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Calculating the values of nuclear correlation functions is computationally intensive due to the fact that the number of terms in a nuclear wave function scales exponentially with atomic number. To speed up this computation, we represent a…

High Energy Physics - Lattice · Physics 2014-11-14 Pranjal Vachaspati , William Detmold

Recently, Merca and Schmidt found some decompositions for the partition function $p(n)$ in terms of the classical M\"{o}bius function as well as Euler's totient. In this paper, we define a counting function $T_k^r(m)$ on the set of…

Combinatorics · Mathematics 2024-09-04 Subhajit Bandyopadhyay , Nayandeep Deka Baruah

We propose a method for measuring the hadron charge asymmetry in $\ee$ collisions which is based upon the fragmentation function formalism, and is largely independent of modelling of fragmentation effects. Furthermore, in this method, QCD…

High Energy Physics - Phenomenology · Physics 2009-10-28 P. Nason , B. W. Webber

We study the correlations (and alignment as a particular case) existent between the fragments originated in a decaying process when the daughter particles interact. The interaction between the particles is modeled using the potential of…

Quantum Physics · Physics 2009-11-13 Pedro Sancho

Correlation functions measured as a function of $\Delta \eta, \Delta \phi$ have emerged as a powerful tool to study the dynamics of particle production in nuclear collisions at high energy. They are however subject, like any other…

Nuclear Experiment · Physics 2014-02-26 Shantam Ravan , Prabhat Pujahari , Sidharth Prasad , Claude A. Pruneau

An exact cubic open string field theory rolling tachyon solution was recently found by Kiermaier et. al. and Schnabl. This oscillatory solution has been argued to be related by a field redefinition to the simple exponential rolling tachyon…

High Energy Physics - Theory · Physics 2008-11-26 Niko Jokela , Matti Jarvinen , Esko Keski-Vakkuri , Jaydeep Majumder

Calculating dynamical spin correlations is essential for matching model magnetic exchange Hamiltonians to momentum-resolved spectroscopic measurements. A major numerical bottleneck is the diagonalization of the dynamical matrix, especially…

Strongly Correlated Electrons · Physics 2024-11-27 Harry Lane , Hao Zhang , David Dahlbom , Sam Quinn , Rolando D. Somma , Martin Mourigal , Cristian D. Batista , Kipton Barros

Assuming a logarithmic interaction between constituent particles, compact and locally accurate wave functions that describe bound states of the two-particle neutral and three-particle charged complexes in two dimensions are designed. Prime…

Materials Science · Physics 2023-09-29 J. C. del Valle , J. A. Segura Landa , D. J. Nader

The account of electron correlation and its efficient separation into dynamic and nondynamic parts plays a key role in the development of computational methods. In this paper we suggest a physically-sound matrix formulation to split…

Chemical Physics · Physics 2016-08-16 Eloy Ramos-Cordoba , Pedro Salvador , Eduard Matito

Differential cross sections are computed for the title polar molecule using static interaction, exchange forces and correlation-polarisation effects as described in detail in the main text. The dipole effect is also reported via the dipole…

Chemical Physics · Physics 2009-11-13 F. A. Gianturco , T. Stoecklin

All integrals needed to evaluate the correlated wave functions with polynomial terms of inter-electronic distance are included. For this form of the wave function, the integrals needed can be expressed as a product of integrals involving at…

Mathematical Physics · Physics 2015-05-27 E. V. Rothstein

We calculate the partition function for "composite particles". For any finite number of states d, and in the following two cases: 1)all states have the same energy, 2)the energy is linearly distributed over the states, we transform the…

Condensed Matter · Physics 2007-05-23 M. Bergère

We compute the two-point correlation function for spin configurations which are obtained by solving the Euclidean matching problem, for one family of points on a grid, and the second family chosen uniformly at random, when the cost depends…

Disordered Systems and Neural Networks · Physics 2014-12-17 Elena Boniolo , Sergio Caracciolo , Andrea Sportiello

New formulas are given for the grand partition function of paraboson systems of order p with n orbitals and parafermion systems of order p with m orbitals. These formulas allow the computation of statistical and thermodynamic functions for…

Statistical Mechanics · Physics 2020-10-09 N. I. Stoilova , J. Van der Jeugt

In this article we will derive a combinatorial formula for the partition function p(n). In the second part of the paper we will establish connection between partitions and q-binomial coefficients and give new interpretation for q-binomial…

Combinatorics · Mathematics 2016-05-10 Zhumagali Shomanov

We study baryon and diquark correlation functions in the framework of an instanton model for the QCD vacuum. The model naturally accomodates a light scalar diquark. As a consequence, the correlation functions for the nucleon and delta are…

High Energy Physics - Phenomenology · Physics 2009-10-22 T. Schaefer , E. V. Shuryak , J. Verbaarschot

Perturbation theory is an important tool to describe the properties of QCD at very high temperatures. Recently a new technique has been proposed to compute the one-loop effective action of QCD at finite temperature by making a gauge…

High Energy Physics - Phenomenology · Physics 2009-11-10 E. Megias

The electronic and emission properties of correlated multi-particle states are studied theoretically using ${\bf k}\cdot{\bf p}$ and the configuration interaction methods on a well-known and measured GaAs/AlGaAs quantum dots as a test…

Mesoscale and Nanoscale Physics · Physics 2025-04-15 Petr Klenovsky

We have addressed here the problem of calculating the correlation function of a stable particle with a resonance, in particular one resonance that qualifies as a molecular state of two components. The formalism used requires to evaluate the…

High Energy Physics - Phenomenology · Physics 2025-06-04 Pablo Encarnación , Albert Feijoo , Eulogio Oset

Parton distribution and correlation functions describe the relation between a hadron and the quarks and gluons (or collectively, the partons) within it, and carry rich information on hadron's partonic structure that cannot be calculated by…

High Energy Physics - Phenomenology · Physics 2020-01-08 Jian-Wei Qiu