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A numerical method for solving the equations modeling acoustic scattering is presented. The method is capable of handling several dozen scatterers, each of which is several wave-lengths long, on a personal work station. Even for geometries…

Numerical Analysis · Mathematics 2014-06-03 Sijia Hao , Per-Gunnar Martinsson , Patrick Young

The hypernucleus $\nuclide[6][\Lambda\Lambda]{He}$ is studied as a three-body ($\Lambda\Lambda\alpha$) cluster system in cluster effective field theory at leading order. We find that the three-body contact interaction exhibits the limit…

Nuclear Theory · Physics 2014-09-24 Shung-Ichi Ando , Yongseok Oh

In this paper a mathematical model is given for the scattering of an incident wave from a surface covered with microscopic small Helmholtz resonators, which are cavities with small openings. More precisely, the surface is built upon a…

Numerical Analysis · Mathematics 2020-02-03 Habib Ammari , Kthim Imeri

We describe full-coupled-channel ab initio calculations among the octet baryons for S=-2 s-shell hypernuclei,_{LambdaLambda}^4H,_{LambdaLambda}^5H and_{LambdaLambda}^6He. The wave function includes Lambda Lambda, Lambda Sigma, N Xi, and…

Nuclear Theory · Physics 2008-11-26 H. Nemura , S. Shinmura , Y. Akaishi , Khin Swe Myint

Using a combination of multipole methods and the method of matched asymptotics, we present a solution procedure for acoustic plane wave scattering by a single Helmholtz resonator in two dimensions. Closed-form representations for the…

Fluid Dynamics · Physics 2022-04-07 M. J. A. Smith , P. A. Cotterill , D. Nigro , W. J. Parnell , I. D. Abrahams

We present a unitary multichannel model for $\bar{K}N$ scattering in the resonance region that fulfills unitarity. It has the correct analytical properties for the amplitudes once they are extended to the complex-$s$ plane and the partial…

High Energy Physics - Phenomenology · Physics 2016-02-24 C. Fernandez-Ramirez , I. V. Danilkin , D. M. Manley , V. Mathieu , A. P. Szczepaniak

The SS-HORSE approach to analysis of resonant states is generalized to the case of charged particle scattering utilizing analytical properties of partial scattering amplitudes and applied to the study of resonant states in the $^{5}$Li…

Nuclear Theory · Physics 2018-11-07 A. M. Shirokov , A. I. Mazur , I. A. Mazur , E. A. Mazur , I. J. Shin , Y. Kim , L. D. Blokhintsev , J. P. Vary

A linked cluster expansion for the calculation of ground state observables of nuclei with realistic interactions has been developed. Using the V8' potential the ground state energy, density and momentum distribution of complex nuclei have…

Nuclear Theory · Physics 2009-11-11 M. Alvioli , C. Ciofi degli Atti , H. Morita

The existence of a higher nodal band state with a $^{3}$He cluster structure, i.e. a vibrational mode in which the inter-cluster relative motion is excited, in $^{19}$Ne in addition to those with the $\alpha$ cluster structure in $^{20}$Ne…

Nuclear Theory · Physics 2011-02-14 S. Ohkubo , Y. Hirabayashi

A technique for describing scattering states within the nuclear shell model is proposed. This technique is applied to scattering of nucleons by $\alpha$ particles based on ab initio No-Core Shell Model calculations of $^5$He and $^5$Li…

Nuclear Theory · Physics 2016-04-19 I. A. Mazur , A. M. Shirokov , A. I. Mazur , J. P. Vary

We present a lattice method for determining scattering phase shifts and mixing angles for the case of an arbitrary number of coupled channels. Previous nuclear lattice effective field theory simulations were restricted to mixing of up to…

Nuclear Theory · Physics 2019-12-12 Lukas Bovermann , Evgeny Epelbaum , Hermann Krebs , Dean Lee

The multi-layer $S={1\over 2}$ square lattice Heisenberg antiferromagnet with up to 6 layers is studied via various series expansions. For the systems with an odd number of coupled planes, the ground-state energy, staggered magnetization,…

Strongly Correlated Electrons · Physics 2009-10-31 Zheng Weihong

We investigate excited states of $^{18}$O by using the antisymmetrized molecular dynamics. It is found that five different types of cluster states exist which we call ${}^{14}{\rm C}+\alpha$, higher-nodal ${}^{14}{\rm C}+\alpha$, two…

Nuclear Theory · Physics 2020-01-29 Tomoyuki Baba , Masaaki Kimura

Higgs Effective Field Theory can be used to study vector-boson elastic scattering at the high energies relevant for the LHC. For most of the parameter space, the scattering is strongly interacting, with the minimal Standard Model being a…

High Energy Physics - Phenomenology · Physics 2018-08-15 Rafael L. Delgado , Antonio Dobado , Felipe J. Llanes-Estrada

The \eta-meson collision with light nuclei, ^2H, ^3H, ^3He, and ^4He, is considered on the basis of a microscopic approach which utilises Faddeev type and Lippmann-Schwinger equations. The nuclear hamiltonian is approximated by the finite…

Nuclear Theory · Physics 2007-05-23 S. A. Sofianos , S. A. Rakityansky , M. Braun

Despite the quantum nature of the process, collective scattering by dense cold samples of two-level atoms can be interpreted classically describing the sample as a macroscopic object with a complex refractive index. We demonstrate that…

A new method is introduced to study three-body clusters. Triangular configurations with ${\cal D}_{3h}$ point-group symmetry are analyzed. The spectrum, transition form factors and $B(E\lambda)$ values of $^{12}$C are investigated. It is…

Nuclear Theory · Physics 2009-11-07 R. Bijker , F. Iachello

We propose a fully quantum-mechanical method of treating four-body nuclear breakup processes in scattering of a projectile consisting of three constituents, by extending the continuum-discretized coupled-channels method. The three-body…

Nuclear Theory · Physics 2016-09-08 T. Matsumoto , E. Hiyama , K. Ogata , Y. Iseri , M. Kamimura , S. Chiba , M. Yahiro

We examine a simple Composite Higgs Model (CHM) with vector resonances in addition to the Standard Model (SM) fields in perturbation theory by using the $K$-matrix method to implement unitarity constraints. We find that the $W_LW_L$…

High Energy Physics - Phenomenology · Physics 2015-05-27 D. Barducci , H. Cai , S. De Curtis , F. J. Llanes-Estrada , S. Moretti

We study the low-energy 3/2- and 1/2- states of He-5 and Li-5 in a microscopic cluster model. The scattering phase shifts of Bond (alpha+n) and of Schwandt (alpha+p), respectively, are reproduced well. We determine the resonance parameters…

Nuclear Theory · Physics 2008-11-26 Attila Csoto , G. M. Hale