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We derive an exact Volterra series expansion for a mean field of an interacting particle system subject to a potential perturbation, expressing the Volterra expansion kernels in terms of the field's response functions, to any order.…

Statistical Mechanics · Physics 2026-01-12 Ion Santra , Matthias Krüger

The variational determination of the two-boson reduced density matrix is described for a one-dimensional system of $N$ (where $N$ ranges from $2$ to $10^4$) harmonically trapped bosons interacting via contact interaction. The ground-state…

Quantum Gases · Physics 2026-04-27 Mitchell J. Knight , Harry M. Quiney , Andy M. Martin

Precision experiments at low energies probing weak interaction are a very promising and complementary tool for investigating the structure of the electro-weak sector of the standard model, and for searching for new phenomena revealing signs…

High Energy Physics - Experiment · Physics 2010-02-25 Stephan Paul

We examine the dynamics of bipartite entanglement between a two-level atom and the electromagnetic field. We treat the Jaynes-Cummings model with a single field mode and examine in detail the exact time evolution of entanglement, including…

Quantum Physics · Physics 2010-10-04 Nick Cummings , B. L. Hu

We obtain the exact ground state and a part of the excitation spectrum in one dimension on a line and the exact ground state on a circle in a case where N particles are interacting via nearest- and next-to-nearest neighbour interactions.…

Condensed Matter · Physics 2009-10-31 Guy Auberson , Sudhir R. Jain , Avinash Khare

The search for a quasi bound $\eta$ meson in atomic nuclei is reviewed. This tentative state is studied theoretically as well as experimentally. The theory starts from elastic $\eta$ nucleon scattering which is derived from production data…

Nuclear Theory · Physics 2015-06-23 H. Machner

Species evolution is essentially a random process of interaction between biological populations and their environments. As a result, some physical parameters in evolution models are subject to statistical fluctuations. In this paper, two…

Populations and Evolution · Quantitative Biology 2015-06-02 Duo-Fang Li , Tian-Guang Cao , Jin-Peng Geng , Li-Hua Qiao , Jian-Zhong Gu , Yong Zhan

Ageing in systems without detailed balance is studied in the exactly solvable bosonic contact process and the critical bosonic pair-contact process. The two-time correlation function and the two-time response function are explicitly found.…

Statistical Mechanics · Physics 2011-07-19 Florian Baumann , Malte Henkel , Michel Pleimling , Jean Richert

We study the methods and their accuracies for determining tan$\beta$ in two Higgs doublet models at future lepton colliders. In addition to the previously proposed methods using direct production of additional Higgs bosons, we propose a…

High Energy Physics - Phenomenology · Physics 2014-07-29 Hiroshi Yokoya

We consider N trapped bosons in R 3 interacting via a pair potential w which has a long range of dipolar type. We show the convergence of the energy and of the minimizers for the many-body problem towards those of the dipolar…

Mathematical Physics · Physics 2017-03-13 Arnaud Triay

The probability of Z-boson decay to a pair of charged fermions in a strong electromagnetic field, is calculated. On the basis of a method that employs exact solutions to relativistic wave equations for charged particles, analytic…

High Energy Physics - Phenomenology · Physics 2013-09-12 Alexander V. Kurilin

Neutrinoless double beta decay ($0\nu\beta\beta$) is a crucial test for lepton number violation. Observation of this process would have fundamental implications for neutrino physics, theories beyond the Standard Model and cosmology.…

High Energy Physics - Phenomenology · Physics 2020-12-01 Frank F. Deppisch , Lukas Graf , Francesco Iachello , Jenni Kotila

We consider a gas of N particles with a general two-body interaction and confined by an external potential in the mean field or high temperature regime, that is when the inverse temperature satisfies $\beta N \to \kappa \ge 0$ as…

Probability · Mathematics 2019-12-24 Gaultier Lambert

We investigate the survival of symmetries in a relativistic system of two mutually interacting bosons coupled with an external field, when this field is "strongly" translation invariant in some directions and additionally remains unchanged…

High Energy Physics - Theory · Physics 2009-07-24 Philippe Droz-Vincent

In the low-energy limit, non-relativistic particles with short-range interactions exhibit universal behavior that is largely independent of microscopic details. This universality is typically described by effective field theory, in which…

Quantum Gases · Physics 2025-06-17 Langxuan Chen , Pengfei Zhang

From the experimental data on odd-even staggering of masses, we have shown that variation of pairing as a function of neutron number plays an important role in many distinctive features like occurrence of new shell closures, shell erosion,…

Nuclear Theory · Physics 2012-04-24 M. Saha Sarkar , S. Sarkar

We consider one dimensional interacting bose-fermi mixture with equal masses of bosons and fermions, and with equal and repulsive interactions between bose-fermi and bose-bose particles. Such a system can be realized in current experiments…

Strongly Correlated Electrons · Physics 2007-05-23 Adilet Imambekov , Eugene Demler

Classical spin systems with nonadditive long-range interactions are studied in the microcanonical ensemble. It is expected that the entropy of such a system is identical to that of the corresponding mean-field model, which is called…

Statistical Mechanics · Physics 2012-06-29 Takashi Mori

In the present work, beta-decay properties such as $\log ft$ values and half-lives have been systematically studied corresponding to Ba isotopes using large-scale shell-model calculations. An extensive comparison of beta decay results…

Nuclear Theory · Physics 2024-03-11 Shweta Sharma , Praveen C. Srivastava

The neutron-rich nucleus $^{144}$Ba ($t_{1/2}$=11.5 s) is expected to exhibit some of the strongest octupole correlations among nuclei with mass numbers $A$ less than 200. Until now, indirect evidence for such strong correlations has been…