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We study kaonic hydrogen, the bound K^-p state A_(Kp). Within a quantum field theoretic and relativistic covariant approach we derive the energy level displacement of the ground state of kaonic hydrogen in terms of the amplitude of K^-p…

Nuclear Theory · Physics 2008-11-26 A. N. Ivanov , M. Cargnelli , M. Faber , J. Marton , N. I. Troitskaya , J. Zmeskal

We argue that due to isospin and U-spin invariance of strong low-energy interactions the S-wave scattering lengths a^0_0 and a^1_0 of bar-KN scattering with isospin I=0 and I = 1 satisfy the low-energy theorem a^0_0 + 3 a^1_0 = 0 valid to…

We present a detailed analysis of S-wave Kpi scattering up to 2 GeV, making use of the resonance chiral Lagrangian predictions together with a suitable unitarisation method. Our approach incorporates known theoretical constraints at low and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Matthias Jamin , Jose Antonio Oller , Antonio Pich

We perform an evaluation of the p-wave amplitudes of meson-baryon scattering in the strangeness S=-1 sector starting from the lowest order chiral Lagrangians and introducing explicitly the Sigma^* field with couplings to the meson-baryon…

Nuclear Theory · Physics 2009-11-07 D. Jido , E. Oset , A. Ramos

Compton scattering results are used to probe proton structure via measurement of higher order polarizabilities. Values for $\alpha_{E2}^p,\beta_{E2}^p,\alpha_{E\nu}^p,$ $\beta_{E\nu}^p$ determined via dispersion relations are compared to…

High Energy Physics - Phenomenology · Physics 2016-09-06 Barry R. Holstein , D. Drechsel , B. Pasquini , M. Vanderhaeghen

We calculate the chiral corrections to the s-wave pseudoscalar meson octet-baryon scattering lengths $a_{MB}$ to ${\cal O}(p^3)$ in the SU(3) heavy baryon chiral perturbation theory (HB$\chi$PT). Hopefully the obtained analytical…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yan-Rui Liu , Shi-Lin Zhu

Interesting theories with short range interactions include QCD in the hadronic phase and cold atom systems. The scattering length in two-to-two elastic scattering process captures the most elementary features of the interactions, such as…

High Energy Physics - Theory · Physics 2020-03-04 Carlos Hoyos , Niko Jokela , Daniel Logares

In the context of chiral SU(2) perturbation theory, pion-kaon scattering is analysed near the threshold to fourth chiral order. The scattering amplitude is calculated both in the relativistic framework and by using an approach similar to…

High Energy Physics - Phenomenology · Physics 2009-10-31 Arnold Roessl

Near threshold pion production experiments have been recently carried out and used to extract S--wave $\pi\pi$ scattering lengths. We emphasize here that at present these processes are related only at the tree level (and its first…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. G. Olsson , Ulf-G. Meißner , N. Kaiser , V. Bernard

The prototype of a Kbar nuclear cluster, K^-pp, has been investigated using effective KbarN potentials based on chiral SU(3) dynamics. Variational calculation shows a bound state solution with shallow binding energy B(K^-pp)=20 \pm 3 MeV…

Nuclear Theory · Physics 2015-05-13 Akinobu Doté , Tetsuo Hyodo , Wolfram Weise

We have evaluated forward dispersion relations for scattering amplitudes that follow from direct fits to several sets of pion-pion scattering experiments, together with the precise K decay results, and high to energy data. We find that some…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. R. Pelaez , F. J. Yndurain

We have systematically studied the S-wave pseudoscalar meson and heavy vector meson scattering lengths to the third order with the chiral perturbation theory, which will be helpful to reveal their strong interaction. For comparison, we have…

High Energy Physics - Phenomenology · Physics 2011-08-10 Zhan-Wei Liu , Yan-Rui Liu , Xiang Liu , Shi-Lin Zhu

The low-energy effective theory description of a confining theory, such as QCD, is constructed including local interactions between hadrons organized in a derivative expansion. This kind of approach also applies more generically to theories…

High Energy Physics - Theory · Physics 2020-11-09 Carlos Hoyos , Niko Jokela , Daniel Logares

We calculate the doublet and quartet neutron-deuteron scattering lengths using a nonlocal nucleon-nucleon interaction fully derived from quark-quark interactions. We use as input the $NN$ $^1S_0$ and $^3S_1$-${}^3 D_1$ partial waves. Our…

Nuclear Theory · Physics 2011-11-10 H. Garcilazo , A. Valcarce

Scattering lengths for two pseudoscalar meson systems, $\pi\pi(I=2)$, $KK(I=1)$ and $\pi K(I=3/2,\ 1/2)$, are calculated from lattice QCD by using the finite size formula. We perform the calculation with $N_f=2+1$ gauge configurations…

High Energy Physics - Lattice · Physics 2021-12-16 Kiyoshi Sasaki , Naruhito Ishizuka , Makoto Oka , Takeshi Yamazaki

In the last few years it has become possible to study low energy pi pi scattering in kaon decays to three pions, thanks to the high statistics measurement of K+- -> pi+- pi0 pi0 decays performed by the NA48/2 experiment at the CERN SPS. At…

High Energy Physics - Experiment · Physics 2008-11-26 Rainer Wanke

We calculate the energy level displacement of the excited $np$ state of kaonic deuterium in terms of the P-wave scattering length of $K^-d$ scattering. We solve the Faddeev equations for the amplitude of $K^-d$ scattering in the fixed…

Nuclear Theory · Physics 2015-05-20 M. Faber , M. P. Faifman , A. N. Ivanov , J. Marton , M. Pitschmann , N. I. Troitskaya

A new evaluation of the universal $\pi\pi$ scattering length relation is used to extract the $\pi\pi$ $s$-wave scattering lengths from threshold pion production data. Previous work has shown that the chiral perturbation series relating…

High Energy Physics - Phenomenology · Physics 2009-10-30 M. G. Olsson

It is argued, that adjusting strong potentials directly to observed hadronic atom level shifts may lead to significantly different scattering lengths, than those, predicted by the Deser formula. On the example of the 1s level shift of…

Nuclear Theory · Physics 2009-11-18 J. Révai , N. V. Shevchenko

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