asymptotic method of moving planes to investigate qualitative properties of positive solutions for fractional parabolic equations. We first obtain a series of needed key…

Analysis of PDEs · Mathematics 2020-06-26 Wenxiong Chen , Pengyan Wang , Yahui Niu , Yunyun Hu

Based on the value of the orbital eccentricity of a particle and also its proximity to the exact resonant orbit in a three-body system, the Pendulum Approximation (Dermott & Murray 1983) or the Second Fundamental Model of Resonance (Andoyer…

Astrophysics · Physics 2009-11-06 Nader Haghighipour

A new variational basis with well-behaved local approximation properties and multiple output is proposed for Coulomb systems. The trial function has proper behaviour at all Coulomb centres. Nonlinear asymptotic parameters are introduced…

Atomic Physics · Physics 2007-05-23 Vladimir S. Vanyashin

In this paper, we present a new method via the transfer matrix approach to obtain asymptotic formulae of orthogonal polynomials with asymptotically identical coefficients of bounded variation. We make use of the hyperbolicity of the…

Classical Analysis and ODEs · Mathematics 2011-03-31 Manwah Lilian Wong

Resonant P-wave interactions can be described by a minimal zero-range model defined by a truncated effective range expansion, so that the only 2-body interaction parameters are the inverse scattering volume 1/a_P and the P-wave effective…

Quantum Gases · Physics 2012-08-20 Eric Braaten , P. Hagen , H. -W. Hammer , L. Platter

We report a numerical calculation of the two-photon absorption coefficient of electrons in a binding potential using the real-time real-space higher-order difference method. By introducing random vector averaging for the intermediate state,…

Materials Science · Physics 2009-10-31 Yoshiyuki Kurokawa , Shintaro Nomura , Tadashi Takemori , Yoshinobu Aoyagi

In this paper we present an efficient numerical approach based on the Renormalization Group method for the computation of self-similar dynamics. The latter arise, for instance, as the long-time asymptotic behavior of solutions to nonlinear…

Analysis of PDEs · Mathematics 2016-09-06 Gastao A. Braga , Frederico Furtado , Jussara M. Moreira , Leonardo T. Rolla

We consider $(p+1)$-form gauge fields in flat $(2p+4)$-dimensions for which the radiation and the Coulomb solutions have the same asymptotic falloff behavior. Imposing appropriate falloff behavior on fields and adopting a Maxwell-type…

High Energy Physics - Theory · Physics 2018-08-28 Hamid Afshar , Erfan Esmaeili , M. M. Sheikh-Jabbari

The Quasiparticle Random Phase Approximation (QRPA) is used in evaluation of the total muon capture ratesfor the final nuclei participating in double-beta decay. Several variants of the method are used, depending on the size of the single…

Nuclear Theory · Physics 2020-09-09 Fedor Simkovic , Rastislav Dvornicky , Petr Vogel

Point defects in semiconductor crystals provide a means for carriers to recombine nonradiatively. This recombination process impacts the performance of devices. We present the Nonrad code that implements the first-principles approach of…

The semiclassical, dynamical description of diffraction dissociation of weakly bound nuclei is applied to analyze the decay-energy spectra of $^{15}$C that have been measured at 68 MeV/nucleon on a Pb target. The optical potentials that are…

Nuclear Theory · Physics 2014-11-20 H. Esbensen