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Recursion relations for integrals of amplitudes over the phase space, i.e. for partial wave amplitudes, are introduced. In their simplest form these integrals are proportional to the s-wave amplitudes and represent rigorous lower bounds on…

High Energy Physics - Phenomenology · Physics 2009-10-22 Costas G. Papadopoulos

The pion-pion scattering amplitudes provided by second-order chiral perturbation theory are confronted with known rigorous constraints derived from the axioms of quantum field theory. We mainly test constraints restricting the…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. Ananthanarayan , D. Toublan , G. Wanders

We present an exploratory calculation of the $I=2$ $\pi-\pi$ scattering amplitude at threshold using Wilson fermions in the quenched approximation, including all the required contractions. We find good agreement with the predictions of…

High Energy Physics - Lattice · Physics 2009-10-22 Rajan Gupta , Apoorva Patel , Stephen Sharpe

We consider the evaluation of the $\eta\pi$ isospin-violating vector and scalar form factors relying on a systematic application of analyticity and unitarity, combined with chiral expansion results. It is argued that the usual analyticity…

High Energy Physics - Phenomenology · Physics 2014-07-11 S. Descotes-Genon , B. Moussallam

We analyse the pion electromagnetic, charged-current, and $\pi\gamma$ transition form factors at timelike momentum transfers $q$, $q^2=s\le 1.4$ GeV$^2$, using a dispersion approach. We discuss in detail the propagator matrix of the…

High Energy Physics - Phenomenology · Physics 2009-11-10 D. Melikhov , O. Nachtmann , V. Nikonov , T. Paulus

We present preliminary results of an improved pion-pion scattering dispersive analysis that includes: a refined treatment of inelasticities, the introduction of G-waves, the extension of Forward Dispersion Relations as constraints up to 1.6…

High Energy Physics - Phenomenology · Physics 2025-02-19 P. Rabán , J. R. Peláez , J. Ruiz de Elvira

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

Exclusive measurements of the quasi-free $pn \to pp\pi^0\pi^-$ reaction have been performed by means of $pd$ collisions at $T_p$ = 1.2 GeV using the WASA detector setup at COSY. Total and differential cross sections have been obtained…

Nuclear Experiment · Physics 2015-06-16 P. Adlarson , W. Augustyniak , W. Bardan , M. Bashkanov , F. S. Bergmann , M. Berłowski , H. Bhatt , M. Büscher , H. Calén , I. Ciepał , H. Clement , D. Coderre , E. Czerwiński , K. Demmich , E. Doroshkevich , R. Engels , W. Erven , W. Eyrich , P. Fedorets , K. Föhl , K. Fransson , F. Goldenbaum , P. Goslawski , A. Goswami , K. Grigoryev , C. --O. Gullström , F. Hauenstein , L. Heijkenskjöld , V. Hejny , F. Hinterberger , M. Hodana , B. Höistad , A. Jany , B. R. Jany , L. Jarczyk , T. Johansson , B. Kamys , G. Kemmerling , F. A. Khan , A. Khoukaz , D. A. Kirillov , S. Kistryn , J. Klaja , H. Kleines , B. Kłos , M. Krapp , W. Krzemień , P. Kulessa , A. Kupść , K. Lalwani , D. Lersch , L. Li , B. Lorentz , A. Magiera , R. Maier , P. Marciniewski , B. Mariański , M. Mikirtychiants , H. --P. Morsch , P. Moskal , B. K. Nandi , H. Ohm , I. Ozerianska , E. Perez del Rio , N. M. Piskunov , P. Pluciński , P. Podkopał , D. Prasuhn , A. Pricking , D. Pszczel , K. Pysz , A. Pyszniak , C. F. Redmer , J. Ritman , A. Roy , Z. Rudy , S. Sawant , A. Schmidt , S. Schadmand , T. Sefzick , V. Serdyuk , N. Shah , M. Siemaszko , R. Siudak , T. Skorodko , M. Skurzok , J. Smyrski , V. Sopov , R. Stassen , J. Stepaniak , E. Stephan , G. Sterzenbach , H. Stockhorst , H. Ströher , A. Szczurek , T. Tolba , A. Trzciński , R. Varma , G. J. Wagner , W. Węglorz , M. Wolke , A. Wrońska , P. Wüstner , P. Wurm , A. Yamamoto , X. Yuan , J. Zabierowski , C. Zheng , M. J. Zieliński , W. Zipper , J. Złomańczuk , P. Żuprański , M. Żurek

