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In this work, the role of the $\Delta ^{\ast }$ resonances in the process of $pp\rightarrow nK^{+}\Sigma ^{+}$ are systematically investigated with the effective Lagrangian approach and the isobar model. We find that a $P_{31}$ state,…

Nuclear Theory · Physics 2015-11-13 Xiao-Yun Wang , Xu Cao , Ju-Jun Xie , Xu-Rong Chen

We establish the uniqueness of the higher radial bound state solutions of $$ \Delta u +f(u)=0,\quad x\in \RR^n. \leqno(P) $$ We assume that the nonlinearity $f\in C(-\infty,\infty)$ is an odd function satisfying some convexity and growth…

Analysis of PDEs · Mathematics 2015-05-18 Carmen Cortazar , Marta Garcia-Huidobro , Cecilia Yarur

Within fixed-t dispersion relations the results of new VPI partial-wave analysis for the multipole amplitudes $M_{1+}^{3/2},E_{1+}^{3/2}$ are successfuly described, and the resonance and nonresonance contributions into these amplitudes are…

High Energy Physics - Phenomenology · Physics 2007-05-23 I. G. Aznauryan

In this work we evaluate the imaginary part of the isobar $\Delta$ self-energy $\Sigma_{\Delta}$ from the two-body absorption process $\Delta+N\rightarrow 2N$. This contribution is calculated using a recently developed non-relativistic…

Nuclear Theory · Physics 2008-11-26 M. Hjorth-Jensen , H. Müther , A. Polls

The GDH sum rule is discussed for the Delta(1232) resonance. It is shown that apart from ordinary excitations to higher-energy states, the sum rule contains a large negative contribution due to de-excitation into the nucleon state.…

Nuclear Theory · Physics 2017-08-23 A. I. L'vov

The stationary nonlinear Schroedinger equation, or Gross-Pitaevskii equation, is studied for the cases of a single delta potential and a delta-shell potential. These model systems allow analytical solutions, and thus provide useful insight…

Quantum Physics · Physics 2009-11-10 D. Witthaut , S. Mossmann , H. J. Korsch

Data of the Crystal Barrel and L3 collaborations clarified essentially the situation in the $2^{++}$ sector in the mass region up to 2400 MeV, demonstrating the linearity of $(n,M^2)$ trajectories, where $n$ is the radial quantum number of…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. V. Anisovich , M. A. Matveev , J. Nyiri , A. V. Sarantsev

Using an interaction extracted from the local hidden gauge Lagrangians, which brings together vector and pseudoscalar mesons, and the coupled channels $\rho N$ (s-wave), $\pi N$ (d-wave), $\pi \Delta$ (s-wave) and $\pi \Delta$ (d-wave), we…

High Energy Physics - Phenomenology · Physics 2013-05-22 E. J. Garzon , J. J. Xie , E. Oset

A study of three-pseudoscalar $\pi K \bar{K}$ and $\pi \pi \eta$ coupled system is made by solving the Faddeev equations within an approach based on unitary chiral dynamics. A resonance with total isospin one and spin-parity $J^\pi = 0^-$…

Nuclear Theory · Physics 2015-05-28 A. Martínez Torres , K. P. Khemchandani , D. Jido , A. Hosaka

By converting the rectangular basis potential V(x,y) into the form as V(r)+V(r, phi) described by the pseudo central plus noncentral potential, particular solutions of the two dimensional Schrodinger equation in plane-polar coordinates have…

Quantum Physics · Physics 2011-09-06 Metin Aktas

In this Letter the bound states of (2+1) Dirac equation with the cylindrically symmetric $\delta (r-r_{0})$-potential are discussed. It is surprisingly found that the relation between the radial functions at two sides of $r_{0}$ can be…

Quantum Physics · Physics 2007-05-23 Shi-Hai Dong , Zhong-Qi Ma

We have investigated the $qss\bar{q}q$ ($q = u$ or $d$) system to find possible pentaquark explanations for the $\Xi$ resonances. The bound state calculation is carried out within the framework of the quark delocalization color screening…

High Energy Physics - Phenomenology · Physics 2024-04-24 Ye Yan , Qi Huang , Xinmei Zhu , Hongxia Huang , Jialun Ping

It is shown from a very general model and an analysis of data on the lightest 0++ meson nonet that the f0(980) and f0(1200) resonance poles are two manifestations of the same ss state. Similarily the a0(980) and the a0(1450) are likely to…

High Energy Physics - Phenomenology · Physics 2008-11-26 Nils A. Tornqvist , Matts Roos

We have considered the following semi linear elliptic problem on the unit disk $B$ $-\Delta u = \lambda_1 u+e^u+f $ in $B$ with the Dirichlet boundary condition and $f$ satisfying the following condition : $f\in L^r(B)$, for some $r>2$ and…

Analysis of PDEs · Mathematics 2016-05-10 B. B. Manna , P. N. Srikanth

Using 13.5 inverse fb of e+e- annihilation data collected with the CLEO II detector we have observed a narrow resonance in the Ds*+pi0 final state, with a mass near 2.46 GeV. The search for such a state was motivated by the recent discovery…

High Energy Physics - Experiment · Physics 2014-11-17 D. Besson

Very recently the BaBar collaboration has put forward a claim that the X(3872) is not a 1^++ resonance, as most of the phenomenological work on the subject was relying on, but rather a 2^-+ one. We examine the consequences of this quantum…

High Energy Physics - Phenomenology · Physics 2014-11-21 T. J. Burns , F. Piccinini , A. D. Polosa , C. Sabelli

We report a partial-wave analysis of new data on the double-polarization variable $E$ for the reactions $\gamma p\to \pi^+ n$ and $\gamma p\to \pi^0 p$ and of further data published earlier. The analysis within the Bonn-Gatchina (BnGa)…

Nuclear Experiment · Physics 2017-02-23 A. V. Anisovich , V. Burkert , J. Hartmann , E. Klempt , V. A. Nikonov , E. Pasyuk , A. V. Sarantsev , S. Strauch , U. Thoma

We discuss how experiments measuring B -> pi pi and B -> rho rho may be used to search for a Delta I = 5/2 amplitude component. This component could be the explanation for a recent (albeit very tentative) hint from B(Bbar) -> rho rho decays…

High Energy Physics - Phenomenology · Physics 2014-11-18 F. J. Botella , David London , Joao P. Silva

We study the $N \pi K$ system in order to investigate the possibility of existence of strangeness +1 resonance(s). The formalism consists of solving the Faddeev equations with the $N \pi$, $\pi K $ and $K N$ $t$-matrices obtained from…

Nuclear Theory · Physics 2015-05-13 K. P. Khemchandani , A. Martínez Torres , E. Oset

The Fixed Center Approximation to the Faddeev equations (FCA) has been used lately with success in the study of bound systems of three hadrons. It is also important to set the limits of the approach in those problems to prevent…

High Energy Physics - Phenomenology · Physics 2015-03-17 A. Martínez Torres , E. J. Garzon , E. Oset , L. R. Dai