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Lattice QCD studies of hadron-hadron interactions are performed by computing the energy levels of the system in a finite box. The shifts in energy levels proportional to inverse powers of the volume are related to scattering parameters in a…

High Energy Physics - Lattice · Physics 2014-11-17 Paulo F. Bedaque , Ikuro Sato , Andre Walker-Loud

First it is shown that the tree amplitude for pion pion scattering in the minimal linear sigma model has an exact expression which is proportional to a geometric series in the quantity (s-$m_\pi^2$)/($m_B^2-m_\pi^2$), where $m_B$ is the…

High Energy Physics - Phenomenology · Physics 2009-12-10 Deirdre Black , Amir H. Fariborz , Renata Jora , Nae Woong Park , Joseph Schechter , M. Naeem Shahid

We present here an extension of our model for the pion, which we used previously to calculate its diagonal structure function, to the off-forward case. The imaginary part of the off-forward gamma^* pi -> gamma^* pi scattering amplitude is…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. P. Lansberg , F. Bissey , J. R. Cudell , J. Cugnon , P. Stassart

We investigate the determination of the pole associated to $\sigma$ from $\pi\pi$ scattering data below the $K\bar{K}$ threshold, including the new precise data from $K_{e4}$ decay reported recently by the NA48/2 Collaboration. Using a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Irinel Caprini

Low energy proton-proton scattering is studied in pionless effective field theory. Employing the dimensional regularization and MS-bar and power divergence subtraction schemes for loop calculation, we calculate the scattering amplitude in…

Nuclear Theory · Physics 2008-11-26 Shung-ichi Ando , Jae Won Shin , Chang Ho Hyun , Seung Woo Hong

We shall discuss about some analytic properties of the high-energy parton-parton (and hadron-hadron) scattering amplitudes in gauge theories, when going from Minkowskian to Euclidean theory, and we shall see how they can be related to the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Enrico Meggiolaro

In this work we present the analysis of the energy spectrum from a recent two-flavor ($N_f=2$) lattice QCD calculation for pion-pion scattering in the scalar, isoscalar channel (the $\sigma$-meson). The lattice simulation was performed for…

High Energy Physics - Lattice · Physics 2018-07-31 R. Molina , D. Guo , A. Alexandru , M. Mai , M. Döring

We report on the first measurement of angular correlations between high-energy pions and slow protons in electron-nucleus ($eA$) scattering, providing a new probe of how a nucleus responds to a fast-moving quark. The experiment employed the…

Nuclear Experiment · Physics 2026-02-06 S. J. Paul , M. Arratia , H. Hakobyan , W. Brooks , A. Acar , P. Achenbach , J. S. Alvarado , W. R. Armstrong , N. A. Baltzell , L. Barion , M. Bashkanov , M. Battaglieri , F. Benmokhtar , A. Bianconi , A. S. Biselli , F. Bossù , S. Boiarinov , K. -T. Brinkmann , W. J. Briscoe , V. Burkert , T. Cao , D. S. Carman , P. Chatagnon , H. Chinchay , G. Ciullo , P. L. Cole , A. D'Angelo , N. Dashyan , R. De Vita , A. Deur , S. Diehl , C. Djalali , R. Dupre , H. Egiyan , A. El Alaoui , L. Elouadrhiri , P. Eugenio , M. Farooq , S. Fegan , A. Filippi , C. Fogler , G. Gavalian , G. P. Gilfoyle , R. W. Gothe , B. Gualtieri , M. Hattawy , F. Hauenstein , T. B. Hayward , M. Hoballah , M. Holtrop , Yu-Chun Hung , Y. Ilieva , D. G. Ireland , E. L. Isupov , D. Jenkins , H. S. Jo , D. Keller , M. Khandaker , A. Kim , V. Klimenko , I. Korover , A. Kripko , V. Kubarovsky , L. Lanza , S. Lee , P. Lenisa , X. Li , D. Marchand , V. Mascagna , B. McKinnon , T. Mineeva , V. Mokeev , E. F. Molina Cardenas , C. Munoz Camacho , P. Nadel-Turonski , T. Nagorna , K. Neupane , S. Niccolai , G. Niculescu , M. Osipenko , A. I. Ostrovidov , M. Ouillon , P. Pandey , M. Paolone , L. L. Pappalardo , R. Paremuzyan , E. Pasyuk , C. Paudel , W. Phelps , N. Pilleux , P. S. H. Vaishnavi , S. Polcher Rafael , L. Polizzi , J. W. Price , Y. Prok , A. Radic , T. Reed , J. Richards , M. Ripani , J. Ritman , G. Rosner , S. Schadmand , A. Schmidt , R. A. Schumacher , Y. Sharabian , S. Shrestha , E. Sidoretti , D. Sokhan , N. Sparveris , M. Spreafico , S. Stepanyan , I. I. Strakovsky , S. Strauch , M. Tenorio , F. Touchte Codjo , R. Tyson , M. Ungaro , S. Vallarino , C. Velasquez , L. Venturelli , H. Voskanyan , E. Voutier , Y. Wang , D. P. Watts , U. Weerasinghe , X. Wei , M. H. Wood , L. Xu , Z. Xu , M. Zurek

