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We analyze the clean cusp, seen in the $\eta \pi$ mass distribution with high precision of the $\chi_{c1} \to \eta \pi^+ \pi^-$ reaction in the BESIII experiment, with the aim of making a precise determination of the scattering length $a$…

High Energy Physics - Phenomenology · Physics 2024-10-04 Hai-Peng Li , Jia-Xin Lin , Wei-Hong Liang , Eulogio Oset

We consider constraints on the isoscalar S-wave pi-N scattering length a+ from pi-deuteron scattering, to third order in small momenta and pion masses in chiral perturbation theory. To this order, the pi-deuteron scattering length is…

Nuclear Theory · Physics 2008-11-26 S. R. Beane , V. Bernard , T. -S. H. Lee , Ulf-G. Meißner

We compute pion-nucleon scattering at tree-level within a gauged linear sigma model which contains the nucleon and its chiral partner. Such an investigation in principle allows to make definite predictions as to whether the main…

Nuclear Theory · Physics 2010-11-26 Susanna Wilms , Francesco Giacosa , Dirk H. Rischke

$\Kbar N$ interactions are investigated {\it via} an effective non-linear chiral meson-baryon Lagrangian. The adjustable parameters are determined by a fitting procedure on the $K^-p$ threshold branching ratios and total cross-section data…

Nuclear Theory · Physics 2009-11-10 A. Bahaoui , C. Fayard , T. Mizutani , B. Saghai

We derive a generalized Low equation for the T-matrix appropriate for complex atom-molecule interaction. The properties of this new equation at very low energies are studied and the complex scattering length and effective range are derived.

Atomic Physics · Physics 2009-11-06 M. S. Hussein

Medium and high energy absorptive parts contribute to dispersive expressions for D- wave scattering lengths, $a^0_2$ and $a^2_2$. For the model employed by Basdevant, Frogatt and Peterson we find the D- wave driving term contributions to…

High Energy Physics - Phenomenology · Physics 2016-09-01 B. Ananthanarayan , P. Büttiker

The pion-nucleon $\sigma$-term can be stringently constrained by the combination of analyticity, unitarity, and crossing symmetry with phenomenological information on the pion-nucleon scattering lengths. Recently, lattice calculations at…

High Energy Physics - Lattice · Physics 2016-07-01 Martin Hoferichter , Jacobo Ruiz de Elvira , Bastian Kubis , Ulf-G. Meißner

This study outlines a numerical methodology aimed at rectifying the neutron scattering cross-sections of fundamental elements across a range of low neutron energies typically employed in general neutron scattering experiments. By using the…

Data Analysis, Statistics and Probability · Physics 2023-09-28 Karrie E. An , Guan-Rong Huang , Changwoo Do , Wei-Ren Chen

We extend our previous study of elastic pion-nucleon scattering in the framework of chiral perturbation theory by performing a combined analysis of the reactions $\pi N \to \pi N$ and $\pi N \to \pi \pi N$. The calculation is carried out to…

Nuclear Theory · Physics 2020-03-05 D. Siemens , V. Bernard , E. Epelbaum , A. M. Gasparyan , H. Krebs , Ulf-G. Meißner

An empirical fit to electron-nucleus scattering for $A>2$ is made based on world data. It is valid for $0<W<3.2$ GeV and $0.2<Q^2<5$ GeV$^2$, and can be used with caution at lower $Q^2$. The fit is based on previous empirical fits to…

Nuclear Theory · Physics 2012-03-20 P. E. Bosted , V. Mamyan

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

Rates of coherent neutrino-nucleus elastic scattering at a high-intensity stopped-pion neutrino source in various detector materials (relevant for novel low-threshold detectors) are calculated. Sensitivity of a coherent neutrino-nucleus…

High Energy Physics - Experiment · Physics 2008-11-26 Kate Scholberg

We have performed a systematical calculation of the pion ($\pi, K, \eta$) and heavy pseudoscalar meson S-wave scattering lengths up to ${\cal O}(p^3)$ in the chiral perturbation theory in the heavy quark symmetry limit. With the three…

High Energy Physics - Phenomenology · Physics 2009-07-30 Yan-Rui Liu , Xiang Liu , Shi-Lin Zhu

Searches for new physics in the coherent elastic neutrino-nucleus scattering require a precise knowledge of the neutrino flux and energy spectrum. In this paper we investigate the feasibility and the performances of an experiment based on a…

Instrumentation and Detectors · Physics 2019-08-27 C. Bellenghi , D. Chiesa , L. Di Noto , M. Pallavicini , E. Previtali , M. Vignati

Peculiarities of obtaining parameters for broad multi-channel resonances from data are discussed analyzing the experimental data on processes $\pi\pi\to\pi\pi,K\bar{K}$ in the $I^GJ^{PC}=0^+0^{++}$ channel in a model-independent approach…

High Energy Physics - Phenomenology · Physics 2014-01-22 Yurii S. Surovtsev , Petr Bydzovsky , Robert Kaminski , Valery E. Lyubovitskij , Miroslav Nagy

The low-energy neutron$-^{19}$C scattering in a neutron-neutron-core model is studied with large scattering lengths near the conditions for the appearance of an Efimov state. We show that the real part of the elastic $s-$wave phase-shift…

Nuclear Theory · Physics 2008-12-18 M. T. Yamashita , T. Frederico , Lauro Tomio

We perform a nonperturbative calculation of the 1S0 NN scattering amplitude using an effective field theory (EFT) expansion. The expansion we advocate is a modification of what has been used previously; it is no a chiral expansion in powers…

Nuclear Theory · Physics 2009-10-30 David B. Kaplan , Martin J. Savage , Mark B. Wise

The pion-nucleon and kaon-nucleon scattering lengths are studied in the QCD sum rule. We show that the leading and next-to-leading order terms of the OPE give rise to the Tomozawa-Weinberg and sigma terms, respectively. We also show that in…

Nuclear Theory · Physics 2008-11-26 Y. Kondo , O. Morimatsu , Y. Nishino

With the aim at quantitatively investigating the longstanding problem concerning the effect of short range nucleon-nucleon correlations on scattering processes at high energies, the total neutron-nucleus cross section is calculated within a…

Nuclear Theory · Physics 2008-11-26 M. Alvioli , C. Ciofi degli Atti , I. Marchino , V. Palli , H. Morita

The textbook effective-range expansion of scattering theory is useful in the analysis of low-energy scattering phenomenology when the scattering length $|a|$ is much larger than the range $R$ of the scattering potential: $|a|\gg R$.…

Quantum Physics · Physics 2018-08-16 S K Adhikari