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Related papers: Effective Range in Doublet S-wave Neutron-Deuteron…

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The properties of low-energy neutron-proton systems are studied in an effective field theory where only nucleons figure as relevant degrees of freedom. With a finite momentum cut-off regularization scheme, we show that the large scattering…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tae-Sun Park

A modified version of the Faddeev three-body equation to accommodate the Coulomb interaction, which was used in the study of three-nucleon bound states, is applied to the proton-deuteron scattering problem at energies below the three-body…

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

Important contributions to meson-nucleus scattering are produced by terms in the multiple-scattering series, which is defined as the sum of all diagrams where the meson scatters back and forth between a pair of static nucleons before…

Nuclear Theory · Physics 2015-06-04 V. Baru , E. Epelbaum , C. Hanhart , M. Hoferichter , A. E. Kudryavtsev , D. R. Phillips

Next to leading order effective field theory calculations are performed for $ {}^1S_0$ NN scattering using subtractive renormalization procedure. One pion exchange and contact interaction potentials are iterated using Lippman-Schwinger…

Nuclear Theory · Physics 2009-10-31 J. Gegelia

We report the most precise determination of the $^{1}S_{0}$ neutron-neutron effective range parameter ($r_{nn}$) from neutron-neutron quasifree scattering in neutron-deuteron breakup. The experiment setup utilized a collimated beam of 15.5…

Doublet Lambda d scattering and the hypertriton are studied in the framework of an effective field theory for large scattering lengths. As in the triton case, consistent renormalization requires a one-parameter three-body force at leading…

Nuclear Theory · Physics 2009-11-07 H. -W. Hammer

The neutron-neutron fusion process, $nn\to de\nu$, at very low neutron energies is studied in the framework of pionless effective field theory that incorporates dibaryon fields. The cross section and electron energy spectrum for this…

Nuclear Theory · Physics 2009-11-11 Shung-ichi Ando , Kuniharu Kubodera

We present a new chiral expansion scheme for the nucleon-nucleon scattering amplitude which preserves unitarity exactly. Our effective field theory builds on the power counting rules for 2-nucleon reducible diagrams proposed in \cite{lutz}.…

Nuclear Theory · Physics 2010-12-16 M. Lutz

Progress in the Effective Field Theory of two and three nucleon systems is sketched, concentrating mainly on the low energy version in which pions are integrated out as explicit degrees of freedom. Examples given are: the extraction of…

Nuclear Theory · Physics 2009-11-07 Harald W. Griesshammer

The pi- d atom strong energy-level shift in the 1s state is derived by using the effective field theory. Taking into account the large value of radius of pionic deuterium and short radius of strong interaction between pion and deuteron we…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. F. Irgaziev , B. A. Fayzullaev

We calculate elastic electron-deuteron scattering in a chiral effective field theory approach for few-nucleon systems based on a modified Weinberg power counting. We construct the current operators and the deuteron wave function at…

Nuclear Theory · Physics 2009-11-07 Markus Walzl , Ulf-G. Meißner

Due to an accidentally large $s$-wave scattering length, in a relatively wide range of energy, neutrons are approximately described by the nonrelativistic conformal field theory of unitarity fermions, perturbed by one relevant and an…

High Energy Physics - Theory · Physics 2024-01-12 Subham Dutta Chowdhury , Ruchira Mishra , Dam Thanh Son

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

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

Using the complex energy method, the problem of nucleon-deuteron scattering is solved with a simple three-body force having a separable form. Our results are compared with the results of modern direct two-variable calculations and a good…

Nuclear Theory · Physics 2012-07-03 Aye Mya Phyu , Hiroyuki Kamada , Jacek Golak , Htun Htun Oo , Henryk Witala , Walter Gloeckle

We propose a low energy effective field theory of QCD at the scale of pion mass for the $N_B=2$ sector, $N_B$ being the baryon number, which contains two dibaryon fields in addition to the nucleons and pions. It has a well defined counting,…

Nuclear Theory · Physics 2008-11-26 Joan Soto , Jaume Tarrus

We compute the neutron-neutron relative-energy distribution of the triton following the hard knockout of the proton in pionless effective field theory. This distribution can be used to study universality as well as to obtain information on…

Nuclear Theory · Physics 2025-05-28 Tanja Kirchner , Matthias Göbel , Hans-Werner Hammer

A distorted-wave method is used to analyse nucleon-nucleon scattering in the 1S0 channel. Effects of one-pion exchange are removed from the empirical phase shift to all orders by using a modified effective-range expansion. Two-pion exchange…

Nuclear Theory · Physics 2010-11-08 Michael C. Birse

This work implements pionless effective field theory with the two-nucleon system expanded around the unitarity limit at second order perturbation theory. The expansion is found to converge well. All Coulomb effects are treated in…

Nuclear Theory · Physics 2017-05-15 Sebastian König

We discuss the power counting for effective field theories with narrow resonances near a two-body threshold. Close to threshold, the effective field theory is perturbative and only one combination of coupling constants is fine-tuned. In the…

Nuclear Theory · Physics 2009-11-10 P. F. Bedaque , H. -W. Hammer , U. van Kolck