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We propose an alternative approach to L\"uscher's formula for extracting two-body scattering phase shifts from finite volume spectra with no reliance on the partial wave expansion. We use an effective-field-theory-based Hamiltonian method…

High Energy Physics - Lattice · Physics 2021-10-14 Lu Meng , E. Epelbaum

Nonperturbative polaron variational methods are applied, within the so-called particle or worldline representation of relativistic field theory, to study scattering in the context of the scalar Wick - Cutkosky model. Important features of…

Nuclear Theory · Physics 2009-10-30 C. Alexandrou , R. Rosenfelder , A. W. Schreiber

We extend the variational cluster approach to deal with strongly correlated lattice bosons in the superfluid phase. To this end, we reformulate the approach within a pseudoparticle formalism, whereby cluster excitations are described by…

Quantum Gases · Physics 2011-04-11 Michael Knap , Enrico Arrigoni , Wolfgang von der Linden

We discuss how to connect the energy levels of two-particle systems trapped by a harmonic-oscillator force to scattering amplitudes, with nucleon-nucleon scattering phase shifts in uncoupled channels as the application. At the center of the…

Nuclear Theory · Physics 2021-10-13 Chenbo Li , Jiexin Yu , Rui Peng , Songlin Lyu , Bingwei Long

We investigate the low-energy $^9$Be elastic scattering on two different targets (heavy, light) within a four-body framework using the Continuum-Discretized Coupled-Channels (CDCC) method. The $^9$Be projectile is described in a $\alpha +…

Nuclear Theory · Physics 2016-04-26 J. Casal , M. Rodríguez-Gallardo , J. M. Arias

We derive expressions for core + N + N overlap integrals starting from microscopic wave functions obtained in the ab initio no-core shell model. These overlap integrals correspond to three-body channel form factors and can be used to…

Nuclear Theory · Physics 2014-01-15 Daniel Sääf , Christian Forssén

Simple models for spherical particles with a soft shell have been shown to self-assemble into numerous crystal phases and even quasicrystals. However, most of these models rely on a simple pairwise interaction, which is usually a valid…

Soft Condensed Matter · Physics 2020-09-03 Emanuele Boattini , Nina Bezem , Sudeep N. Punnathanam , Frank Smallenburg , Laura Filion

Using many-body perturbation theory and coupled-cluster theory, we calculate the ground-state energy of He-4 and O-16. We perform these calculations using a no-core G-matrix interaction derived from a realistic nucleon-nucleon potential.…

Nuclear Theory · Physics 2009-11-10 D. J. Dean , M. Hjorth-Jensen

The fully retarded dispersion interaction between an atom and a cluster or between two clusters is calculated. Results obtained with two different methods are compared. One is to consider a cluster as a collection of many atoms and evaluate…

Atomic and Molecular Clusters · Physics 2009-11-11 Hye-Young Kim , Jorge O. Sofo , Darrell Velegol , Milton W. Cole

We describe the implementation of a model for charged-current quasi-elastic (CCQE) neutrino-nucleus scattering in the NEUT Monte Carlo event generator. This model employs relativistic momentum distributions obtained from mean field theory…

High Energy Physics - Experiment · Physics 2025-09-25 J. McKean , R. González-Jiménez , M. Kabirnezhad , J. M. Udías , Y. Uchida

The unstable nucleus $^8$Be, with its two $\alpha$-cluster configuration, is the doorway to the formation of heavier $\alpha$-cluster nuclei. Most importantly, its the precursor of the production of $^{12}$C through the Hoyle state, a…

Nuclear Theory · Physics 2022-10-12 Suprita Chakraborty , Rajkumar Santra , Subinit Roy , V. M. Datar

Neutron-deuteron scattering in the context of ``pion-less'' Effective Field Theory at very low energies is investigated to next-to-next-to-leading order. Convergence is improved by fitting the two-nucleon contact interactions to the tail of…

Nuclear Theory · Physics 2009-11-10 Harald W. Griesshammer

Variational wave functions based on a Margenau-Brink cluster model with short range and state dependent correlations, and angular momentum projection are obtained for some nuclei with $12 \leq A \leq 16$. The calculations have been carried…

Nuclear Theory · Physics 2009-11-10 E. Buendia , F. J. Galvez , A. Sarsa

The Born approximation to the quark-gluon-exchange mechanism for K$^+$N scattering is used as a starting point to generate a potential for this system. The valence quark wave function of the nucleon is generalized from a single Gaussian to…

Nuclear Theory · Physics 2008-05-20 W. R. Gibbs , R. Arceo

We extend our previous study of elastic pion-nucleon scattering in the framework of chiral perturbation theory by performing a combined analysis of the reactions $\pi N \to \pi N$ and $\pi N \to \pi \pi N$. The calculation is carried out to…

Nuclear Theory · Physics 2020-03-05 D. Siemens , V. Bernard , E. Epelbaum , A. M. Gasparyan , H. Krebs , Ulf-G. Meißner

Ab initio nuclear physics tackles the problem of strongly interacting four-component fermions. The same setting could foreseeably be probed experimentally in ultracold atomic systems, where two- and three-component experiments have led to…

Quantum Gases · Physics 2020-04-16 William G. Dawkins , J. Carlson , U. van Kolck , Alexandros Gezerlis

We present a scattering theory description for the inelastic current noise in the presence of electron-vibration interactions. In this description, we specify elastic and inelastic scattering contributions to the shot noise by examining…

Mesoscale and Nanoscale Physics · Physics 2017-09-15 Sejoong Kim

We analyze the elastic scattering of particles interacting with nuclei through vector and axial currents with overall couplings of the order of the Standard Model weak interaction, or smaller; the dominant contribution to the elastic cross…

High Energy Physics - Phenomenology · Physics 2016-03-21 O. Moreno , T. W. Donnelly

In view of the recent theoretical developments in the fixed center approximation for the scattering of a particle with a a two-body cluster, implementing elastic unitarity on the standard fixed center formalism, and the imminent…

High Energy Physics - Phenomenology · Physics 2026-05-29 Pablo Encarnación , Albert Feijoo , Eulogio Oset

We employ two models of the nucleon-nucleon force: the OPE-Gaussian as well as the chiral N4LO and N4LO+ interactions with semilocal regularization in momentum space to study correlations among two-nucleon and three-nucleon elastic…

Nuclear Theory · Physics 2022-09-21 Yu. Volkotrub , R. Skibiński , J. Golak , H. Witała
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