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We calculate the electromagnetic form factors of the nucleon up to fourth order in manifestly Lorentz-invariant chiral perturbation theory with vector mesons as explicit degrees of freedom. A systematic power counting for the renormalized…

Nuclear Theory · Physics 2015-06-26 Matthias R. Schindler , Jambul Gegelia , Stefan Scherer

The complete renormalization of the generating functional for Green functions of quark currents between one-nucleon states in two flavor heavy baryon chiral perturbation theory is performed to order $q^4$. We show how the heat kernel method…

High Energy Physics - Phenomenology · Physics 2009-10-31 Ulf-G. Meißner , Guido Müller , Sven Steininger

We investigate the isovector axial vector and pseudoscalar form factors of $\Delta$ baryon by employing light-cone QCD sum rules. Numerical calculations show that the form factors can be well fitted by the exponential form. We make a…

High Energy Physics - Phenomenology · Physics 2015-06-22 A. Kucukarslan , U. Ozdem , A. Ozpineci

We propose an improved quark coalescence model for spin alignment of vector mesons and polarization of baryons by spin density matrix with phase space dependence. The spin density matrix is defined through Wigner functions. Within the model…

Nuclear Theory · Physics 2020-09-16 Xin-Li Sheng , Qun Wang , Xin-Nian Wang

We study selected meson transition processes and associated form factors within a model of QCD based on the Dyson--Schwinger equations truncated to ladder-rainbow level. The infrared structure of the ladder-rainbow kernel is described by…

Nuclear Theory · Physics 2009-11-07 P. Maris , P. C. Tandy

The relativistic interacting quark-diquark model of baryons, recently developed, is here extended to introduce a spin-isospin transition interaction into the mass operator. The refined version of the model is used to calculate the non…

High Energy Physics - Phenomenology · Physics 2016-08-02 M. De Sanctis , J. Ferretti , E. Santopinto , A. Vassallo

In this two part series a chiral confining model of baryons is used to describe low--lying negative parity resonances $N^*$, $\Delta^*$, $\Lambda^*$ and $\Sigma^*$ in the mean field approximation. A physical baryon in this model consists of…

Nuclear Theory · Physics 2007-05-23 Y. Umino , M. K. Banerjee

We establish exact relations between relativistic form factors and amplitudes for single-baryon processes and the corresponding quantities calculated in the framework of heavy baryon chiral perturbation theory. A crucial ingredient for the…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Ecker , M. Mojzis

The cross sections for photo- and pion-induced production of baryon resonances and their partial decay widths to the two--body and multi--body final states are calculated in the framework of the operator expansion method. The approach is…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. V. Anisovich , A. V. Sarantsev

Inversions of rotational splittings have shown that the surface layers and the so-called solar tachocline at the base of the convection zone are regions in which high radial gradients of the rotation rate occur. The usual regularization…

Astrophysics · Physics 2013-08-01 T. Corbard , G. Berthomieu , J. Provost , L. Blanc-Féraud

A symmetry-preserving continuum approach to the calculation of baryon properties in relativistic quantum field theory is used to predict all form factors associated with nucleon-to-$\Delta$ axial and pseudoscalar transition currents,…

High Energy Physics - Phenomenology · Physics 2023-12-22 Chen Chen , Christian S. Fischer , Craig D. Roberts

In this work we extend our formalism to study meson-baryon interactions by including $s$- and $u$-channel diagrams for pseudoscalar-baryon systems. We study the coupled systems with strangeness $-1$ and focus on studying the isospin-1…

High Energy Physics - Phenomenology · Physics 2020-02-21 K. P. Khemchandani , A. Martinez Torres , J. A. Oller

The inverse-amplitude method is applied to the one-loop chiral expansion of the pion, kaon, and $K_{l3}$ form factors. Since these form factors are determined by the same chiral low-energy constants, it is possible to obtain finite…

High Energy Physics - Phenomenology · Physics 2014-11-17 Torben Hannah

A central objective in inverse problems arising in integral geometry is to understand the kernel characterization, inversion formulas, stability estimates, range characterization, and unique continuation properties of integral transforms.…

Analysis of PDEs · Mathematics 2026-03-31 Rohit Kumar Mishra , Chandni Thakkar

Two aspects of isospin breaking in the decay $K^\pm \to \pi^0 \pi^0 e^\pm \stackrel{_{(-)}}{\nu_e}$ are studied and discussed. The first addresses the possible influence of the phenomenological description of the unitarity cusp on the…

High Energy Physics - Phenomenology · Physics 2015-01-29 Véronique Bernard , Sébastien Descotes-Genon , Marc Knecht

We analyze the axial-vector form factors of the nucleon-hyperon system in a model with SU(3)$_{\text{flavor}}$ symmetry breaking due to mass dependent quark spin polarizations. This mass dependence is deduced from an analysis of magnetic…

High Energy Physics - Phenomenology · Physics 2009-10-31 Johan Linde , Hakan Snellman

A model of dynamic orientation using optimized radiofrequency (RF) irradiation produced perpendicular to the holding field is developed for the spin-1 system required for tensor-polarized fixed-target experiments. The derivation applies to…

Nuclear Theory · Physics 2017-07-25 Dustin Keller

We analyze the effective low--energy field theory of Goldstone bosons and baryons chirally coupled to massive spin--1 fields. We use the electromagnetic baryon form factors to demonstrate the formal equivalence between the vector and the…

High Energy Physics - Phenomenology · Physics 2015-06-25 B. Borasoy , Ulf-G. Meißner

The self-consistent chiral soliton of the Nambu--Jona-Lasinio model including the $\omega,\rho$ and $a_1$ (axial-) vector meson fields besides the chiral angle is investigated. The resulting energy spectrum of the one particle Dirac…

High Energy Physics - Phenomenology · Physics 2008-11-26 U. Zückert , R. Alkofer , H. Reinhardt , H. Weigel

The meson (pion and kaon) form factor is calculated in the perturbative framework with alternative forms for the running coupling constant and the gluon propagator in the infrared kinematic region. These modified forms are employed to test…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. B. Gay Ducati , W. K. Sauter