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Related papers: $S$-matrix poles near the $\Lambda N$ and $\Sigma …

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We investigate the analytic structure of the magnon S-matrix in the spin-chain description of planar ${\cal N}=4$ SUSY Yang-Mills/$AdS_{5}\times S^{5}$ strings. Semiclassical analysis suggests that the exact S-matrix must have a large…

High Energy Physics - Theory · Physics 2008-11-26 Nick Dorey , Diego M. Hofman , Juan Maldacena

Since 2003, plenty of resonant structures have been observed in the heavy quarkonium regime. Many of them are close to the thresholds of a few pairs of heavy hadrons. They are candidates of exotic hadrons and have attracted immense…

High Energy Physics - Phenomenology · Physics 2025-03-13 Zhen-Hua Zhang , Feng-Kun Guo

The poles of the quantum scattering matrix (S-matrix) in the complex momentum plane have been studied extensively. Bound states give rise to S-matrix poles, and other poles correspond to non-normalizable anti-bound, resonance and…

Quantum Physics · Physics 2015-05-30 B. Belchev , S. G. Neale , M. A. Walton

Starting from a recently-proposed general formula, various properties of the ADE series of purely elastic S-matrices are rederived in a universal way. In particular, the relationship between the pole structure and the bootstrap equations is…

High Energy Physics - Theory · Physics 2010-11-01 Patrick Dorey

We analyze the complex analytic properties of Classical (tree-level) S-matrices for four scalar particles with s-t crossing symmetry, involving an infinite number of exchanges. Under suitable analytic conditions, we demonstrate that such…

High Energy Physics - Theory · Physics 2025-02-26 Abhijit Gadde , Shraiyance Jain

We investigate low-energy $N\phi$ scattering driven by a pole-enhanced triangle-like diagram, in which the two-Kaon-exchange contribution is promoted by the near-threshold $\Lambda(1405)$ pole in the $N\bar K$ subsystem. Using an unphysical…

High Energy Physics - Phenomenology · Physics 2026-03-09 Mao-Jun Yan , Chun-Sheng An , Cheng-Rong Deng

Motivated by the existence of candidates for exotic hadrons whose masses are close to both of two-body and three-body hadronic thresholds lying close to each other, we study degenerate two-body and three-body coupled-channel systems. We…

High Energy Physics - Phenomenology · Physics 2018-06-27 Atsunari Konishi , Osamu Morimatsu , Shigehiro Yasui

The recently developed method to solve the Faddeev equations in coordinate space is used to study the weakly bound halo nucleus, the hypertriton (Lambda + n + p). The long distances are treated carefully to achieve convergence and high…

Nuclear Theory · Physics 2008-11-26 A. Cobis , A. S. Jensen , D. V. Fedorov

The complexity of threshold phenomena is exemplified on a prominent and long-known case - the structure in the $\Lambda p$ cross section (invariant mass spectrum) at the opening of the $\Sigma N$ channel. The mass splitting between the…

Nuclear Theory · Physics 2021-09-28 J. Haidenbauer , U. -G. Meißner

In coupled-channel models the poles of the scattering S-matrix are located on different Riemann sheets. Physical observables are affected mainly by poles closest to the physical region but sometimes shadow poles have considerable effect,…

Nuclear Theory · Physics 2018-02-14 R. M. Id Betan , A. T. Kruppa , T. Vertse

We apply our method of complex scaling, valid for a general class of potentials, in a search for nucleon-nucleon S-matrix poles up to 2 GeV laboratory kinetic energy. We find that the realistic potentials JISP16, constructed from inverse…

Nuclear Theory · Physics 2015-05-20 G. Papadimitriou , J. P. Vary

$\Lambda N$ spin-spin and spin-orbit splittings in low-lying excitation spectra are investigated for $p$-shell $\Lambda$ hypernuclei on the basis of the microscopic structure calculation within the antisymmetrized molecular dynamics, where…

Nuclear Theory · Physics 2020-02-19 Masahiro Isaka , Yasuo Yamamoto , Toshio Motoba

Using a generalized T-matrix description which, in principle, exactly includes Coulomb correlations and potential scattering events, resonant and bound impurity states are discussed. Like in the non-interacting case, the effects of the…

Condensed Matter · Physics 2009-10-28 W. Ziegler , D. Poilblanc , R. Preuss , W. Hanke , D. J. Scalapino

The nucleon-nucleon (NN) t-matrix is calculated directly as function of two vector momenta for different realistic NN potentials. To facilitate this a formalism is developed for solving the two-nucleon Lippmann-Schwinger equation in…

Nuclear Theory · Physics 2009-11-06 I. Fachruddin , Ch. Elster , W. Glöckle

We investigated the dependence of the $K^- d$ scattering length on models of $\bar{K}N$ interaction with one or two poles for $\Lambda(1405)$ resonance. The $\bar{K}NN - \pi \Sigma N$ system is described by coupled-channel Faddeev equations…

Nuclear Theory · Physics 2012-10-10 N. V. Shevchenko

Based on relativistic mean field (RMF) models, we study finite $\Lambda$-hypernuclei and massive neutron stars. The effective $N$-$N$ interactions PK1 and TM1 are adopted, while the $N$-$\Lambda$ interactions are constrained by reproducing…

Nuclear Theory · Physics 2018-03-14 Ting-Ting Sun , Cheng-Jun Xia , Shi-Sheng Zhang , M. S. Smith

We probed the pole structure of the $P_\psi^{N}(4312)^{+}$ using a trained deep neural network. The training dataset was generated using uniformized independent S-matrix poles to ensure that the obtained interpretation is as…

High Energy Physics - Phenomenology · Physics 2024-05-28 Leonarc Michelle Santos , Vince Angelo A. Chavez , Denny Lane B. Sombillo

We reanalyze the constraints imposed on lepton-number violating interactions by radiative contributions to neutrino masses at the one- and two-loop level in supersymmetric models without R-parity. The interactions considered are the $\Delta…

High Energy Physics - Phenomenology · Physics 2009-11-07 Francesca Borzumati , Jae Sik Lee

A rigorous formalism for determining the electric dipole polarizability of a three-hadron bound complex in the case that the system has only one bound (ground) state has been elaborated. On its basis, by applying a model wave function that…

Nuclear Theory · Physics 2008-11-18 V. F. Kharchenko , A. V. Kharchenko

Recent work on using density dependent $\Lambda$-nuclear optical potentials in calculations of $\Lambda$-hypernuclear binding energies is reviewed. It is found that all known $\Lambda$ binding energies in the mass range $16 \leq A \leq 208$…

Nuclear Theory · Physics 2026-02-11 Eliahu Friedman , Avraham Gal