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We introduce a Monte Carlo method for computing derivatives of the solution to a partial differential equation (PDE) with respect to problem parameters (such as domain geometry or boundary conditions). Derivatives can be evaluated at…

Graphics · Computer Science 2024-09-19 Bailey Miller , Rohan Sawhney , Keenan Crane , Ioannis Gkioulekas

Because of their narrow width, tau decays can be well separated from their production process. Only spin degrees of freedom connect these two parts of the physics process of interest for high energy collision experiments. In the following,…

High Energy Physics - Phenomenology · Physics 2015-05-18 N. Davidson , G. Nanava , T. Przedzinski , E. Richter-Was , Z. Was

We propose a new method to extract a CP angle $\gamma$ from semi-inclusive two-body nonleptonic decays, b ---> D^0(\bar{D}^0) s and b ---> D_{CP} s. This method is free from the unknown long distance strong interaction effects and gives…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ji-Ho Jang

A method of truncating the large shell model basis is outlined. It relies on the order given by the unperturbed energies of the basis states and on the constancy of their spreading widths. Both quantities can be calculated by a simple…

Nuclear Theory · Physics 2009-09-25 Mihai Horoi , B. Alex Brown , Vladimir Zelevinsky

We perform a lattice QCD calculation of the $\chi_{c0} \rightarrow 2\gamma$ decay width using a model-independent method which does not require a momentum extrapolation of the corresponding off-shell form factors. The simulation is…

High Energy Physics - Lattice · Physics 2022-05-04 Zuoheng Zou , Yu Meng , Chuan Liu

In many statistical multifragmentation models the volume available to the $N$ nonoverlapping fragments forming a given partition is a basic ingredient serving to the simplification of the density of states formula. One therefore needs…

Nuclear Theory · Physics 2009-11-06 Al. H. Raduta

We consider the Penrose process near the naked singularity in the Reissner-Nordstr\"{o}m metric. Particle 0 falls from infinity and decays to two fragments at some point $r_{0}$. We show that the energy extraction due to this process can be…

General Relativity and Quantum Cosmology · Physics 2022-07-13 O. B. Zaslavskii

We derive a mixed integer nonlinear programming formulation for the problem of finding a convex polygon with a given number of vertices that is small (diameter at most one) and has maximum perimeter. The formulation is based on a geometric…

Optimization and Control · Mathematics 2024-04-03 Bernd Mulansky , Andreas Potschka

We review and compare different computational variational methods applied to a system of fourth order equations that arises as a model of cylinder buckling. We describe both the discretization and implementation, in particular how to deal…

Analysis of PDEs · Mathematics 2007-05-23 Jiri Horak , Gabriel J. Lord , Mark A. Peletier

Estimating the volume of a convex body is a central problem in convex geometry and can be viewed as a continuous version of counting. We present a quantum algorithm that estimates the volume of an $n$-dimensional convex body within…

Quantum Physics · Physics 2023-05-11 Shouvanik Chakrabarti , Andrew M. Childs , Shih-Han Hung , Tongyang Li , Chunhao Wang , Xiaodi Wu

We study the recently introduced boolean-width of graphs. Our structural results are as follows. Firstly, we show that almost surely the boolean-width of a random graph on $n$ vertices is $O(\log^2 n)$, and it is easy to find the…

Combinatorics · Mathematics 2009-08-20 Y. Rabinovich , J. A. Telle

Sequence partition problems arise in many fields, such as sequential data analysis, information transmission, and parallel computing. In this paper, we study the following partition problem variant: given a sequence of $n$ items…

Data Structures and Algorithms · Computer Science 2022-10-12 Kai Jin , Danna Zhang , Canhui Zhang

We use on-shell Supersymmetry to constrain the three-point function of two massless particles and one massive particle in 3+1 dimensions. We use this information to write down the tree-level four-point function of massless particles for…

High Energy Physics - Theory · Physics 2023-06-28 Mahesh K. N. Balasubramanian , Kushal Chakraborty , Arnab Rudra , Arnab Priya Saha

Finding numerical solutions describing bubble nucleation is notoriously difficult in more than one field space dimension. Traditional shooting methods fail because of the extreme non-linearity of field evolution over a macroscopic distance…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Ali Masoumi , Ken D. Olum , Benjamin Shlaer

The properties of nucleon-nucleon scattering inside dense nuclear matter are investigated. We use the relativistic Brueckner-Hartree-Fock model to determine on-shell and half off-shell in-medium transition amplitudes and cross sections. At…

Nuclear Theory · Physics 2009-11-07 C. Fuchs , Amand Faessler , M. El-Shabshiry

We approach the calculation of the nuclear matrix element of the neutrinoless double-beta decay process, considering the light-neutrino-exchange channel, by way of the realistic shell model. To this end, we start from a realistic…

Nuclear Theory · Physics 2020-04-29 L. Coraggio , A. Gargano , N. Itaco , R. Mancino , F. Nowacki

An expansion of a density field or particle distribution in basis functions which solve the Poisson equation both provides an easily parallelized n-body force algorithm and simplifies perturbation theories. The expansion converges quickly…

Astrophysics · Physics 2009-10-30 Martin D. Weinberg

In this paper, we use the non-critical string/gauge duality to calculate the decay widths of large-spin mesons. Since it is believed that the string theory of QCD is not a ten dimensional theory, we expect that the non-critical versions of…

High Energy Physics - Theory · Physics 2013-05-29 J. Sadeghi , S. Heshmatian

A method based on the envelope theory is presented to compute approximate solutions for $N$-body Hamiltonians with identical particles in $D$ dimensions ($D\ge 2$). In some favorable cases, the approximate eigenvalues can be analytically…

Quantum Physics · Physics 2013-11-14 C. Semay , C. Roland

Cosmological N-Body simulations have become an essential tool for studying formation of large scale structure. These simulations are computationally challenging even though the available computing power gets better every year. A number of…

Astrophysics · Physics 2007-05-23 J. S. Bagla
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