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Conditions are established for the existence of a scattering length and an effective range in the low-energy expansion of the S-wave phase-shift of a central potential in two and three dimensions. The behavior of the phase-shift as a…

Mathematical Physics · Physics 2009-09-15 N. N. Khuri , Andre Martin , Jean-Marc Richard , Tai Tsun Wu

The nonperturbative kinetic framework for the stopping power of a charged-particle system for swift point projectiles is implemented. The pair-interaction potential energy required in this framework to two-body elastic scattering is based…

Quantum Gases · Physics 2021-12-13 I. Nagy , I. Aldazabal

We apply a particular form of the inverse scattering theory to turbulent magnetic fluctuations in a plasma. In the present note we develop the theory, formulate the magnetic fluctuation problem in terms of its electrodynamic turbulent…

Space Physics · Physics 2016-08-30 R. A. Treumann , W. Baumjohann , Y. Narita

We study the s-wave I=2 \pi \Sigma and I=1 KN interactions from 2+1 flavor full lattice QCD simulation for relatively heavy quark mass corresponding to m_{\pi}=700 MeV. The s-wave meson-baryon potentials are obtained from the…

High Energy Physics - Lattice · Physics 2012-08-27 Yoichi Ikeda for HAL QCD Collaboration

The theory of inverse scattering is developed to study the initial-value problem for the modified matrix Korteweg-de Vries (mmKdV) equation with the $2m\times2m$ $(m\geq 1)$ Lax pairs under the nonzero boundary conditions at infinity. In…

Exactly Solvable and Integrable Systems · Physics 2020-05-04 Jin-Jie Yang , Shou-Fu Tian , Zhi-Qiang Li

A multi-channel algebraic scattering theory, to find solutions of coupled-channel scattering problems with interactions determined by collective models, has been structured to ensure that the Pauli principle is not violated. Positive…

Nuclear Theory · Physics 2009-11-11 K. Amos , P. Fraser , S. Karataglidis , D. van der Knijff , J. P Svenne , L. Canton , G. Pisent

We introduce a discrete analogue of the scattering theory for the Zakharov-Shabat (ZS) system, and use it to continue the work of C.L. Epstein by deriving an efficient, recursive algorithm for generating RF-pulses for nuclear magnetic…

Numerical Analysis · Mathematics 2009-03-26 Jeremy F. Magland

Neutrino-electron scattering is a purely leptonic fundamental interaction and therefore provides an important channel to test the Standard Model, especially at the low energy-momentum transfer regime. We derived constraints on neutrino…

High Energy Physics - Experiment · Physics 2017-03-08 M. Deniz , B. Sevda , S. Kerman , A. Ajjaq , L. Singh , H. T. Wong , M. Zeyrek

Cross sections from low-energy neutron-nucleus scattering have been evaluated using a coupled channel theory of scattering. Both a coordinate-space and a momentum-space formalism of that coupled-channel theory are considered.A simple…

Nuclear Theory · Physics 2009-11-11 K. Amos , S. Karataglidis , D. van der Knijff , L. Canton , G. Pisent , J. P. Svenne

The inverse scattering problem of the reconstruction of the unknown potential with compact support in the 3-d Schr\"odinger equation is considered. Only the modulus of the scattering complex valued wave field is known, whereas the phase is…

Mathematical Physics · Physics 2014-12-30 Michael V. Klibanov , Vladimir G. Romanov

The quantum-mechanical D-dimensional inverse square potential is analyzed using field-theoretic renormalization techniques. A solution is presented for both the bound-state and scattering sectors of the theory using cutoff and dimensional…

High Energy Physics - Theory · Physics 2007-05-23 Horacio E. Camblong , Luis N. Epele , Huner Fanchiotti , Carlos A. Garcia Canal

We investigate the two-particle intensity correlation function of $\Lambda$ in relativistic heavy-ion collisions. We find that the behavior of the $\Lambda\Lambda$ correlation function at small relative momenta is fairly sensitive to the…

Nuclear Theory · Physics 2015-03-05 Kenji Morita , Takenori Furumoto , Akira Ohnishi

We fit the $^1 S_0 \Lambda\Lambda$ interaction in the nuclear medium to the masses of the experimentally known double-$\Lambda$ hypernuclei: $^{\phantom{6}6}_{\Lambda\Lambda}$He, $^{10}_{\Lambda\Lambda}$Be and $^{13}_{\Lambda\Lambda}$B. We…

Nuclear Theory · Physics 2009-09-25 J. Caro , C. Garcia-Recio , J. Nieves

A minimally constructed $\Lambda$-nucleus density-dependent optical potential is used to calculate binding energies of observed $1s_{\Lambda}$, $1p_{\Lambda}$ states across the periodic table, leading to a repulsive $\Lambda NN$…

Nuclear Theory · Physics 2023-01-11 Eliahu Friedman , Avraham Gal

A mean-field potential version of the Ultra-relativistic Quantum Molecular Dynamics (UrQMD) model is used to investigate the production of strange baryons, especially the $\Lambda$s and $\overline{\Lambda}$s, from heavy ion collisions at…

Nuclear Theory · Physics 2015-05-20 Qingfeng Li , Zhuxia Li

Based on a baryon-baryon interaction model with meson exchanges, we investigate the origin of the strong attraction in the $N \Omega ( {}^{5}S_{2} )$ interaction, which was indicated by recent lattice QCD simulations. The long range part of…

High Energy Physics - Phenomenology · Physics 2018-07-25 Takayasu Sekihara , Yuki Kamiya , Tetsuo Hyodo

Low energy theorems are derived for the coefficients of the effective range expansion in s-wave nucleon-nucleon scattering valid to leading order in an expansion in which both $m_\pi$ and $1/a$ (where $a$ is the scattering length) are…

Nuclear Theory · Physics 2008-11-26 Thomas D. Cohen , James M. Hansen

We study baryon-baryon scattering by applying time-ordered perturbation theory to the manifestly Lorentz-invariant formulation of SU(3) baryon chiral perturbation theory. We derive the corresponding diagrammatic rules paying special…

Nuclear Theory · Physics 2019-10-23 V. Baru , E. Epelbaum , J. Gegelia , X. -L. Ren

We perform a systematic study on the surface property of nucleus-nucleus potential in heavy-ion reactions using large-angle quasielastic scattering at energies well below the Coulomb barrier. At these energies, the quasielastic scattering…

Nuclear Theory · Physics 2009-11-11 K. Washiyama , K. Hagino , M. Dasgupta

We present a multichannel model for elastic interactions, comprised of an arbitrary number of coupled finite square-well potentials, and derive semi-analytic solutions for its scattering behavior. Despite the model's simplicity, it is…

Atomic Physics · Physics 2018-12-11 Nirav P. Mehta , Kaden R. A. Hazzard , Christopher Ticknor
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