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Factorization of Multiparticle Scattering in the Heisenberg Spin Chain  [PDF]
Anastasia Doikou,Luca Mezincescu,Rafael I. Nepomechie
Physics , 1997, DOI: 10.1142/S0217732397002727
Abstract: We give an explicit proof within the framework of the Bethe Ansatz/string hypothesis of the factorization of multiparticle scattering in the antiferromagnetic spin-1/2 Heisenberg spin chain, for the case of 3 particles.
Distillability, Bell inequalities and multiparticle bound entanglement  [PDF]
A. Acin
Physics , 2001, DOI: 10.1103/PhysRevLett.88.027901
Abstract: We study the relation between violation of Bell inequalities and distillability properties of quantum states. Recently, D\"ur has shown that there are some multiparticle bound entangled states, non-separable and non-distillable, that violate a Bell inequality. We prove that for all the states violating this inequality there exist at least one splitting of the parties into two groups such that some pure-state entanglement can be distilled, obtaining a connection between Bell inequalities and bipartite distillable entanglement.
Strong-Coupling Expansions for Multiparticle Excitations: Continuum and Bound States  [PDF]
S. Trebst,H. Monien,C. J. Hamer,Z. Weihong,R. R. P. Singh
Physics , 2000, DOI: 10.1103/PhysRevLett.85.4373
Abstract: We present a new linked cluster expansion for calculating properties of multiparticle excitation spectra to high orders. We use it to obtain the two-particle spectra for systems of coupled spin-half dimers. We find that even for weakly coupled dimers the spectrum is very rich, consisting of many bound states. The number of bound states depends on both geometry of coupling and frustration. Many of the bound states can only be seen by going to sufficiently high orders in the perturbation theory, showing the extended character of the pair-attraction.
Multiparticle production in small-x deep inelastic scattering and the nature of the Pomeron  [PDF]
A. Capella,A. Kaidalov,V. Neichitailo,J. Tran Thanh Van
Physics , 1997, DOI: 10.1103/PhysRevD.58.014002
Abstract: Properties of multiparticle final states produced in the central rapidity region of small-x deep inelastic scattering (DIS) are discussed. It is pointed out that these properties contain important information on the nature of the Pomeron - used for the description of total cross section and diffractive production in DIS. It is shown that models based on universality of the Pomeron predict charged particle multiplicities in small-x DIS which are in good agreement with recent HERA results.
O(4) symmetric singular solutions and multiparticle cross sections in $φ^4$ theory at tree level  [PDF]
F. L. Bezrukov,M. V. Libanov,S. V. Troitsky
Physics , 1995, DOI: 10.1142/S0217732395002283
Abstract: We solve the classical euclidean boundary value problem for tree-level multiparticle production in $\phi^4$ theory at arbitrary energies in the case of $O(4)$ symmetric field configurations. We reproduce known low-energy results and obtain a lower bound on the tree cross sections at arbitrary energies.
Complex scaling method for three- and four-body scattering above the break-up thresholds  [PDF]
Rimantas Lazauskas,Jaume Carbonell
Physics , 2012, DOI: 10.1007/s00601-012-0531-y
Abstract: A formalism based on the complex-scaling method is presented to solve the few particle scattering problem in configuration space using bound state techniques with trivial boundary conditions. Several applications to A=3,4 systems are presented to demonstrate the efficiency of the method in computing elastic as well as break-up reactions with Hamiltonians including both short and long-range interaction.
Generalized multiparticle Mie modeling of light scattering by cells
Meng Wang,Min Cao,ZhiRui Guo,Ning Gu
Chinese Science Bulletin , 2013, DOI: 10.1007/s11434-013-5719-0
Abstract: The development of nanobiology requires a fundamental understanding of the interaction features between light and cells as well as cells containing nanoparticles. In this study, the generalized multiparticleMie (GMM) theory was employed to calculate the scattering properties of cells under refractive index matching conditions. The angular distribution of scattered light is statistically averaged to obtain a good fit for the experimental results. Based on a simplified cell model, the variabilities between the scattered light pattern of normal cells and that of cancerous cells were examined. The results indicate that the small angle scattering is sensitive to the organelle distribution, which could be applied in the diagnostics of cancerous cells. Finally, the effects of cellular uptake of nanoparticles on the scattering pattern was also investigated.
