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The behaviour of an Efimov excited state is studied within a three-body Faddeev formalism for a general neutron-neutron-core system, where neutron-core is bound and neutron-neutron is unbound, by considering zero-ranged as well as…

Nuclear Theory · Physics 2016-09-14 M. A. Shalchi , M. R. Hadizadeh , M. T. Yamashita , Lauro Tomio , T. Frederico

We report the first study of the nucleon where the full Poincare-covariant structure of the three-quark amplitude is implemented in the Faddeev equation. We employ an interaction kernel which is consistent with contemporary studies of meson…

High Energy Physics - Phenomenology · Physics 2014-07-24 G. Eichmann , R. Alkofer , A. Krassnigg , D. Nicmorus

This paper presents an analysis of the positron capture by a neutron reaction, which is just the inverse of the well-known neutrino capture by a proton reaction. The effect of the QED radiative corrections is investigated. In particular,…

High Energy Physics - Phenomenology · Physics 2013-05-30 Mikhail Khankhasayev , Carol Scarlett

We analyse the impact of the statistical uncertainties of the the nucleon-nucleon interaction, based on the Granada-2013 np-pp database, on the binding energies of the triton and the alpha particle using a bootstrap method, by solving the…

Nuclear Theory · Physics 2016-11-03 R. Navarro Perez , A. Nogga , J. E. Amaro , E. Ruiz Arriola

The three-nucleon bound state problem is studied employing a nucleon-nucleon potential obtained from a basic quark-quark interaction in a five-channel Faddeev calculation. The obtained triton binding energy is comparable to those predicted…

High Energy Physics - Phenomenology · Physics 2016-08-16 B. Juliá-Díaz , J. Haidenbauer , A. Valcarce , F. Fernández

We consider the following equations: \begin{equation*} \left\{\begin{array}{ll} (-\triangle)^{\alpha/2}u(x)=f(v(x)), \\ (-\triangle)^{\beta/2}v(x)=g(u(x)), &x \in R^{n},\\ u,v\geq 0, &x \in R^{n}, \end{array} \right. \end{equation*} for…

Analysis of PDEs · Mathematics 2017-03-10 Yan Li , Pei Ma

The three-nucleon photodisintegration of 3He has been calculated in the whole phase space using consistent Faddeev equations for the three-nucleon bound and scattering states. Modern nucleon-nucleon and 3N forces have been applied as well…

Nuclear Theory · Physics 2009-11-10 R. Skibinski , J. Golak , H. Witala , W. Glockle , H. Kamada , A. Nogga

The variational method in a reformulated Hamiltonian formalism of Quantum Electrodynamics is used to derive relativistic wave equations for systems consisting of n fermions and antifermions of various masses. The derived interaction kernels…

Quantum Physics · Physics 2015-06-17 Mohsen Emami-Razavi , Nantel Bergeron , Jurij W. Darewych

The Complex Energy Method [Prog. Theor. Phys. {\bf 109}, 869L (2003)] is applied to the 4-body Faddeev-Yakubovsky equations in the 4-nucleon system. We obtain a well converged solution in all energy regions below and above the 4-nucleon…

Nuclear Theory · Physics 2009-11-10 E. Uzu , H. Kamada , Y. Koike

We present a perturbative approach to solving the three-nucleon continuum Faddeev equation. This approach is particularly well suited to dealing with variable strengths of contact terms in a chiral three-nucleon force. We use examples of…

Nuclear Theory · Physics 2021-05-26 H. Witała , J. Golak , R. Skibiński , K. Topolnicki

As known, some approximate approaches to the hadron scattering from nuclei work rather well far beyond the limits of their applicability. This was explained by cancellation of the contributions (non-adiabatic and off-shell effects) omitted…

Nuclear Theory · Physics 2023-06-28 O. D. Dalkarov , V. A. Karmanov , E. A. Kupriyanova

Inspired by factorized scattering from delta-type impurities in (1+1)-dimensional space-time, we propose and analyse a generalization of the Zamolodchikov-Faddeev algebra. Distinguished elements of the new algebra, called reflection and…

High Energy Physics - Theory · Physics 2008-11-26 M. Mintchev , E. Ragoucy , P. Sorba

The general, universal formalism for semi-inclusive charged-current (anti)neutrino-nucleus reactions is given for studies of any hadronic system, namely, either nuclei or the nucleon itself. The detailed developments are presented with the…

High Energy Physics - Theory · Physics 2015-04-15 O. Moreno , T. W. Donnelly , J. W. Van Orden , W. P. Ford

We present a general method for incorporating the electromagnetic interaction into descriptions of hadronic processes based on four-dimensional scattering integral equations. The method involves the idea of gauging the scattering equations…

Nuclear Theory · Physics 2009-10-30 A. N. Kvinikhidze , B. Blankleider

The description of the three-nucleon system in terms of nucleon and $\Delta$ degrees of freedom is extended to allow for explicit pion production (absorption) from single dynamic $\Delta$ de-excitation (excitation) processes. This mechanism…

Nuclear Theory · Physics 2008-11-26 M. T. Peña , P. U. Sauer , A. Stadler , G. Kortemeyer

This paper presents a general formulation of equations of motion of a pendulum with n point mass by use of two different methods. The first one is obtained by using Lagrange Mechanics and mathematical induction(inspection), and the second…

Classical Physics · Physics 2020-02-11 Boran Yesilyurt

A Hamiltonian (model operator) $H$ associated to a quantum system describing three particles in interaction, without conservation of the number of particles, is considered. The Faddeev type system of equations for eigenvectors of $H$ is…

Mathematical Physics · Physics 2010-06-01 Mukhiddin I. Muminov , Tulkin H. Rasulov

The cluster $^4\rm He+\Lambda+\rm n$ model is applied to describe the $^6_\Lambda$He hypernucleus. The consideration is based on the configuration space Faddeev equations for a system of non-identical particles. A set of the pair potentials…

Nuclear Theory · Physics 2014-03-05 I. Filikhin , V. M. Suslov , B. Vlahovic

The Faddeev technique is employed to study the influence of both particle-particle and particle-hole phonons on the one-hole spectral function of 16O. The formalism includes the effects of nuclear fragmentation and accounts for collective…

Nuclear Theory · Physics 2007-05-23 C. Barbieri , W. H. Dickhoff

Quark-model nucleon-nucleon and hyperon-nucleon interactions by the Kyoto- Niigata group are applied to the hypertriton calculation in a new three-cluster Faddeev formalism using the two-cluster resonating-group method kernels. The most…

Nuclear Theory · Physics 2009-11-10 Y. Fujiwara , K. Miyagawa , M. Kohno , Y. Suzuki