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The method of zero-range potentials is generalized to account for the molecular electron excitation process. It is made by a matrix formulation in which a state vector components are associated with a scattering channel. The multi-center…

Quantum Physics · Physics 2009-11-07 S. Leble , S. Yalunin

We show the system of a heavy charged particle and a neutral atom can be described by a low-energy effective field theory where the attractive $1/r^4$ induced dipole potential determines the long-distance/low-energy wave functions. The…

Nuclear Theory · Physics 2023-07-26 Daniel Odell , Daniel R. Phillips , Ubirajara van Kolck

We investigate the nonlocal structure of optical model potentials for nucleon-nucleus scattering based on microscopic approaches. To this purpose, \emph{in-medium} folding optical potentials are calculated in momentum space and their…

Nuclear Theory · Physics 2018-12-05 H. F. Arellano , G. Blanchon

The averaged effective two-body interaction (\textit{AEI}) which can be generated through the lowest order constrained variational (\textit{LOCV}) method for symmetric nuclear matter (\textit{SNM}) with the input \textit{Reid}68…

Nuclear Theory · Physics 2019-01-29 M. Rahmat , M. Modarres

Perturbative expansions, the Born series, of the scattering length and the amplitude of $S$-wave neutron-deuteron scattering for spin quartet channel below deuteron breakup threshold are studied in pionless effective field theory at small…

Nuclear Theory · Physics 2014-03-25 Shung-Ichi Ando

In this paper, we have made a comparative study of alpha-alpha scattering using different phenomenological models like Morse, double Gaussian, double Hulthen, Malfliet-Tjon and double exponential for the nuclear interaction and atomic…

Nuclear Theory · Physics 2023-07-26 Ayushi Awasthi , O. S. K. S. Sastri

A recent experiment on s-wave neutron scattering from $^{192,194,196}$Pt found that the reduced neutron width distributions deviate significantly from the expected Porter-Thomas distribution (PTD), and several explanations have been…

Nuclear Theory · Physics 2018-07-11 P. Fanto , G. F. Bertsch , Y. Alhassid

Based on the time-dependent density-functional theory, we have derived a rigorous formula for the stopping power of an {\it interacting} electron gas for ions in the limit of low projectile velocities. If dynamical correlation between…

Materials Science · Physics 2009-11-11 V. U. Nazarov , J. M. Pitarke , C. S. Kim , Y. Takada

We consider the inverse scattering problem at fixed and sufficiently large energy for the nonrelativistic and relativistic Newton equation in $\R^n$, $n \ge 2$, with a smooth and short range electromagnetic field $(V,B)$. Using results of…

Mathematical Physics · Physics 2012-10-25 Alexandre Jollivet

We calculate numerically the exact energy spectrum of the six dimensional problem of two interacting Bosons in a three-well optical lattice. The particles interact via a full Born-Oppenheimer potential which can be adapted to model the…

Quantum Physics · Physics 2010-12-16 Philipp-Immanuel Schneider , Sergey Grishkevich , Alejandro Saenz

Compact algebraic equations are derived, which connect the binding energy and the asymptotic normalization constant (ANC) of a subthreshold bound state with the effective-range expansion of the corresponding partial wave. These relations…

Nuclear Theory · Physics 2010-04-06 Jean-Marc Sparenberg , Pierre Capel , Daniel Baye

We provide a theoretical framework to describe the interaction of a propagating guided matter wave with a localized potential in terms of quantum scattering in a confined environment. We analyze how this scattering correlates the…

Other Condensed Matter · Physics 2010-09-10 Giovanni Luca Gattobigio , Antoine Couvert , Bertrand Georgeot , David Guéry-Odelin

The Feshbach resonance provides precise control over the scattering length and effective range of interactions between ultracold atoms. We propose the ultratransferable pseudopotential to model effective interaction ranges $-1.5 \leq…

Quantum Gases · Physics 2017-08-31 L. M. Schonenberg , P. C. Verpoort , G. J. Conduit

We study the effect of s-wave cross-sections in $^{4}$He+$n$ and $^{9}$Li+$n$ elastic scattering reactions by using the Jost function method (JFM). In $^{5}$He ($^{4}$He+$n$), the s-wave pole of the $S$-matrix does not contribute so much to…

Nuclear Theory · Physics 2007-05-23 Hiroshi Masui , Shigeyoshi Aoyama , Kiyoshi Katō , Kiyomi Ikeda

A model for low-energy meson-baryon interaction in the strange sector is presented. The interaction is described in terms of separable potentials with multiple partial waves considered. A general solution of Lippmann-Schwinger equation for…

Nuclear Theory · Physics 2012-08-24 Vojtěch Krejčiřík

Faddeev calculations of low-energy $\Lambda$-deuteron elastic scattering are performed up to $E_{cm}=20$ MeV across the deuteron threshold. Phase shifts of the $s$-wave with $J=1/2$ and $J=3/2$ are calculated using strangeness $S=-1$…

Nuclear Theory · Physics 2024-10-22 M. Kohno , H. Kamada

The notion of interacting elementary particles for low and medium energy nuclear physics is associated with definitions of potential operators. In principle, this potential carries the rich substructure consisting of quarks and gluons and…

Nuclear Theory · Physics 2009-10-30 L. Jaede , M. Sander , H. V. von Geramb

The sensitivity of nucleon-nucleus elastic scattering to the off-shell behavior of realistic nucleon-nucleon interactions is investigated when on-shell equivalent nucleon-nucleon potentials are used. The study is based on applications of…

Nuclear Theory · Physics 2008-11-26 H. F. Arellano , F. A. Brieva , M. Sander , H. V. von Geramb

We investigate the low-energy scattering properties of two identical particles interacting via the polarized quadrupolar interaction. It is shown that a series of $s$- and $p$-wave resonances appear for identical bosons and fermions,…

Quantum Gases · Physics 2023-02-22 Fulin Deng , Wenxian Zhang , Su Yi

Non-relativistic quantum particles bounded to a curve in R^2 by attractive contact $\delta$-interaction are considered. The interval between the energy of the transversal bound state and zero is shown to belong to the absolutely continuous…

Mathematical Physics · Physics 2020-08-13 J. Dittrich
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