A Branch and Bound Approach to Solve the Preemptive Resource Leveling Problem  [PDF]
Behrouz Afshar-Nadjafi,Zeinab Khalaj,Esmaeil Mehdizadeh
International Journal of Manufacturing Engineering , 2013, DOI: 10.1155/2013/930920
Abstract: We study resource constrained project scheduling problem with respect to resource leveling as objective function and allowance of preemption in activities. The branch and bound algorithms proposed in previous researches on resource leveling problem do not consider preemption. So, representing a model for the problem, a branch and bound algorithm is proposed. This algorithm can handle preemption in resource leveling problem. Comparing the resource leveling problem and the preemptive resource leveling problem, it is observed that considering preemption in the problem leads to better results in the objective function. This improvement imposes additional time to solve the problem. Coding the algorithm in MATLAB and checking it on the projects with 8 and 10 activities, results show that the proposed algorithm is efficient. 1. Introduction Increasing international competition enforces utilization of very expensive resources (e.g., heavy machines) by most of the companies. Thus, resource constrained project scheduling problem (RCPSP) has attracted more attention. Several objective functions are studied in RCPSP. Resource leveling is one of them, in which the variation of resource utilization is to be minimized. In addition to resource constraints, minimum and maximum time lags between different activities have to be observed in general. Several studies have been done for RCPSP. The first mathematical formulation of the RCPSP was given by Pritsker et al. [1]. Then, Kaplan [2], Olaguíbel and Goerlich [3], and Klein and Scholl [4] continued their job. In addition, Blazewicz et al. proved that RCPSP is NP-hard [5]. Kastor and Sirakoulis analyzed the effectiveness of three resource leveling problem tools on RCPSP: Primavera p6.0, Microsoft Project 2007, and Open Workbench 1.1.6 [6]. For resource leveling problems with minimum time lags, several exact and heuristic solution procedures have been studied. Exact algorithms contain enumeration, integer programming, or dynamic programming techniques. Tavares represented the effectiveness of resource leveling problem in costs [7]. Ahuja [8], Easa [9], Bandelloni et al. [10], Demeulemeester [11], and Younis and Saad [12] presented exact procedures for resource leveling problem. Nübel developed a branch and bound procedure (BB) upon minimal delaying alternative and disjunction precedence constraints [13]. Demeulemeester and Herroelen proposed a model for project scheduling problem with resource constraints and preemption and a model for resource leveling problem and solved it with some methods, such as BB [14]. Gather et
Energy evolution of the large-t elastic scattering and its correlation with multiparticle production
Troshin, S. M.
High Energy Physics - Phenomenology , 2013,
Abstract: It is emphasized that the collective dynamics associated with color confinement is dominating over a point-like mechanism related to a scattering of the proton constituents at the currently available values of the momentum transferred in proton elastic scattering at the LHC. Deep--elastic scattering and its role in the dissimilation of the absorptive and reflective asymptotic scattering mechanisms are discussed with emphasis on the experimental signatures associated with the multiparticle production processes.
Energy evolution of the large-t elastic scattering and its correlation with multiparticle production  [PDF]
S. M. Troshin
Physics , 2013, DOI: 10.1063/1.4802136
Abstract: It is emphasized that the collective dynamics associated with color confinement is dominating over a point-like mechanism related to a scattering of the proton constituents at the currently available values of the momentum transferred in proton elastic scattering at the LHC. Deep--elastic scattering and its role in the dissimilation of the absorptive and reflective asymptotic scattering mechanisms are discussed with emphasis on the experimental signatures associated with the multiparticle production processes.
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