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The pion-deuteron scattering length is computed to next-to-next-to-leading order in baryon chiral perturbation theory. A modified power-counting is then formulated which properly accounts for infrared enhancements engendered by the large…

High Energy Physics - Phenomenology · Physics 2009-04-17 S. R. Beane , V. Bernard , E. Epelbaum , Ulf-G. Meissner , D. R. Phillips

The isoscalar and isovector scattering lengths (b_0,b_1) are determined using a unitarized coupled channel approach based on chiral Lagrangians. Using experimental values of pionic hydrogen and deuterium as well as low energy pi N…

Nuclear Theory · Physics 2011-02-09 M. Doring , E. Oset , M. J. Vicente Vacas

A complete calculation of the corrections to pion-deuteron scattering length up to order $\chi^{3/2}$ with $\chi=m_{\pi}/M_{N}$ is performed. The calculation includes the dispersive contributions and corrections due to the explicit…

Nuclear Theory · Physics 2008-11-26 V. Baru , J. Haidenbauer , C. Hanhart , A. Kudryavtsev , V. Lensky , U. -G. Meissner

We discuss convergence issues as well as short distance constraints on the deuteron wave functions based on chiral perturbation theory relevant to pion deuteron scattering. Non-analytical terms arise in the multiple scattering series for…

Nuclear Theory · Physics 2007-05-23 M. Pavon Valderrama , E. Ruiz Arriola

We present a calculation of the pi^- d scattering length with an accuracy of a few percent using chiral perturbation theory. For the first time isospin-violating corrections are included consistently. Using data on pionic deuterium and…

Nuclear Theory · Physics 2010-12-21 V. Baru , C. Hanhart , M. Hoferichter , B. Kubis , A. Nogga , D. R. Phillips

The S wave pion deuteron scattering length is presented at NLO in the Effective Field Theory formulation of the two nucleon system with perturbative pions. At this order, this observable is determined by the iso-scalar S wave pion nucleon…

Nuclear Theory · Physics 2007-05-23 Bugra Borasoy , Harald W. Griesshammer

We calculate the chiral corrections to Weinberg's prediction for the S--wave $\pi N$ scattering lengths up--to--and--including order ${\cal O}(M_\pi^3)$ making use of heavy baryon chiral perturbation theory. For the isospin--odd scattering…

High Energy Physics - Phenomenology · Physics 2009-10-22 V. Bernard , N. Kaiser , Ulf-G. Meißner

We match the known chiral perturbation theory representation of the pi pi scattering amplitude to two loops with a phenomenological description that relies on the Roy equations. On this basis, the corrections to Weinberg's low energy…

High Energy Physics - Phenomenology · Physics 2011-05-05 G. Colangelo , J. Gasser , H. Leutwyler

We analyse elastic-pion nucleon scattering to fourth order in heavy baryon chiral perturbation theory, extending the third order study published in Nucl. Phys. A640 (1998) 199. We use various partial wave analyses to pin down the low-energy…

High Energy Physics - Phenomenology · Physics 2009-10-31 Nadia Fettes , Ulf-G. Meißner

We use the framework of effective field theories to discuss the determination of the S-wave \pi N scattering lengths from the recent high-precision measurements of pionic deuterium observables. The theoretical analysis proceeds in several…

Nuclear Theory · Physics 2014-11-18 Ulf-G. Meißner , Udit Raha , Akaki Rusetsky

It is shown that isospin-breaking corrections to the pion-deuteron scattering length can be very large, because of the vanishing of the isospin-symmetric contribution to this scattering length at leading order in chiral perturbation theory.…

Nuclear Theory · Physics 2008-11-26 Ulf-G. Meißner , Udit Raha , Akaki Rusetsky

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

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

We calculate the $T$-matrices of elastic pion-nucleon ($\pi N$) scattering up to fourth order in SU(3) heavy baryon chiral perturbation theory. The pertinent low-energy constants are determined by fitting to $\pi N$ phase shifts below 200…

Nuclear Theory · Physics 2020-12-03 Bo-Lin Huang

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

The S-wave scattering length of the strong pion-deuteron (pi D) scattering is calculated in the relativistic field theory model of the deuteron suggested in [1,2].The theoretical result agrees well with the experimental data. The important…

Nuclear Theory · Physics 2008-11-26 A. N. Ivanov , N. I. Troitskaya , M. Faber , H. Oberhummer

We calculate the complete $T$-matrices of pion-nucleon ($\pi N$) scattering to the third order in heavy baryon SU(3) chiral perturbation theory. The baryon mass in the chiral limit $M_0$ and the low-energy constants are determined by…

Nuclear Theory · Physics 2020-04-03 Bo-Lin Huang , Jing Ou-Yang

We use chiral perturbation theory to evaluate the scattering amplitude for the process Pi^+ K^- to Pi^+ K^- at leading and next-to-leading orders in the chiral counting and in the presence of isospin breaking effects. We also discuss the…

High Energy Physics - Phenomenology · Physics 2011-09-13 A. Nehme

The pi-N s-wave scattering lengths have been inferred from a joint analysis of the pionic hydrogen and the pionic deuterium x-ray data using a non-relativistic approach in which the pi-N interaction is simulated by a short-ranged potential.…

Nuclear Theory · Physics 2009-11-07 A. Deloff

We evaluate the isospin breaking corrections to the scattering amplitude \pi^- K^+ -> \pi^- K^+ at threshold in the framework of chiral perturbation theory. This channel is of particular interest for the strong 2S-2P energy level shift in…

High Energy Physics - Phenomenology · Physics 2009-11-07 Bastian Kubis , Ulf-G. Meißner
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