We present the first calculation of coupled-channel meson-meson scattering in the isospin $=1$, $G$-parity negative sector, with channels $\pi \eta$, $K\overline{K}$ and $\pi \eta'$, in a first-principles approach to QCD. From the discrete…

High Energy Physics - Phenomenology · Physics 2016-05-18 Jozef J. Dudek , Robert G. Edwards , David J. Wilson

A large number of double parton scatterings have been recently measured by CDF. The double parton scattering process measures $\sigma_{eff}$, a non perturbative quantity related to the hadronic transverse size and with the dimensions of a…

High Energy Physics - Phenomenology · Physics 2009-10-30 Giorgio Calucci , Daniele Treleani

The multichannel S- and P-wave amplitudes for the pion-pion scattering, constructed requiring analyticity and unitarity of the S-matrix and using the uniformization procedure, are elaborated using the dispersion relations with imposed…

Nuclear Theory · Physics 2013-11-05 Petr Bydzovsky , Robert Kaminski

We first discuss the theoretical and phenomenological significance of the sigma meson ($\sigma$) in QCD. It is indicated that if the collective modes with the mass 500-600 MeV exists in the $I=J=0$ channel, various empirical facts in hadron…

High Energy Physics - Phenomenology · Physics 2007-05-23 Teiji Kunihiro

Low energy scattering and bound state properties of the \pi N, \pi\pi and K\pi systems are studied as coupled channel problems using inversion potentials of phase shift data. In a first step we apply the potential model to explain recent…

Nuclear Theory · Physics 2016-09-08 M. Sander , H. V. von Geramb

A lattice QCD computation of the coupled channel $\pi\Sigma-\bar{K}N$ scattering amplitudes in the $\Lambda(1405)$ region is detailed. Results are obtained using a single ensemble of gauge field configurations with $N_{\rm f} = 2+1$…

We present a determination of the isospin-1/2 elastic $\pi K$ scattering amplitudes in S and P partial waves using lattice Quantum Chromodynamics. The amplitudes, constrained for a large number of real-valued energy points, are obtained as…

High Energy Physics - Lattice · Physics 2019-07-31 David J. Wilson , Raul A. Briceno , Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas

We study the nucleon-nucleon interaction in the isoscalar-scalar channel using t he chiral unitary approach. The $t$-matrix of the pion-pion scattering in this c hannel is summed up to all orders using the B-S equation. We find that the…

Nuclear Theory · Physics 2009-11-06 E. Oset , H. Toki , M. Mizobe , T. T. Takahashi

We analyze the spectrum of two- and three-pion states of maximal isospin obtained recently for isosymmetric QCD with pion mass $M\approx 200\;$MeV in Ref. [1]. Using the relativistic three-particle quantization condition, we find $\sim 2…

High Energy Physics - Lattice · Physics 2021-03-16 Tyler D. Blanton , Fernando Romero-López , Stephen R. Sharpe

A behavior of imaginary and real parts of the high-energy elastic hadron scattering amplitude is examined in the diffraction region. It is shown that the interference between Coulomb and hadronic scattering at small momentum transfers and…

High Energy Physics - Phenomenology · Physics 2016-08-16 O. V. Selyugin , M. Lokajíček , V. Kundrát

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

The main contribution to hard elastic scattering comes from components of wave functions of colliding hadrons that contain minimum number of partons. We discuss this mechanism in regge and parton approaches and estimate the probabilities…

High Energy Physics - Phenomenology · Physics 2010-12-27 O. V. Kancheli