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Related papers: New method for calculating shell correction

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We discuss a numerical method to compute the homogeneous solutions of the Teukolsky equation which is the basic equation of the black hole perturbation method. We use the formalism developed by Mano, Suzuki and Takasugi, in which the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Ryuichi Fujita , Hideyuki Tagoshi

An efficient numerical method for computing angle-resolved light scattering off periodic arrays is presented. The method combines finite-element discretization with a Schur complement solver. A significant speed-up of the computations in…

Optics · Physics 2016-03-15 J. Pomplun , S. Burger , L. Zschiedrich , P. Gutsche , F. Schmidt

New stochastic approaches for the computation of electronic excitations are developed within the many-body perturbation theory. Three approximations to the electronic self-energy are considered: $G_0W_0$, $G_0W_0^tc$, and…

Chemical Physics · Physics 2019-08-27 Vojtech Vlcek

The shell model Monte Carlo (SMMC) method enables calculations in model spaces that are many orders of magnitude larger than those that can be treated by conventional methods, and is particularly suitable for the calculation of level…

Nuclear Theory · Physics 2015-06-18 Y. Alhassid , M. Bonett-Matiz , S. Liu , A. Mukherjee , H. Nakada

We describe an efficient algorithm for calculating the statistics of weak lensing by large-scale structure based on a tiled set of independent particle-mesh N-body simulations which telescope in resolution along the line of sight. This…

Astrophysics · Physics 2008-11-26 Martin White , Wayne Hu

In this paper, we introduce a method for calculating the deflection angle in the weak-field approximation, applicable to both null and timelike rays. By combining the trajectory equation $\mathcal{Z}(u)=(du/d\phi)^2$ and the `straight line'…

General Relativity and Quantum Cosmology · Physics 2024-01-30 Zonghai Li

We apply the Hulth\`en-Kohn method suggested by V. D. Efros [Phys. Rev. C 99, 034620 (2019)] for calculating various observables in the continuum and discrete spectrum using two-body interactions in single- and coupled-channel systems. This…

Nuclear Theory · Physics 2025-09-04 M. A. Sharaf , A. M. Shirokov , W. Du , J. P. Vary

In this talk we present our detail study ( theory and numbers) [1] on the shadowing corrections to the gluon structure functions for nuclei. Starting from rather contraversial information on the nucleon structure function which is…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. L. Ayala , M. B. Gay Ducati , E. M. Levin

A new scheme for the numerical evaluation of the one-loop self-energy correction to all orders in Z \alpha is presented. The scheme proposed inherits the attractive features of the standard potential-expansion method but yields a…

Atomic Physics · Physics 2009-11-11 Vladimir A. Yerokhin , Krzysztof Pachucki , Vladimir M. Shabaev

The method recently proposed by Skala and Cizek for calculating perturbation energies in a strict sense is ambiguous because it is expressed as a ratio of two quantities which are separately divergent. Even though this ratio comes out…

Quantum Physics · Physics 2008-11-26 C. K. Au , Chi-Keung Chow , Chong-Sun Chu

Background: Precise measurements of atomic transitions affected by electron-nucleus hyperfine interactions offer sensitivity to explore basic properties of the atomic nucleus and study fundamental symmetries, including the search for new…

Nuclear Theory · Physics 2023-06-06 Paul-Gerhard Reinhard , Witold Nazarewicz

The complex scaling method (CSM) is a useful similarity transformation of the Schr\"odinger equation, in which bound-state spectra are not changed but continuum spectra are separated into resonant and non-resonant continuum ones. Because…

Nuclear Theory · Physics 2014-10-17 Takayuki Myo , Yuma Kikuchi , Hiroshi Masui , Kiyoshi Kato

The spectral function for finite nuclei is computed within the framework of the Local Density Approximation, starting from nuclear matter spectral functions obtained with a realistic nucleon-nucleon interaction. The spectral function is…

Nuclear Theory · Physics 2008-11-26 D. Van Neck , A. E. L. Dieperink , E. Moya de Guerra

The scission of a nucleus into two fragments is at present the least understood part of the fission process, though the most important for the formation of the observables. To investigate the potential energy landscape at the largest…

Nuclear Theory · Physics 2013-04-01 Fedir Ivanyuk

We present some aspects of high precision calculations in the context of Lattice Quantum Field Theory. This work is a collection of three studies done during my Ph.D. period. First we present how to use the reweighting technique to…

High Energy Physics - Lattice · Physics 2017-10-04 Andrea Bussone

We present new calculations of the energy flux of a spinning test-body on circular orbits around a Schwarzschild black hole at linear order in the particle spin. We compute the multipolar fluxes up to $\ell=m=6$ using two independent…

General Relativity and Quantum Cosmology · Physics 2019-12-04 Alessandro Nagar , Francesco Messina , Chris Kavanagh , Georgios Lukes-Gerakopoulos , Niels Warburton , Sebastiano Bernuzzi , Enno Harms

We propose a method for eliminating the truncation error associated with any subspace diagonalization calculation. The new method, called stochastic error correction, uses Monte Carlo sampling to compute the contribution of the remaining…

High Energy Physics - Lattice · Physics 2009-10-31 Dean Lee , Nathan Salwen , Mark Windoloski

We review recent advances in the shell model Monte Carlo approach for the microscopic calculation of statistical and collective properties of nuclei. We discuss applications to the calculation of (i) level densities in nickel isotopes,…

Nuclear Theory · Physics 2016-01-05 Y. Alhassid

We consider a novel approach to the nuclear shell model. The one-dimensional harmonic oscillator in a box is used to introduce the concept of an oblique-basis shell-model theory. By implementing the Lanczos method for diagonalization of…

Nuclear Theory · Physics 2010-02-18 V. G. Gueorguiev

We introduce one-center method in spherical coordinates to carry out Hartree-Fock calculations. Both the radial wave function and the angular wave function are expanded by B-splines, and the radial knots and angular knots are adjusted to…

Atomic Physics · Physics 2013-08-30 Shi-lin Hu , Zeng-xiu Zhao , Ting-yun Shi