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Using non-relativistic effective Lagrangians in the particle-dimer picture, we rederive the expression for the energy shift of a loosely bound three-particle bound state of identical bosons in the unitary limit. The effective field theory…

High Energy Physics - Lattice · Physics 2017-10-25 H. -W. Hammer , J. -Y. Pang , A. Rusetsky

An approach is developed to find approximate solutions to the restricted circular three body problem. The solution is useful in approximately describing the position vectors of three spherically symmetric masses, one of which has a much…

Mathematical Physics · Physics 2007-05-23 Abu Bakr Mehmood , S. Umer Abbas , Ghulam Shabbir

We use the zero-range approximation to study a system of two identical bosons interacting resonantly with a third particle. The method is derived from effective field theory. It reduces the three-body problem to an integral equation which…

Quantum Gases · Physics 2010-05-26 K. Helfrich , H. -W. Hammer , D. S. Petrov

In this paper, we study the relativistic effects in a three-body bound state. For this purpose, the relativistic form of the Faddeev equations is solved in momentum space as a function of the Jacobi momentum vectors without using a partial…

Nuclear Theory · Physics 2020-02-10 M. R. Hadizadeh , M. Radin , K. Mohseni

We present a systematically improvable method for numerically solving relativistic three-body integral equations for the partial-wave projected amplitudes. The method consists of a discretization procedure in momentum space, which…

High Energy Physics - Lattice · Physics 2021-07-21 Andrew W. Jackura , Raúl A. Briceño , Sebastian M. Dawid , Md Habib E Islam , Connor McCarty

We review results for the phase diagram of QCD, the properties of quarks and gluons and the resulting properties of strongly interacting matter at finite temperature and chemical potential. The interplay of two different but related…

High Energy Physics - Phenomenology · Physics 2019-03-27 Christian S. Fischer

We evaluate equal time point to point spatial correlation functions of mesonic currents at finite temperature. For this purpose we consider the QCD vacuum structure in terms of quark antiquark condensates and their fluctuations in terms of…

High Energy Physics - Phenomenology · Physics 2014-11-17 Varun Sheel , Hiranmaya Mishra , Jitendra C. Parikh

Recently it has been argued that a three-body colour confinement interaction can affect the stability condition of a three-quark system and the spectrum of a tetraquark described by any constituent quark model. Here we discuss the role of a…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Pepin , Fl. Stancu

In relativistic frameworks, given by the Bethe-Salpeter and light-front bound state equations, the binding energies of system of three scalar particles interacting by scalar exchange particles are calculated. In contrast to two-body…

High Energy Physics - Phenomenology · Physics 2009-02-19 V. A. Karmanov , P. Maris

We describe multiquark clusters in quark matter within a Beth-Uhlenbeck approach in a background gluon field coupled to the underlying chiral quark dynamics using the Polyakov gauge which establishes the center symmetry of color SU(3) that…

Nuclear Theory · Physics 2024-01-26 D. Blaschke , M. Cierniak , O. Ivanytskyi , G. Röpke

In this paper, we studied a dilute quasi two-dimensional dipolar Bose-condensed with two- and three-body contact, and Coulomb interactions using the Hartree-Fock-Bogoliubov-Popov approximation. We analyze numerically the effects of…

Quantum Gases · Physics 2022-03-02 S. Mostafa Moniri , Heshmatollah Yavari , Elnaz Darsheshdar

We investigate deuteron formation in nuclear matter at finite temperatures within a systematic quantum statistical approach. We consider formation through three-body collisions relevant already at rather moderate densities because of the…

Nuclear Theory · Physics 2009-10-31 C. Kuhrts , M. Beyer , G. Roepke

A relativistic equation is deduced for the bound state of two particles, by assuming a proper boundary condition for the propagation of the negative-energy states. It reduces to the (one-body)Dirac equation in the infinite limit of one of…

High Energy Physics - Phenomenology · Physics 2016-09-06 Hitoshi Ito

We discuss the hadron--quark crossover accompanied by the formation of Cooper triples (three-body counterpart of Cooper pairs) by analogy with the Bose--Einstein condensate to Bardeen--Cooper--Schrieffer crossover in two-component fermionic…

Nuclear Theory · Physics 2023-02-02 Hiroyuki Tajima , Shoichiro Tsutsui , Takahiro M. Doi , Kei Iida

By solving two body Dirac equations with potentials at finite temperature, we calculated the dissociation temperature T_d of B_c mesons in the quark-gluon plasma. It is found that the T_d becomes higher with the relativistic correction than…

Nuclear Theory · Physics 2022-11-04 Guangyu Li , Baoyi Chen , Yunpeng Liu

It is often assumed that few- and many-body systems can be accurately described by considering only pairwise two-body interactions of the constituents. We illustrate that three- and higher-body forces enter naturally in effective field…

Nuclear Theory · Physics 2013-02-08 H. -W. Hammer , A. Nogga , A. Schwenk

The motion of a muon in two centers coulomb field is one of the interesting problems of quantum mechanics. The adiabatic expansion method is powerful approach to study the muonic three-body system. In this investigation the three-body…

Nuclear Theory · Physics 2009-06-23 M. R. Pahlavani , S. M. Motevalli

The relativistic three-nucleon problem is formulated by constructing a dynamical unitary representation of the Poincar\'e group on the three-nucleon Hilbert space. Two-body interactions are included that preserve the Poincar\'e symmetry,…

Nuclear Theory · Physics 2009-01-16 W. N. Polyzou , Ch. Elster , T. Lin , W. Glöckle

The energy spectrum of the baryons is determined by treating each of them as a three-body system with the interacting forces coming from a set of two-body potentials that depend on both the distance between the quarks and the spin and…

High Energy Physics - Phenomenology · Physics 2015-03-13 Joshua F. Whitney , Horace W. Crater

The system is described by three mass-shell constraints. After a nonlinear transformation of the momenta, the analytic form taken by admissible interactions (allowing compatibility) is characterized in terms of the new variables. These…

High Energy Physics - Phenomenology · Physics 2009-11-11 Philippe Droz-Vincent