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The low-energy neutron-Sigma^- interactions determine, in part, the role of the strange quark in dense matter, such as that found in astrophysical environments. The scattering phase shifts for this system are obtained from a numerical…

High Energy Physics - Lattice · Physics 2013-05-30 S. R. Beane , E. Chang , S. D. Cohen , W. Detmold , H. -W. Lin , T. C. Luu , K. Orginos , A. Parreno , M. J. Savage , A. Walker-Loud

We calculate the s-wave strong interaction $\Lambda$$\pi$ phase shift at the $\Xi$ mass taking into account contributions from the ${{\frac{1}{2}}}^{-}$ and ${{\frac{3}{2}}}^{-}$ $\Sigma$ resonances. We find the S-wave phase shift to be…

High Energy Physics - Phenomenology · Physics 2015-06-25 Alakabha Datta , Sandip Pakvasa

A set of well known once subtracted dispersion relations with imposed crossing symmetry condition is used to modify unitary multichannel $S$ ($\pi\pi$, $K \bar K$, and $\eta\eta$) and $P$ ($\pi\pi$, $\rho 2\pi$, and $\rho\sigma$) wave…

High Energy Physics - Phenomenology · Physics 2015-06-23 P. Bydžovský , R. Kamiński , V. Nazari

The mass of the lightest hadron in nature, the pion, is one seventh of that of the nucleon, and one tenth of the mass of its first excited state, the $\pi(1300)$. This enormous energy difference opens an interesting window into the…

High Energy Physics - Lattice · Physics 2025-10-13 Haobo Yan , Maxim Mai , Marco Garofalo , Yuchuan Feng , Michael Döring , Chuan Liu , Liuming Liu , Ulf-G. Meißner , Carsten Urbach

We derive the pion mass and the elastic pion-pion scattering amplitude in the QCD theta-vacuum up to next-to-leading order in chiral perturbation theory. Using the modified inverse amplitude method, we study the theta-dependence of the mass…

High Energy Physics - Phenomenology · Physics 2015-09-30 Neramballi Ripunjay Acharya , Feng-Kun Guo , Maxim Mai , Ulf-G. Meißner

Chiral Ward identities lead to consistent accounting for the sigma's width in the linear sigma model's Feynman rules. Reanalysis of pion scattering data at threshold imply a mass for the sigma of 600+ 200 - 100 MeV.

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Ruiz-Altaba , J. L. Lucio , M. Napsuciale

The differential cross sections and s-wave and p-wave multipoles for $\pi^- p \to \gamma n$ and $\pi^+ n \to \gamma p$ have been calculated through $O(p^3)$ in heavy baryon chiral perturbation theory (HBChPT). Fits to existing data allow…

High Energy Physics - Phenomenology · Physics 2009-10-31 Harold W. Fearing , Thomas R. Hemmert , Randy Lewis , Christine Unkmeir

We demonstrate that, together with the available experimental information, chiral symmetry determines the low energy behaviour of the $\pi\pi$ scattering amplitude to within very small uncertainties. In particular, the threshold parameters…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. Colangelo , J. Gasser , H. Leutwyler

We extend the usual chiral perturbation theory framework ($\chi$PT) to allow the inclusion of a light dynamical isosinglet scalar. Using lattice QCD results, and a few phenomenological inputs, we explore the parameter space of the effective…

High Energy Physics - Phenomenology · Physics 2015-05-30 J. Soto , P. Talavera , J. Tarrús

We calculate the complete $T$ matrices with decuplet contributions for pion-nucleon scattering to order $\mathcal{O}(\epsilon^3)$ in heavy baryon SU(3) chiral perturbation theory. The baryon mass in the chiral limit $M_0$ and the low-energy…

Nuclear Theory · Physics 2024-12-12 Jing Ou-Yang , Bo-Lin Huang

We extract the deep inelastic scattering cross-sections ratio $R= \sigma _L/\sigma _T$ in the range $10^{-4} \leq x \leq 10^{-1}$ from $F_2$ HERA data using very simple relations based on perturbative QCD. The result depends on only one…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Parente , A. V. Kotikov

We briefly review the recent progresses in the new unitarization approach being developed by us. Especially we discuss the large $N_c$ $\pi\pi$ scatterings by making use of the partial wave $S$ matrix parametrization form. We find that the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Z. X. Sun , L. Y. Xiao , Z. G. Xiao , H. Q. Zheng , Z. Y. Zhou

A perturbative QCD treatment of the pion wave function is applied to computing the scattering amplitude for coherent high relative momentum di-jet production from a nucleon.

High Energy Physics - Phenomenology · Physics 2014-11-17 L. Frankfurt , G. A. Miller , M. Strikman

We use QCD to compute the cross section for coherent production of a di-jet (treated as a $q\bar q$ moving at high relative transverse momentum,$\kappa_t $). In the target rest frame,the space-time evolution of this reaction is dominated by…

High Energy Physics - Phenomenology · Physics 2009-10-31 L. Frankfurt , G. A. Miller , M. Strikman

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

A comprehensive analysis of $\pi K\rightarrow \pi K$ and $\pi\pi\rightarrow K\bar K$ amplitudes at large unphysical pion mass for all important partial waves is presented. A set of crossing-symmetric partial-wave hyperbolic dispersion…

High Energy Physics - Phenomenology · Physics 2025-08-01 Xiong-Hui Cao , Feng-Kun Guo , Zhi-Hui Guo , Qu-Zhi Li

In this paper, the approach for considering fast charged particles scattering on targets of complex structure, which contain some isolated substructures, is introduced. Based on this approach, the differential cross section for scattering…

High Energy Physics - Theory · Physics 2025-09-16 V. D. Omelchenko

We calculate the T-matrices of pseudoscalar meson octet-baryon scattering to one-loop order in SU(3) heavy baryon chiral perturbation theory. The pertinent combinations of low-energy constants are determined by fitting to phase shifts of…

Nuclear Theory · Physics 2017-07-31 Bo-Lin Huang , Jin-Sheng Zhang , Yun-De Li , Norbert Kaiser

We develop a relativistic covariant and unitary description of the pion-nucleon interaction in a hadron-exchange model. The model is based on the solution of a dimensionally reduced (quasipotential) Bethe-Salpeter equation for the…

Nuclear Theory · Physics 2009-11-06 V. Pascalutsa , J. A. Tjon

We propose to study hadron-hadron scattering using lattice QCD in an asymmetric box which allows one to access more non-degenerate low-momentum modes for a given volume. The conventional L\"{u}scher's formula applicable in a symmetric box…

High Energy Physics - Lattice · Physics 2008-11-26 C. Liu , Y. Shen , X. Li , G. Z. Meng , X. Feng , M. Gong , S. He , Y. Chen , G. Li , Y. B. Liu , X. F. Meng , J. P. Ma , J. B. Zhang