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We point out a misleading treatment in the literature regarding to bound-state solutions for the $s$-wave Klein-Gordon equation with exponential scalar and vector potentials. Following the appropriate procedure for an arbitrary mixing of…

High Energy Physics - Theory · Physics 2019-07-25 Elvis J. Aquino Curi , Luis B. Castro , Antonio S. de Castro

We evaluate the s-wave interaction of pseudoscalar and vector mesons with both charm and beauty to investigate the possible existence of molecular $BD$, $B^*D$, $BD^*$, $B^*D^*$, $B\bar D$, $B^*\bar D$, $B\bar D^*$ or $B^* \bar D^*$ meson…

High Energy Physics - Phenomenology · Physics 2017-10-04 S. Sakai , L. Roca , E. Oset

A recently proposed method based on dispersion theory, that allows to extract the scattering length of a hadronic two-body system from corresponding final-state interactions, is generalized to the situation where the Coulomb interaction is…

Nuclear Theory · Physics 2009-11-11 A. Gasparyan , J. Haidenbauer , C. Hanhart

A new derivation is given for the representation, under certain conditions, of the integral dispersion relations of scattering theory through local forms. The resulting expressions have been obtained through an independent procedure to…

Mathematical Physics · Physics 2014-03-25 Erasmo Ferreira , Javier Sesma

In the present work, which aims at searching for bound sates, the interactions of the $D$-multi-$\rho$ systems are investigated by means of the formalism of the fixed-center-approximation to Faddeev equations. Reproducing the states of $f_2…

High Energy Physics - Phenomenology · Physics 2017-09-20 C. W. Xiao

The energies and widths of several D^0 meson bound states for different nuclei are obtained using a D-meson selfenergy in the nuclear medium, which is evaluated in a selfconsistent manner using techniques of unitarized coupled-channel…

Nuclear Theory · Physics 2014-11-20 C. Garcia-Recio , J. Nieves , L. Tolos

We produce an explicit formula for the dispersion relation for the Dirac Equation in the Standard Model Extension (SME) in the presence of Lorentz violation. Our expression is obtained using a novel techniques which exploit the algebra of…

High Energy Physics - Phenomenology · Physics 2015-05-18 Don Colladay , Patrick McDonald , David Mullins

We study the correlation functions of the $B^0 D^+, B^+ D^0$ system, which develops a bound state of approximately $40$ MeV, using inputs consistent with the $T_{cc}(3875)$ state. Then we address the inverse problem starting from these…

High Energy Physics - Phenomenology · Physics 2024-03-29 Hai-Peng Li , Jing-Yu Yi , Chu-Wen Xiao , De-Liang Yao , Wei-Hong Liang , Eulogio Oset

We review various applications of dispersion relations (DRs) to the electromagnetic structure of hadrons. We discuss the way DRs allow one to extract information on hadron structure constants by connecting information from complementary…

High Energy Physics - Phenomenology · Physics 2018-07-04 B. Pasquini , M. Vanderhaeghen

We highlight the non-universality of the asymptotic behavior of dispersion forces, such that a sum of inverse sixth power contributions is often inadequate. We analytically evaluate the cross-correlation energy Ec between two pi-conjugated…

Soft Condensed Matter · Physics 2013-05-29 John F. Dobson , Angel Rubio

Deeply Virtual Compton Scattering and electroproduction of mesons involve amplitudes that are analytic in energy. Analyticity enables Dispersion Relations (DR's) for such amplitudes, relating real and imaginary parts. Lately it has been…

High Energy Physics - Phenomenology · Physics 2009-08-18 Gary R. Goldstein , Simonetta Liuti

Extending a recent suggestion for hyperon form factors to the nucleon case, dispersion theory is used to relate the low-energy vector-isovector form factors of the nucleon to the pion vector form factor. The additionally required input,…

High Energy Physics - Phenomenology · Physics 2018-02-14 Stefan Leupold

The Bethe-Salpeter equation for the T-Matrix of D-D* scattering is solved with a meson-meson potential that results from 2nd order Born approximation of quark exchange processes. This potential turns out to be complex and energy dependent…

High Energy Physics - Phenomenology · Physics 2012-09-20 Carlos Pena , David Blaschke

We present a once-subtracted dispersion relation (DR) formalism for the virtual Compton scattering (VCS) process from threshold up to the $\Delta(1232)$ energy region. The formalism aims at extracting the nucleon's electric and magnetic…

High Energy Physics - Phenomenology · Physics 2026-03-11 I. Danilkin , B. Pasquini , M. Ronchi , M. Vanderhaeghen

Dispersion interactions such as the van der Waals interaction between atoms or molecules derive from quantum fluctuations of the electromagnetic field and can be understood as the exchange of virtual photons between the interacting…

Quantum Physics · Physics 2015-06-11 Harald R. Haakh , Stefan Scheel

SN 1987A observations have been used to place constraints on the interactions between standard model particles and unparticles. In this study we calculate the energy loss from the supernovae core through scalar, pseudo scalar, vector,…

High Energy Physics - Phenomenology · Physics 2008-11-26 Sukanta Dutta , Ashok Goyal

In this talk we present a short review of recent developments concerning the interaction of vector mesons with baryons and with nuclei. We begin with the hidden gauge formalism for the interaction of vector mesons, then review results for…

Nuclear Theory · Physics 2012-03-22 E. Oset , A. Ramos , E. J. Garzon , P. Gonzalez , J. J. Xie , A. Martinez Torres , L. Tolos , R. Molina , C. W. Xiao

We discuss a model-independent estimator of the likelihood of the compositeness of a shallow S-wave bound or virtual state. The approach is based on an extension of Weinberg's relations in Phys. Rev. 137, B672 (1965) and it relies only on…

High Energy Physics - Phenomenology · Physics 2022-08-24 M. Albaladejo , J. Nieves

The density dependent hadron field (DDRH) theory, previously applied to isospin nuclei and hypernuclei is used to describe $\beta$-stable matter and neutron stars under consideration of the complete baryon octet. The meson-hyperon vertices…

Nuclear Theory · Physics 2009-11-06 F. Hofmann , C. M. Keil , H. Lenske

We discuss a numerical method for convection-diffusion-reaction problems with a free boundary in 1D. The method is based on the numerical modelling of the interface evolution, the transformation to a fixed domain problem and the…

Numerical Analysis · Mathematics 2009-09-03 Gabriela Kacurova