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We have studied the relations between the neutron-triton scattering lengths and effective ranges and the corresponding quantities for the p --$^{3}$He scattering in the framework of the potential model with an effective nucleon-nucleus…

Nuclear Theory · Physics 2009-03-09 V. P. Levashev

We present an extraction of the pion-nucleon ($\pi N$) scattering lengths from low-energy $\pi N$ scattering, by fitting a representation based on Roy-Steiner equations to the low-energy data base. We show that the resulting values confirm…

High Energy Physics - Phenomenology · Physics 2018-01-17 Jacobo Ruiz de Elvira , Martin Hoferichter , Bastian Kubis , Ulf-G. Meißner

An exploratory study is made of the nucleon-nucleon $s$-wave scattering lengths in quenched lattice QCD with the Wilson quark action. The $\pi$-$N$ and $\pi$-$\pi$ scattering lengths are also calculated for comparison. The calculations are…

High Energy Physics - Lattice · Physics 2016-08-31 M. Fukugita , Y. Kuramashi , H. Mino , M. Okawa , A. Ukawa

The use of scattering length of particle-target interaction due to real- valued potential to study the bound states of the particle-target system is well known in nuclear and atomic physics. In view of the current interest in using…

Nuclear Theory · Physics 2015-06-17 Q. Haider , Lon-chang Liu

Pion-nucleus elastic scattering at energies above the Delta(1232) resonance is studied using both pi+ and pi- beams on 12C, 40Ca, 90Zr, and 208Pb. The present data provide an opportunity to study the interaction of pions with nuclei at…

In an effective Lagrangian model employing the K-matrix approximation we extract nucleon resonance parameters. To this end we analyze simultaneously all available data for reactions involving the final states $\pi N$, $\pi\pi N$, $\eta N$…

Nuclear Theory · Physics 2008-11-26 T. Feuster , U. Mosel

A partial-wave analysis (PWA) of NN elastic scattering data has been completed. This analysis covers an expanded energy range, from threshold to a laboratory kinetic energy of 3 GeV, in order to include recent elastic pp polarized…

Nuclear Theory · Physics 2011-08-12 Richard A. Arndt , Igor I. Strakovsky , Ron L. Workman

We show that the S-wave $\eta N$ scattering length can be extracted in a model independent way within the scope of the multichannel model, but with the restricting assumption that only one resonance is included per partial wave. One has…

Nuclear Theory · Physics 2009-09-25 Mijo Batinic , Alfred Svarc

We use the Belle data on the $K^- p$ mass distribution of the $\Lambda_c^+ \to p K^- \pi^+$ reaction near the $\eta \Lambda$ threshold to determine the $\eta \Lambda $ scattering length and effective range. We show that from these data…

High Energy Physics - Phenomenology · Physics 2024-07-29 Man-Yu Duan , Melahat Bayar , Eulogio Oset

The interaction of neutrons and nuclei at low energies may potentially lead to scattering lengths several orders of magnitude larger than the effective range of the interaction, well beyond the nuclear scale. If such cases existed, they…

Nuclear Theory · Physics 2026-04-16 F. Miguel Marqués

The pion-nucleon amplitude is considered in the vicinity of the elastic scattering threshold within a relativistic dynamical model dressing the pi N N and pi N Delta vertices self-consistently with an infinite number of meson loops. The…

Nuclear Theory · Physics 2009-11-07 S. Kondratyuk

A new sum rule determines the nucleon sigma term by the \pi N elastic scattering threshold parameters alone. This "threshold" value of \sigma(2\mu^2) provides an independent check of existing values obtained from global dispersive analyses,…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. G. Olsson

Eta-deuteron scattering lengths are calculated. A summation of the multiple scattering series is carried out and the result is checked against more involved calculations. The necessity to go beyond the fixed nucleon approximation is…

Nuclear Theory · Physics 2008-11-26 A. M. Green , J. A. Niskanen , S. Wycech

The experimental data on pi N scattering in the elastic energy region T_pi < 250 MeV are analyzed within the multichannel K-matrix approach with effective Lagrangians. Isospin invariance is not assumed in this analysis and the physical…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. B. Gridnev , I. Horn , W. J. Briscoe , I. I. Strakovsky

The elastic pi-N scattering amplitude in the isospin limit is calculated in the framework of heavy baryon chiral perturbation theory, up to the third order. Threshold parameters like scattering lengths, volumes, effective ranges, etc. are…

High Energy Physics - Phenomenology · Physics 2011-09-13 Martin Mojzis

The eta-deuteron scattering amplitude is calculated with a recent K-matrix model of eta-N interactions. The existence of a narrow virtual state in the eta-deuteron system is inferred. This state couples strongly to the eta-d channel but its…

Nuclear Theory · Physics 2009-11-07 S. Wycech , A. M. Green

Recent experimental results for neutron-neutron scattering length are reanalyzed from the point of view of three-nucleon force contribution. We found that the limiting value of $a_{nn}=- 15.8\pm 0.5$~fm must be free of any implicit…

Nuclear Theory · Physics 2017-04-27 E. S. Konobeevski , S. V. Zuyev , V. I. Kukulin , V. N. Pomerantsev

We discuss the possibility to extract the neutron-neutron scattering length a_{nn} from experimental spectra on the reaction gamma d --> pi^+ nn. The transition operator is calculated to high accuracy from chiral perturbation theory. We…

Nuclear Theory · Physics 2008-11-26 V. Lensky , V. Baru , E. Epelbaum , C. Hanhart , J. Haidenbauer , A. Kudryavtsev , Ulf-G. Meißner

The \eta-meson collision with light nuclei, ^2H, ^3H, ^3He, and ^4He, is considered on the basis of a microscopic approach which utilises Faddeev type and Lippmann-Schwinger equations. The nuclear hamiltonian is approximated by the finite…

Nuclear Theory · Physics 2007-05-23 S. A. Sofianos , S. A. Rakityansky , M. Braun

The position and movement of poles of the amplitude for elastic eta-meson scattering off the light nuclei d, t, ^3He, and ^4He are studied. It is found that, within the existing uncertainties for the elementary eta-N interaction, all these…

Nuclear Theory · Physics 2007-05-23 S. A. Rakityansky , S. A. Sofianos , M. Braun , V. B. Belyaev , W. Sandhas