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We solve the two-component Dirac equation in the presence of a spatially one dimensional symmetric cusp potential. We compute the scattering and bound states solutions and we derive the conditions for transmission resonances as well as for…

High Energy Physics - Theory · Physics 2009-11-10 Victor M. Villalba , Walter Greiner

In this paper, a novel theoretical scheme is presented to investigate resonant levels in weakly bound nuclear systems by the use of isospectral potentials. In this scheme, a new potential is constructed which is strictly isospectral with…

Nuclear Theory · Physics 2020-10-06 Mahamadun Hasan , Shamim Haque Mondal , Murshid Alam , Tasrief Surungan , Md Abdul Khan

This presentation opens with a brief review of lattice QCD calculations showing the $2s$ radial excitation of the nucleon sits at approximately 2 GeV, well above the Roper resonance position. We then proceed to reconcile this observation…

We study the low energy part of the nucleon and $\Delta$ spectra by solving the Schr\"{o}dinger equation for the three-quark system in the hyperspherical harmonic approach. The quark-quark hamiltonian considered includes, besides the usual…

Nuclear Theory · Physics 2011-04-15 A. Valcarce , F. Fernandez , P. Gonzalez , V. Vento

We establish the precise relation between the integral kernel of the scattering matrix and the resonance in the massless Spin-Boson model which describes the interaction of a two-level quantum system with a second-quantized scalar field.…

Mathematical Physics · Physics 2019-10-21 Miguel Ballesteros , Dirk-André Deckert , Felix Hänle

We solve the two-component Dirac equation in the presence of a spatially one dimensional symmetric attractive cusp potential. The components of the spinor solution are expressed in terms of Whittaker functions. We compute the bound states…

High Energy Physics - Theory · Physics 2008-11-26 Victor M. Villalba , Luis A. Gonzalez-Diaz

The non-localized cluster model provides a new perspective on nuclear cluster effects and has been applied successfully to study cluster structures in various bound states and quasi-bound states (i.e., long-lived resonant states). In this…

Nuclear Theory · Physics 2020-04-22 Dong Bai , Zhongzhou Ren

A preliminary investigation of the anti-K N interaction is performed within a chiral constituent quark model by solving the resonating group method (RGM) equation. The model parameters are taken from our previous work, which gave a…

Nuclear Theory · Physics 2007-08-10 F. Huang , W. L. Wang , Z. Y. Zhang , Y. W. Yu

This letter presents the first lattice QCD computation of the coupled channel $\pi\Sigma-\bar{K}N$ scattering amplitudes at energies near $1405\,{\rm MeV}$. These amplitudes contain the resonance $\Lambda(1405)$ with strangeness $S=-1$ and…

We review ideas and speculations concerning possible bound states or resonances coupled to the nucleon-antinucleon channel.

Nuclear Theory · Physics 2009-10-31 Jean-Marc Richard

We conduct a dynamical calculation of pentaquark systems with quark contents $sssu\bar{u}$ in the framework of two quark models: the chiral quark model(ChQM) and quark delocalization color screening model(QDCSM). The effective potentials…

High Energy Physics - Phenomenology · Physics 2021-02-10 Xuejie Liu , Hongxia Huang , Jialun Ping , Dianyong Chen

We revisit the short-range baryon-baryon potentials in the flavor SU(3) sector, using the constituent quark model. We employ the color Coulomb, linear confining, and color magnetic forces between two constituent quarks, and solve the…

Nuclear Theory · Physics 2023-11-10 Takayasu Sekihara , Taishi Hashiguchi

In the framework of the quark delocalization color screening model (QDCSM), we systematically investigate the double-charm and double-strange tetraquark systems $cc\bar{s}\bar{s}$ with two structures: meson-meson and diquark-antidiquark.…

High Energy Physics - Phenomenology · Physics 2021-12-14 Yuheng Wu , Xin Jin , Runxin Liu , Hongxia Huang , Jialun Ping

Coupled-channel $\pi K$ and $\eta K$ scattering amplitudes are determined by studying the finite-volume energy spectra obtained from dynamical lattice QCD calculations. Using a large basis of interpolating operators, including both those…

High Energy Physics - Phenomenology · Physics 2015-03-18 David J. Wilson , Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas

We introduce the hypothesis that diquarks and antidiquarks in tetraquarks are separated by a potential barrier. We show that this notion can answer satisfactorily long standing questions challenging the diquark-antidiquark model of exotic…

High Energy Physics - Phenomenology · Physics 2018-02-01 L. Maiani , A. D. Polosa , V. Riquer

We study $I=3/2$ elastic $K\pi $ scattering to Born order using nonrelativistic quark wavefunctions in a constituent-exchange model. This channel is ideal for the study of nonresonant meson-meson scattering amplitudes since s-channel…

High Energy Physics - Phenomenology · Physics 2009-10-22 T. Barnes , E. S. Swanson , J. Weinstein

In this article, we solve the Duffin--Kemmer--Petiau (DKP) equation in the presence of the cusp potential for spin--one particles. We derived the scattering solutions and calculated the bound states in terms of the Whittaker functions. We…

Quantum Physics · Physics 2024-05-22 Vicente A. Arévalo , Sebastián Valladares , Clara Rojas

The electromagnetic excitation of the nucleon resonances is studied in the framework of Constituent Quark Models. Particular attention is devoted to the transition to the $\Delta$ resonance and to the issue of a possible deformation of…

Nuclear Theory · Physics 2015-06-22 M. M. Giannini

Quantum dynamics of a collection of atoms subjected to phase modulation has been carefully revisited. We present an exact analysis of the evolution of a two-level system (represented by a spinor) under the action of a time-dependent matrix…

Quantum Physics · Physics 2024-11-20 Rahul Gupta , Manan Jain , Sudhir R. Jain

We study the nucleon and diquarks in a non-local Nambu-Jona-Lasinio model. For certain parameters the model exhibits quark confinement, in the form of a propagator without real poles. After truncation of the two-body channels to the scalar…

High Energy Physics - Phenomenology · Physics 2009-11-10 Amir H. Rezaeian , Niels R. Walet , Michael C. Birse