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We present results of a lattice study of the $S$-wave and $P$-wave $DD^*$ scattering phase shifts using L\"uscher's method under the twisted boundary conditions to investigate the doubly charmed tetraquark $T_{cc}^+$ observed by the LHCb…

High Energy Physics - Lattice · Physics 2024-11-12 Masato Nagatsuka , Shoichi Sasaki

In scattering theory, the Wigner-Smith time delay, calculated through a phaseshift derivative or its multichannel generalization, has been demonstrated to measure the amount of delay or advance experienced by colliding particles during…

Atomic Physics · Physics 2025-11-25 Karim I. Elghazawy , Chris H. Greene

This report summarizes recent calculations of low-energy hadron-hadron scattering amplitudes in the nonrelativistic quark potential model, which assume that the scattering mechanism is a single interaction (usually OGE) followed by…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Barnes

Resonant-exchange scattering plays a key role in many-body dynamics and transport phenomena (such as spin, charge, or excitation diffusion) at low and moderate temperatures. Recent investigations have shown that the locking of phase shifts…

Quantum Physics · Physics 2025-08-14 I. Simbotin , R. Côté

Recently developed time-independent bound-state perturbation theory is extended to treat the scattering domain. The changes in the partial wave phase shifts are derived explicitly and the results are compared with those of other methods.

Nuclear Theory · Physics 2009-11-11 B. Gonul , M. Kocak

In this study, we investigate atom--dimer scattering within the framework of the hyperspherical method. The coupled channel Schr\"odinger equation is solved using the R-matrix propagation technique combined with the smooth variable…

Atomic Physics · Physics 2022-10-19 Cai-Yun Zhao , Yi Zhang , Hui-Li Han , Ting-Yun Shi

A proposal by L\"uscher enables one to compute the scattering phases of elastic two-body systems from the energy levels of the lattice Hamiltonian in a finite volume. In this work we generalize the formalism to S--, P-- and D--wave meson…

High Energy Physics - Lattice · Physics 2013-05-30 M. Göckeler , R. Horsley , M. Lage , U. -G. Meissner , P. E. L. Rakow , A. Rusetsky , G. Schierholz , J. M. Zanotti

The scattering of a fermion in the background of a smooth step potential is considered with a general mixing of vector and scalar Lorentz structures with the scalar coupling stronger than or equal to the vector coupling. Charge-conjugation…

High Energy Physics - Theory · Physics 2015-06-19 W. M. Castilho , A. S. de Castro

Using the method of complex scaling we show that scattering resonances of $ - \Delta + V $, $ V \in L^\infty_{\rm{c}} ( \mathbb R^n ) $, are limits of eigenvalues of $ - \Delta + V - i \epsilon x^2 $ as $ \epsilon \to 0+ $. That justifies a…

Mathematical Physics · Physics 2015-05-05 Maciej Zworski

We investigate the relativistic scattering of three identical scalar bosons interacting via pair-wise interactions. Extending techniques from the non-relativistic three-body scattering theory, we provide a detailed and general prescription…

Nuclear Theory · Physics 2023-03-09 Sebastian M. Dawid , Md Habib E Islam , Raúl A. Briceño

A description of the NN scattering is constructed starting from the $\pi, \eta, \eta'$ pseudoscalar-, the $\rho, \phi, \omega$ vector-, and the $\varepsilon(600), a_0, f_0(1400)$ scalar - meson-nucleon coupling constants, which we obtain…

High Energy Physics - Phenomenology · Physics 2015-06-25 R. Antalik , V. E. Lyubovitskij

The phase behavior of rodlike molecules with polydisperse length and solvent-mediated attraction and repulsion is described by an extension of the Onsager theory for rigid rods. A phenomenological square-well potential is used to model…

Soft Condensed Matter · Physics 2015-05-13 Micah J. Green , A. Nicholas G. Parra-Vasquez , Natnael Behabtu , Matteo Pasquali

We present the results of energy-dependent and single-energy partial-wave analyses of pi-N elastic scattering data with laboratory kinetic energies below 2.1 GeV. We have considered the effect of adding dispersion-relation constraints…

Nuclear Theory · Physics 2007-05-23 R. A. Arndt , I. I. Strakovsky , R. L. Workman , M. M. Pavan

The wavefunction for indistinguishable fermions is anti-symmetric under particle exchange, which directly leads to the Pauli exclusion principle, and hence underlies the structure of atoms and the properties of almost all materials. In the…

For calculation of the single-channel nucleon-nucleon scattering a phase-functions method has been proposed. Using a phase-functions method the following phase shifts of np- scattering numerically for 1S0-, 1P1-, 3P0-, 3P1-, 1D2-, 3D2-,…

Nuclear Theory · Physics 2017-06-26 V. I. Zhaba

We propose a novel experimental method to extend the investigation of ion-atom collisions from the so far studied cold, essentially classical regime to the ultracold, quantum regime. Key aspect of this method is the use of Rydberg molecules…

Atomic Physics · Physics 2018-04-18 T. Schmid , C. Veit , N. Zuber , R. Löw , T. Pfau , M. Tarana , M. Tomza

We employ the chiral nucleon-nucleon potential derived using the method of unitary transformation up to next-to-next-to-leading order (NNLO) to study bound and scattering states in the two-nucleon system. The predicted partial wave phase…

Nuclear Theory · Physics 2009-11-06 E. Epelbaum , H. Kamada , A. Nogga , H. Witala , W. Gloeckle , Ulf-G. Meissner

The optical model potentials for nucleon-nucleus elastic scattering at $65$~MeV are calculated for $^{12}$C, $^{16}$O, $^{28}$Si, $^{40}$Ca, $^{56}$Fe, $^{90}$Zr and $^{208}$Pb in first order multiple scattering theory, following the…

Nuclear Theory · Physics 2009-09-25 C. R. Chinn , Ch. Elster , R. M. Thaler , S. P. Weppner

In this paper we review the results of the author on the theory of scalar and vector wave scattering by small bodies of an arbitrary shape with the emphasis on practical applicability of the formulas obtained and on the mathematical rigor…

Mathematical Physics · Physics 2007-05-23 A. G. Ramm

We present predictions for the the K^- \alpha scattering length obtained within the framework of the multiple scattering approach. Evaluating the pole position of the K^- \alpha scattering amplitude within the zero range approximation, we…

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