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The complex energies of the three-body resonances for one infinitely heavy particle and two non-interacting light particles are the sum of the two contributing two-body complex resonance energies. The bound state of a Borromean system…

Nuclear Theory · Physics 2009-11-10 E. Garrido , D. V. Fedorov , A. S. Jensen

We describe new exact results for a model of ionization of a bound state, induced by an oscillating potential. In particular we have obtained exact expressions, in the form of readily computable rapidly convergent sums, for the energy…

Mathematical Physics · Physics 2017-10-17 Ovidiu Costin , Rodica D. Costin , Joel L. Lebowitz

The energy level structure of ${}^{12}$C nucleus at a few MeV above the three-$\alpha$ threshold is still unsatisfactory known. For instance, most microscopic calculations predicted that there exist one $0^+$-state in this energy region…

Nuclear Theory · Physics 2017-01-09 Souichi Ishikawa

At long times residual couplings to the environment become relevant even in the most isolated experiments, creating a crucial difficulty for the study of fundamental aspects of many-body dynamics. A particular example is many-body…

Disordered Systems and Neural Networks · Physics 2017-12-18 Evert P. L. van Nieuwenburg , Jorge Yago Malo , Andrew J. Daley , Mark H. Fischer

By a proper choice of the excitation energy per nucleon we analyze the mass distributions of the nuclear fragmentation at various excitation energies. Starting from low energies (between 0.1 and 1 MeV/nucleon) up to higher energies about 12…

Nuclear Theory · Physics 2008-11-26 N. Eren , N. Buyukcizmeci , R. Ogul

We study the late-time dynamics of two particles confined in one spatial dimension and subject to two-body losses. The dynamics is exactly described by a non-Hermitian Hamiltonian that can be analytically studied both in the continuum and…

Quantum Gases · Physics 2024-11-01 Alice Marché , Hironobu Yoshida , Alberto Nardin , Hosho Katsura , Leonardo Mazza

This paper looks at the two-layer ocean model from a wave turbulence perspective. A symmetric form of the two-layer kinetic equation for Rossby waves is derived using canonical variables, allowing the turbulent cascade of energy between the…

Fluid Dynamics · Physics 2015-06-17 Katie L Harper , Sergey V Nazarenko , Sergey B Medvedev , Colm Connaughton

We study systems of bosons and fermions in finite periodic boxes and show how the existence and properties of few-body resonances can be extracted from studying the volume dependence of the calculated energy spectra. Using a…

Nuclear Theory · Physics 2018-10-03 P. Klos , S. König , H. -W. Hammer , J. E. Lynn , A. Schwenk

We study the complex quantum dynamics of a system of many interacting atoms in an elongated anharmonic trap. The system is initially in a Bose-Einstein condensed state, well described by Thomas-Fermi profile in the elongated direction and…

The multi-wave exact resonance condition is a fundamental principle for understanding energy transfer in condensed matter systems, yet the dynamical evolution of waves satisfying this condition remains unexplored. Here, we reveal that the…

Statistical Mechanics · Physics 2025-07-09 Wei Lin , Yong Zhang , Hong Zhao

A summary is presented of the properties of the coefficient matrices formed by expanding the two-body reduced density matrix in a complete set of two-electron wave functions. Calculating the relationship between the many electron wave…

Quantum Physics · Physics 2022-03-02 Nicholas Cox

In this work we derive a systematic short-range expansion of the many-body wave function. At leading order, the wave function is factorized to a zero-energy $s$-wave correlated pair and spectator particles, while terms that include energy…

Nuclear Theory · Physics 2023-07-13 Ronen Weiss , Diego Lonardoni , Stefano Gandolfi

Charmless 3-body decays of $B$ mesons are studied using a simple model based on the framework of the factorization approach. We have identified a large source of the nonresonant signal in the matrix elements of scalar densities, e.g.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hai-Yang Cheng

We calculate the masses and residues of triply heavy baryons with spin-3/2, including $\Omega^*_{ccc}$, $\Omega^*_{ccb}$, $\Omega^*_{bbc}$ and $\Omega^*_{bbb}$, using the QCD sum rules method. Our calculations primarily focus on obtaining…

High Energy Physics - Phenomenology · Physics 2025-11-05 Z. Rajabi Najjar , K. Azizi

We propose to use the complex-range Gaussian basis functions, {r^l e^{-(1 \pm i\omega)(r/r_n)^2}Y_{lm}(\hat{r}); r_n in a geometric progression}, in the calculation of three-body resonances with the complex-scaling method (CSM) in which use…

Nuclear Theory · Physics 2013-05-14 Shin-Ichi Ohtsubo , Yoshihiro Fukushima , Masayasu Kamimura , Emiko Hiyama

A three dimensional attractive Bose-Einstein Condensate (BEC) is expected to collapse, when the number of the particles $N$ in the ground state or the interaction strength $\lambda_0$ exceeds a critical value. We study systems of different…

Quantum Gases · Physics 2010-09-28 Marios C. Tsatsos , Alexej I. Streltsov , Ofir E. Alon , Lorenz S. Cederbaum

We investigate the energy loss and equilibration of highly energetic particles/jets inside a QCD medium. Based on an effective kinetic description of QCD, including $2\leftrightarrow 2$ elastic processes, radiative $1\leftrightarrow 2$…

High Energy Physics - Phenomenology · Physics 2021-07-19 Soeren Schlichting , Ismail Soudi

We examine the energy distribution in a three-dimensional model granular system contained in an open cylinder under the influence of gravity. Energy is supplied to the system by a vibrating base. We introduce spatially resolved, partial…

Statistical Mechanics · Physics 2009-11-10 Peter E. Krouskop , Julian Talbot

We propose a strategy for searching for theoretically-unanticipated new physics which avoids a large trials factor by focusing on experimental strengths. Searches for resonances decaying into pairs of visible particles are experimentally…

High Energy Physics - Phenomenology · Physics 2016-11-01 Nathaniel Craig , Patrick Draper , Kyoungchul Kong , Yvonne Ng , Daniel Whiteson

In this paper, we study the three-body decays $B^0/B^0_s \to \eta_c f_0(X)\to \eta_c \pi^+\pi^-$ by employing the perturbative QCD (PQCD) factorization approach. We evaluate the $S$-wave resonance contributions by using the two-pion…

High Energy Physics - Phenomenology · Physics 2017-01-04 Ya Li , Ai-Jun Ma , Wen-Fei Wang , Zhen-Jun Xiao
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