English
Related papers

Related papers: Three Body Bound State Calculations without Angula…

200 papers

We re-examine the series of resonances found earlier in atomic three-body systems by solving the Faddeev-Merkuriev integral equations. These resonances are rather broad and line-up at each threshold with gradually increasing gaps, the same…

Atomic and Molecular Clusters · Physics 2016-05-25 D. Diaz , Z. Papp , C. -Y. Hu

It is shown that the effective interaction strength of three bosons at small collision energies can be extracted from their wave function at zero energy. An asymptotic expansion of this wave function at large interparticle distances is…

Statistical Mechanics · Physics 2008-07-27 Shina Tan

We present a systematic account of the separation of the angular degrees of freedom from the nonrelativistic Schr\"{o}dinger equation for a three-body quantum system with arbitrary masses, charges, total angular momentum, and parity. The…

Atomic Physics · Physics 2026-05-26 Anjan Sadhukhan , Grzegorz Pestka , Rafał Podeszwa , Henryk A. Witek

A zero range approach is used to model resonant two-body interactions between three identical bosons. A dimensionless phase parametrizes the three-body boundary condition while the scattering length enters the Bethe-Peierls boundary…

Quantum Gases · Physics 2011-08-31 Christophe Mora , Alexander O. Gogolin , Reinhold Egger

We consider two identical impurities immersed in a Fermi sea for a broad range of masses and for both interacting and non-interacting impurities. The interaction between the particles is described through attractive zero-range potentials…

Quantum Gases · Physics 2016-04-19 F. F. Bellotti , T. Frederico , M. T. Yamashita , D. V. Fedorov , A. S. Jensen , N. T. Zinner

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

Two- and three- particles photodisintegration of the triton is investigated in a three-dimensional (3D) Faddeev approach. For this purpose the Jacobi momentum vectors for three particles system and spin-isospin quantum numbers of the…

Nuclear Theory · Physics 2012-02-21 M. A. Shalchi , S. Bayegan

FaCE is a self contained programme, with namelist input, that solves the three body Faddeev equations. It enables the inclusion of excitation of one of the three bodies, whilst the other two remain inert. It is particularly useful for…

Nuclear Theory · Physics 2009-11-10 I. J. Thompson , F. M. Nunes , B. V. Danilin

We demonstrate remnant structural universality in a putative S-wave $2n$-halo-bound $D^0nn$ system in the $J=0, T=3/2$ channel by invoking the zero-coupling limit (ZCL), which eliminates sub-threshold decay channels. Within this framework,…

Nuclear Theory · Physics 2026-05-22 Ghanashyam Meher , Sourav Mondal , Udit Raha

A benchmark is set on the three-nucleon photodisintegration calculating the total cross section with modern realistic two- and three-nucleon forces (AV18, UrbIX) using both the Faddeev equations and the Lorentz Integral Transform method.…

A method of direct solution of the Faddeev equations for the bound-state problem with zero total angular momentum is used to calculate the binding energies. The results for binding energies of He$_2$$^6$Li and He$_2$$^7$Li systems and…

Atomic and Molecular Clusters · Physics 2019-05-06 E. A. Kolganova , V. Roudnev

$\Lambda N $ potentials recovered through the application of $s$-wave inverse scattering on theoretical data are demonstrated on the $\Lambda NN $ three-body problem. The spin-dependent Malfliet-Tjon I/III potential, with benchmark…

Nuclear Theory · Physics 2020-10-13 Emile Meoto , Mantile Lekala

The wave functions of Boson and Fermion gases are known even when the particles have harmonic interactions. Here we generalise these results by solving exactly the N-body Schrodinger equation for potentials V that can be any function of the…

Statistical Mechanics · Physics 2009-10-31 D. Lynden-Bell , R. M. Lynden-Bell

The pole trajectory of Efimov states for a three-body $\alpha\alpha\beta$ system with $\alpha\alpha$ unbound and $\alpha\beta$ bound is calculated using a zero-range Dirac-$\delta$ potential. It is showed that a three-body bound state turns…

Nuclear Theory · Physics 2009-01-16 M. T. Yamashita , T. Frederico , L. Tomio

A study of 3-body resonances has been performed in the framework of configuration space Faddeev equations. The importance of keeping a sufficient number of terms in the asymptotic expansion of the resonance wave function is pointed out. We…

Nuclear Theory · Physics 2008-11-26 H. Witala , W. Gloeckle

The scalar three-body Bethe-Salpeter equation, with zero-range interaction, is solved in Minkowski space by direct integration of the four-dimensional integral equation. The singularities appearing in the propagators are treated properly by…

High Energy Physics - Phenomenology · Physics 2019-03-27 E. Ydrefors , J. H. Alvarenga Nogueira , V. A. Karmanov , T. Frederico

We evaluate the mass polarization term of the kinetic-energy operator for different three-body nuclear $AAB$ systems by employing the method of Faddeev equations in configuration space. For a three-boson system this term is determined by…

Nuclear Theory · Physics 2018-03-28 I. Filikhin , R. Ya. Kezerashvili , V. M. Suslov , B. Vlahovic

New calculations of the quasi-bound state in the $K^- pp$ system using Faddeev-type equations in AGS form with coupled $\bar{K}NN$ and $\pi \Sigma N$ channels were performed. A chiral $\bar{K}N$ potential together with phenomenological…

Nuclear Theory · Physics 2015-06-19 J. Revai , N. V. Shevchenko

The triple-\alpha reaction rate is re-evaluated by directly solving the three-body Schr\"odinger equation. The resonant and nonresonant processes are treated on the same footing using the continuum-discretized coupled-channels method for…

Solar and Stellar Astrophysics · Physics 2010-01-15 Kazuyuki Ogata , Masataka Kan , Masayasu Kamimura

The quantum-mechanical three-body problem is one of the fundamental challenges of few-body physics. When the two-body interactions become resonant, an infinite series of universal three-body bound states is predicted to occur, whose…