The inverse amplitude method has previously been successfully applied to $\pi\pi$ scattering in order to extend the range of applicability of chiral perturbation theory. However, in order to take the chiral zeros into account…

High Energy Physics - Phenomenology · Physics 2009-10-30 Torben Hannah

Measurements of spin observables in pp -> {\vec p}{\vec p}\pi^0 are suggested to remove the phase ambiguity of the threshold amplitude. The suggested measurements complement the IUCF data on {\vec p}{\vec p} -> pp\pi^0 to completely…

Nuclear Theory · Physics 2011-02-28 G. Ramachandran , G. Padmanabha , Sujith Thomas

The $D \bar{D}^*$ interaction via a $\pi \psi$ intermediate state is studied carefully in the isospin $I=1$ sector. By solving the Bethe-Salpeter equation in the unitary coupled-channel approximation, we obtain the S-wave amplitude as a…

Nuclear Theory · Physics 2017-08-22 Bao-Xi Sun , Da-Ming Wan , Guang-Yi Tang , Fang-Yong Dong

We determine the mass and strength of the scalar meson from NN scattering data by renormalizing the One Boson Exchange Potential. This procedure provides a great insensitivity to the unknown short distance interaction making the vector…

Nuclear Theory · Physics 2011-08-31 A. Calle Cordon , E. Ruiz Arriola

The lowest-lying resonance in the QCD spectrum is the $0^{++}$ isoscalar $\sigma$ meson, also known as the $f_0(500)$. We augment SU(2) chiral perturbation theory ($\chi$PT) by including the $\sigma$ meson as an additional explicit degree…

Nuclear Theory · Physics 2017-11-22 Arbin Thapaliya , Daniel R. Phillips

Sum rules for the off-shell isovector form factor pi -> gamma gamma* are given in terms of the pion form factor and the gamma pi ->pi pi experimental data. Similarly the corresponding sum rules for the isoscalar form factor are given in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tran N. Truong

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

We use a nonpertubative approach which combines coupled channel Lippmann Schwinger equations with meson-meson potentials provided by the lowest order chiral Lagrangian. By means of one parameter, a cut off in the momentum of the loop…

Nuclear Theory · Physics 2008-02-03 J. A. Oller , E. Oset

A combined analysis of data on isoscalar S-wave processes $\pi\pi\to\pi\pi,K\overline{K},\eta\eta$ and on decays $J/\psi\to\phi\pi\pi,\phi K\overline{K}$ from the DM2, Mark III and BESIII collaborations is performed to study $f_0$ mesons.…

High Energy Physics - Phenomenology · Physics 2015-06-05 Yu. S. Surovtsev , P. Bydzovsky , R. Kaminski , V. E. Lyubovitskij , M. Nagy

In this work we provide simple and precise parameterizations of the existing $\pi K$ scattering data from threshold up to 1.6 GeV, which are constrained to satisfy forward dispersion relations as well as three additional threshold sum…

High Energy Physics - Phenomenology · Physics 2016-04-27 J. R. Pelaez , A. Rodas

The generalized linear sigma model for mixing among two- and four-quark components of scalar (and psedudosclar) mesons below and above 1 GeV is applied to the $\pi\eta$ channel in which the isovector scalars $a_0(980)$ and $a_0(1450)$ are…

High Energy Physics - Phenomenology · Physics 2022-12-26 Amir H. Fariborz , Soodeh Zarepour , Esmaiel Pourjafarabadi , S. Mohammad Zebarjad

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
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