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We calculate upper and lower bounds on the modulus of the pion electro magnetic form factor on the unitarity cut below the $\omega\pi$ inelastic threshold, using as input the phase in the elastic region known via the Fermi-Watson theorem…

高能物理 - 唯象学 · 物理学 2012-10-26 B. Ananthanarayan , I. Caprini , Diganta Das , I. Sentitemsu Imsong

We present a determination of the pion charge radius from high precision data on the pion vector form factor from both timelike and spacelike regions, using a novel formalism based on analyticity and unitarity. At low energies, instead of…

高能物理 - 唯象学 · 物理学 2017-10-04 B. Ananthanarayan , Irinel Caprini , Diganta Das

The recently evaluated two-pion contribution to the muon g-2 and the phase of the pion electromagnetic form factor in the elastic region, known from \pi\pi scattering by Fermi-Watson theorem, are exploited by analytic techniques for finding…

高能物理 - 唯象学 · 物理学 2011-05-13 B. Ananthanarayan , Irinel Caprini , I. Sentitemsu Imsong

We extend recently developed methods used for determining the electromagnetic charge radius and $a_\mu^{\pi\pi}$ to obtain a determination of the electromagnetic form factor of the pion, $F_\pi^V(t)$, in several significant kinematical…

高能物理 - 唯象学 · 物理学 2019-01-02 B. Ananthanarayan , Irinel Caprini , Diganta Das

The two-pion contribution from low energies to the muon magnetic moment anomaly, although small, has a large relative uncertainty since in this region the experimental data on the cross sections are neither sufficient nor precise enough. It…

高能物理 - 唯象学 · 物理学 2014-02-24 B. Ananthanarayan , Irinel Caprini , Diganta Das , I. Sentitemsu Imsong

We use the recently measured accurate BaBaR data on the modulus of the pion electromagnetic form factor, $F_\pi(t)$, up to an energy of 3 GeV, the I=1 $P$-wave phase of the $\pi\pi$ scattering amplitude up to the $\omega-\pi$ threshold, the…

高能物理 - 唯象学 · 物理学 2012-06-20 I. Sentitemsu Imsong , B. Ananthanarayan , Irinel Caprini

We discuss a novel and simple parametrisation of the pion vector form factor that transparently connects spacelike and timelike regions of the momentum transfer $q^2$. Our parametrisation employs the framework of conformal mapping and…

高能物理 - 唯象学 · 物理学 2025-02-12 Matthew Kirk , Bastian Kubis , Méril Reboud , Danny van Dyk

The factorization theorem for exclusive processes in perturbative QCD predicts the behavior of the pion electromagnetic form factor $F(t)$ at asymptotic spacelike momenta $t(=-Q^2)<0$. We address the question of the onset energy using a…

高能物理 - 唯象学 · 物理学 2012-06-01 B. Ananthanarayan , Irinel Caprini , I. Sentitemsu Imsong

Using our present knowledge on effective hadronic theories, short-distance QCD information, the $1/N_C$ expansion, analyticity and unitarity, we derive an expression for the pion form factor, in terms of $m_\pi, m_K, M_\rho$ and $f_\pi$.…

高能物理 - 唯象学 · 物理学 2011-05-05 F. Guerrero , A. Pich

We have made the comparison of three parametrizations of the proton electromagnetic form factors in the space-like region using the largest data set on $e^{\pm} p$ elastic scattering ever used. All models have a correct analytical structure…

高能物理 - 唯象学 · 物理学 2016-11-23 V. V. Ezhela , B. V. Polishchuk

We show that we are able to extract the pion electromagnetic form factor by using the recent charged pion electroproduction data from JLab and a simple t-channel diagram. For this purpose we have performed the Q2-independent and dependent…

高能物理 - 唯象学 · 物理学 2009-01-22 T. Mart

The pion scalar form factor along with all existing S-wave iso-scalar $\pi\pi$-scattering phase shift data in the elastic region up to $1 {\rm GeV}^2$ are applied for a determination of the $f_0(500)$ and $f_0(980)$ meson parameters…

高能物理 - 唯象学 · 物理学 2014-12-10 S. Dubnicka , A. Z. Dubnickova , A. Liptaj

The problem of determining the pion electromagnetic formfactor $F(q^2)$ in the space-like region from the value of its modulus in the time-like region is solved by the formfactor analyticity. If $F(q^2)$has no zeroes in the complex plane…

高能物理 - 唯象学 · 物理学 2009-10-31 B. V. Geshkenbein

In this work, we analyze the electromagnetic structure of the pion. We calculate its electromagnetic radius and electromagnetic form factor in low and intermediate momentum range. Such observables are determined by means of a theoretical…

We present a lattice calculation of the vector form factor of the pion for two flavours of non-perturbatively O(a) improved Wilson fermions. For the measurements we utilise the CLS ensembles which include various lattice spacings and pion…

高能物理 - 格点 · 物理学 2011-09-02 Bastian B. Brandt , Andreas Juttner , Hartmut Wittig

We investigate the pion electromagnetic half off-shell form factors, which parametrize the matrix element of the charged pion electromagnetic current with one leg off-mass-shell and the other leg on-mass-shell, using an exactly solvable…

高能物理 - 唯象学 · 物理学 2020-01-01 Ho-Meoyng Choi , T. Frederico , Chueng-Ryong Ji , J. P. B. C. de Melo

We employ a dispersion relation that allows to recover the phase of the electromagnetic form factor of the pion from its absolute value above threshold. Compared to alternative approaches building on the phase, this approach builds on…

高能物理 - 唯象学 · 物理学 2024-07-29 Enrique Ruiz Arriola , Pablo Sanchez-Puertas

Motivated by the discrepancies noted recently between the theoretical calculations of the electromagnetic $\omega\pi$ form factor and certain experimental data, we investigate this form factor using analyticity and unitarity in a framework…

高能物理 - 唯象学 · 物理学 2014-12-19 B. Ananthanarayan , I. Caprini , B. Kubis

We present the current status of our lattice calculation of the electromagnetic form factor of the pion with two flavours of non-perturbatively O(a)-improved Wilson fermions. Using twisted boundary conditions and stochastic sources we…

高能物理 - 格点 · 物理学 2013-01-17 Bastian B. Brandt , Andreas Juttner , Hartmut Wittig

The electromagnetic pion form factor, $F_\pi(q^2)$, is calculated for spacelike-$q^2$ in impulse approximation using a confining quark propagator, $S$, and a dressed quark-photon vertex, $\Gamma_\mu$, obtained from realistic,…

高能物理 - 唯象学 · 物理学 2010-03-04 Craig D. Roberts
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