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The light pseudoscalar mesons play a twofold role: they may or have to be regarded both as low-lying bound states of the fundamental degrees of freedom of quantum chromodynamics as well as the (pseudo-) Goldstone bosons of the spontaneously…

High Energy Physics - Phenomenology · Physics 2015-10-21 Wolfgang Lucha , Franz F. Schöberl

It is found that in presence of electroweak interactions the gauge covariant diagonalization of the axial-vector -- pseudoscalar mixing in the effective meson Lagrangian leads to a deviation from the vector meson and the axial-vector meson…

High Energy Physics - Phenomenology · Physics 2018-12-26 A. A. Osipov , B. Hiller , P. M. Zhang

We consider an unsteady thermistor system with a p-Laplace type equation for the electrostatic potential.

Analysis of PDEs · Mathematics 2016-04-26 Joachim Naumann

This work is devoted to the global existence of weak solution for a general isothermal model of capillary fluids derived by C. Rohde, which can be used as a phase transition model. This article is structured in the following way: first of…

Analysis of PDEs · Mathematics 2008-03-14 Boris Haspot

The transition operator for the radiative capture of mesons mu minus by protons is constructed starting from a chiral Lagrangian of the N-pi-rho-a_1-omega system obtained within the approach of hidden local symmetries. The transition…

Nuclear Theory · Physics 2009-10-31 J. Smejkal , E. Truhlik , F. C. Khanna

A previous formal derivation of the effective chiral Lagrangian for low-lying pseudoscalar mesons from first-principles QCD without approximations [Wang et al., Phys. Rev. D61, (2000) 54011] is generalized to further include scalar, vector,…

High Energy Physics - Phenomenology · Physics 2017-04-19 Ke Ren , Hui-Feng Fu , Qing Wang

We prove existence of weak solutions (in the probabilistic sense) for a general class of stochastic semilinear wave equations on bounded domains of $R^d$ driven by a possibly discontinuous square integrable martingale.

Analysis of PDEs · Mathematics 2012-02-08 Carlo Marinelli , Lluís Quer-Sardanyons

An effective Hamiltonian consisting of bare $\Delta \leftrightarrow\pi N$, $\gamma N$ vertex interactions and energy-independent meson-exchange $\pi N \leftrightarrow \pi N, \gamma N$ transition operators is derived by applying a unitary…

Nuclear Theory · Physics 2019-08-17 T. Sato , T-. S. H. Lee

Ab initio calculations of the Gamow-Teller (GT) matrix elements in the $\beta$ decays of $^6$He and $^{10}$C and electron captures in $^7$Be are carried out using both variational and Green's function Monte Carlo wave functions obtained…

Nuclear Theory · Physics 2018-03-07 S. Pastore , A. Baroni , J. Carlson , S. Gandolfi , Steven C. Pieper , R. Schiavilla , R. B. Wiringa

We explore how chiral-symmetry constraints on weak-interaction matrix elements suggest the existence of an intermediate state sigma in several different weak-interaction processes. Particular attention is directed toward recent evidence for…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. Elias , A. D. Polosa , M. D. Scadron , N. A. Törnqvist

The lowest order chiral Lagrangian is used to study s-wave interactions of the baryon decuplet with the octet of pseudoscalar mesons. The coupled channel Bethe Salpeter equation is used to obtain dynamically generated $\tfrac{3}{2}^-$…

Nuclear Theory · Physics 2017-08-23 Sourav Sarkar , L. Roca , E. Oset , V. K. Magas , M. J. Vicente Vacas

In this paper we study a system of equations which appear in the modelling of many physical phenomena. Initially this system appeared in description of the large scale structure formation. Recently it is derived as a second order queueing…

Analysis of PDEs · Mathematics 2024-08-20 Kayyunnapara Divya Joseph

The Bethe-Salpeter Equation for a two-scalar, S-wave bound system, interacting through a massive scalar, is investigated within the ladder approximation. By assuming a Nakanishi integral representation of the Bethe-Salpeter amplitude, one…

High Energy Physics - Phenomenology · Physics 2014-02-10 Giovanni Salme` , Tobias Frederico , Michele Viviani

We propose quite a new method of analyzing the dynamical chiral symmetry breaking in gauge theories. Starting with the non-perturbative renormalization group equation for the Wilsonian fermion potential, we define the weak solution of it in…

High Energy Physics - Theory · Physics 2017-08-23 Ken-Ichi Aoki , Shin-Ichiro Kumamoto , Daisuke Sato

We consider a system of partial differential equations which describes steady flow of a compressible heat conducting chemically reacting gaseous mixture. We extend the result from Giovangigli, Pokorn\'y, Zatorska (2015) in the sense that we…

Analysis of PDEs · Mathematics 2016-12-19 Tomasz Piasecki , Milan Pokorny

We study the relations between low-energy constants (LECs) in the chiral Lagrangians with $\Delta(1232)$ and those in the quark-level description model up to the third chiral order. Ten structure correspondences are involved in getting the…

High Energy Physics - Phenomenology · Physics 2023-04-18 Jun Jiang , Shao-Zhou Jiang , Shi-Yuan Li , Yan-Rui Liu , Zong-Guo Si , Hong-Qian Wang

Corrections of order 1/m_Q (Q=b or c) to the Bethe-Salpeter (B-S) equation for \Lambda_Q are analyzed on the assumption that the heavy baryon \Lambda_Q is composed of a heavy quark and a scalar, light diquark. It is found that in addition…

High Energy Physics - Phenomenology · Physics 2010-02-17 X. -H. Guo , A. W. Thomas , A. G. Williams

The octet meson and baryon interaction with strangeness $S=-1$ is studied fully relativistically with chiral Lagrangian. In this work, a Bethe-Salpeter equation approach with spectator quasipotential approximation is applied to study the…

Nuclear Theory · Physics 2015-12-04 Jun He , Pei-Liang Lu

The Cahn-Hilliard equation is the most common model to describe phase separation processes of a mixture of two components. For a better description of short-range interactions of the material with the solid wall, various dynamic boundary…

Analysis of PDEs · Mathematics 2020-10-20 Harald Garcke , Patrik Knopf

We consider a semilinear wave equation involving a time-dependent structural damping term of the form $\displaystyle\frac{1}{{(1+t)}^{\beta}}(-\Delta)^{\sigma/2} u_t$. Our results show the influence of the parameters $\beta,\sigma$ on the…

Analysis of PDEs · Mathematics 2023-05-09 Mokhtar Kirane , Ahmad Fino , Sebti Kerbal , Aymen Laadhari