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Related papers: Quark mass dependence of the pion vector form fact…

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We study the light quark mass dependence of the f_0(600), kappa(800), rho(770) and K*(892) resonance parameters generated from elastic meson-meson scattering using unitarized one-loop Chiral Perturbation Theory. First, we show that it is…

High Energy Physics - Phenomenology · Physics 2010-04-14 J. Nebreda , J. R. Pelaez.

We calculate the electromagnetic form factor of the pion in quenched lattice QCD. The non-perturbatively improved Sheikoleslami-Wohlert lattice action is used together with the ${\mathcal O}(a)$ improved current. We calculate form factor…

High Energy Physics - Lattice · Physics 2009-11-10 Jan van der Heide

We use a version of the instant-form relativistic quantum mechanics of composite systems to obtain the gravitational form factors of the pion in a common approach to its electroweak and gravitational properties. In the preceding work…

High Energy Physics - Phenomenology · Physics 2022-09-16 A. F. Krutov , V. E. Troitsky

The pion structure function is investigated in a simple model, where the pion and its constituent quark fields are coupled through the simplest pseudoscalar coupling. The imaginary part of the forward gamma* pi -> gamma* pi scattering…

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

The suggestion of momentum dependence in the amplitude for rho-omega mixing has generated concern over related implications for vector meson dominance and the photon-rho coupling. We discuss two established representations of vector meson…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. B. O'Connell , B. C. Pearce , A. W. Thomas , A. G. Williams

The pseudoscalar ``hairpin'' vertex (i.e. quark-disconnected vertex) plays a key role in quenched chiral perturbation theory. Direct calculations using lattice simulations find that it has a significant dependence on quark mass. I show that…

High Energy Physics - Lattice · Physics 2009-11-10 Stephen R. Sharpe

We perform a non-perturbative lattice calculation of the P-wave pion-pion scattering phase in the rho-meson decay channel using two flavors of maximally twisted mass fermions at pion masses ranging from 480 MeV to 290 MeV. Making use of…

High Energy Physics - Lattice · Physics 2015-03-17 Xu Feng , Karl Jansen , Dru B. Renner

We calculate pion vector and scalar form factors in two-flavor lattice QCD and study the chiral behavior of the vector and scalar radii <r^2>_{V,S}. Numerical simulations are carried out on a 16^3 x 32 lattice at a lattice spacing of 0.12…

High Energy Physics - Lattice · Physics 2012-08-27 JLQCD , TWQCD collaborations , : , S. Aoki , T. W. Chiu , H. Fukaya , S. Hashimoto , T. H. Hsieh , T. Kaneko , H. Matsufuru , J. Noaki , T. Onogi , E. Shintani , N. Yamada

We consider the quark-meson-model in a finite three-dimensional volume using the Schwinger proper-time renormalization group. We derive and solve the flow equations for finite volume in local potential approximation. In order to break…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. Braun , B. Klein , H. -J. Pirner

We calculate the lower moments of the deep-inelastic structure functions of the pion and the rho meson on the lattice. Of particular interest to us are the spin-dependent structure functions of the rho. The calculations are done with Wilson…

High Energy Physics - Lattice · Physics 2008-11-26 C. Best , M. Göckeler , R. Horsley , E. -M. Ilgenfritz , H. Perlt , P. Rakow , A. Schäfer , G. Schierholz , A. Schiller , S. Schramm

I discuss the properties of pions in ``partially quenched'' theories, i.e. those in which the valence and sea quark masses, $m_V$ and $m_S$, are different. I point out that for lattice fermions which retain some chiral symmetry on the…

High Energy Physics - Lattice · Physics 2014-11-17 Stephen R. Sharpe

In planar QCD, in two space time dimensions, the meson eigenvalue equation has a nonlocal structure interpretable as resulting from hidden degrees of freedom. The nonlocality can be reconstructed from the functional form of the pion mass…

High Energy Physics - Lattice · Physics 2010-04-05 R. Narayanan , H. Neuberger

The electromagnetic form factor of the pion is calculated in the "point-form" of relativistic quantum mechanics using simple, phenomenological wave functions. It is found that the squared charge radius of the pion is predicted one order of…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. Amghar , B. Desplanques , L. Theussl

Based on an effective chiral theory of mesons the dependences of $\rho-\omega$ mixing and the vertex $\omega\pi\pi$ on $m_d-m_u$ are found. The form factor of pion agrees with data in both space- and time-like regions. CVC is satisfied. The…

High Energy Physics - Phenomenology · Physics 2014-11-17 Bing An Li , Jian Xiong Wang

In a recent investigation of chiral behavior in quenched lattice QCD, the flavor-singlet pseudoscalar ``hairpin'' vertex associated with the eta prime mass was studied for pion masses ranging from approximately 275 to 675 MeV. Throughout…

High Energy Physics - Lattice · Physics 2009-11-10 W. Bardeen , E. Eichten , H. Thacker

The quark-mass dependence of the $N^*(920)$ pole is analyzed using $K$-matrix method, with the $\pi N$ scattering amplitude calculated up to $O(p^3)$ order in chiral perturbation theory. As the quark mass increases, the $N^*(920)$ pole…

High Energy Physics - Phenomenology · Physics 2025-12-12 Xu Wang , Kai-Ge Kang , Qu-Zhi Li , Zhiguang Xiao , Han-Qing Zheng

We consider the pion structure in the region of low and moderately high momentum transfers: at low $Q^2$, the pion is treated as a composite system of constituent quarks; at moderately high momentum transfers, $Q^2=10\div25\;GeV^2$, the…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. Anisovich , D. Melikhov , V. Nikonov

We present a study of the dressed quark mass function and the pion structure in Minkowski space using the Covariant Spectator Theory. The quark propagators are dressed with the same kernel that describes the interaction between different…

High Energy Physics - Phenomenology · Physics 2014-03-25 Elmar P. Biernat , Franz Gross , M. T. Peña , Alfred Stadler

We study $e^+e^-\to\pi^+\pi^-$ cross section and phase shift of $I=l=1$ $\pi-\pi$ scattering below 1GeV in framework of chiral constituent quark model. The results including all order contribution of the chiral perturbation expansion and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiao-Jun Wang , Mu-Lin Yan

The dependence of the nuclear force on standard model parameters plays an important role in bounding time and space variations of fundamental couplings over cosmological time scales. We discuss the quark-mass dependence of deuteron and…

High Energy Physics - Phenomenology · Physics 2014-11-17 Silas R. Beane , Martin J. Savage