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For zero-range interaction providing a given mass M_2 of the two-body bound state, the mass M_3 of the relativistic three-body bound state is calculated. We have found that the three-body system exists only when M_2 is greater than a…

核理论 · 物理学 2009-11-10 V. A. Karmanov , J. Carbonell

Properties of two identical particles of mass $m$ and a distinct particle of mass $m_1$ in the universal low-energy limit of zero-range two-body interaction are studied in different sectors of total angular momentum $L$ and parity $P$. For…

量子气体 · 物理学 2019-04-11 O. I. Kartavtsev , A. V. Malykh

For the zero-range interaction providing a given mass M_2 of the two-body bound state, the mass M_3 of the relativistic three-boson state is calculated. We have found that the three-body system exists only when M_2 is greater than a…

核理论 · 物理学 2009-11-07 J. Carbonell , V. A. Karmanov

We consider a Fermi gas with two components of different masses, with the s-wave two-body interaction tuned to unitarity. In the range of mass ratio 8.62<M/m<13.6, it is possible for a single contact interaction between heavy fermions to…

其他凝聚态物理 · 物理学 2008-11-26 Yusuke Nishida , Dam Thanh Son , Shina Tan

A quantum mechanical three-body problem for two identical fermions of mass $m$ and a distinct particle of mass $m_1$ in the universal limit of zero-range two-body interaction is studied. For the unambiguous formulation of the problem in the…

量子气体 · 物理学 2016-09-27 O. I. Kartavtsev , A. V. Malykh

Three body systems with short-range interactions display universal features that have been extensively explored in atomic physics, but apply to hadron physics as well. Systems composed of two non-interacting identical particles (species H)…

高能物理 - 唯象学 · 物理学 2018-07-19 Manuel Pavon Valderrama

Overview of the recent advances in description of the few two-component fermions is presented. The model of zero-range interaction is generally considered to discuss the principal aspects of the few-body dynamics. Particular attention is…

原子物理 · 物理学 2014-04-02 O. I. Kartavtsev , A. V. Malykh

We investigate one-dimensional three-body systems composed of two identical bosons and one imbalanced atom (impurity) with two-body and three-body zero-range interactions. For the case in the absence of three-body interaction, we give a…

量子气体 · 物理学 2021-09-08 Yanxia Liu , Yi-Cong Yu , Shu Chen

It is known that in the ladder approximation the relativistic two-fermion bound-state equation of Bethe and Salpeter has solutions corresponding to the binding energy equal to the total mass of the particles. The study of these massless…

高能物理 - 理论 · 物理学 2010-02-04 A. I. Agafonov

We give a lower bound on the ground state energy of a system of two fermions of one species interacting with two fermions of another species via point interactions. We show that there is a critical mass ratio m_c \approx 0.58 such that the…

数学物理 · 物理学 2018-08-07 Thomas Moser , Robert Seiringer

We study a three-body system, formed by a light particle and two identical heavy dipoles, in two dimensions in the Born-Oppenheimer approximation. We present the analytic light-particle wave function resulting from an attractive zero-range…

原子物理 · 物理学 2017-01-11 D. S. Rosa , F. F. Bellotti , A. S. Jensen , G. Krein , M. T. Yamashita

We present a model to compute baryon and meson transverse momentum distributions, and their ratios, in relativistic heavy-ion collisions. The model allows to compute the probability to form colorless bound states of either two or three…

高能物理 - 唯象学 · 物理学 2015-06-17 Eleazar Cuautle , Alejandro Ayala

In this work, we study the Efimov effect in a mass-imbalanced system consisting of two heavy particles and one light particle within the Born-Oppenheimer approximation. The result obtained in R. Figari, H. Saberbaghi, and A. Teta, J. Phys.…

数学物理 · 物理学 2025-11-21 Hamidreza Saberbaghi

The momentum space zero-range model is used to investigate universal properties of three interacting particles confined to two dimensions. The pertinent equations are first formulated for a system of two identical and one distinct particle…

量子气体 · 物理学 2011-10-04 F. F. Bellotti , T. Frederico , M. T. Yamashita , D. V. Fedorov , A. S. Jensen , N. T. Zinner

We show that many aspects of ultracold three-body collisions can be controlled by choosing the mass ratio between the collision partners. In the ultracold regime, the scattering length dependence of the three-body rates can be substantially…

原子物理 · 物理学 2009-11-11 J. P. D'Incao , B. D. Esry

In this article, we revisit the heteronuclear Efimov effect in a Bose-Fermi mixture with large mass difference in the Born-Oppenheimer picture. As a specific example, we consider the combination of bosonic $^{133}\mathrm{Cs}$ and fermionic…

We demonstrate that mass inequalities for hadrons with one or more heavy quarks arise primarily from the concavity of binding energies in the quark model, reflecting short-range Coulombic interactions and long-range confinement. Empirical…

高能物理 - 唯象学 · 物理学 2026-04-02 Wen-Xuan Zhang , Wen-Nian Liu , Duojie Jia

We study the behavior of the bound state energy of a system consisting of two identical heavy fermions of mass M and a light particle of mass m. The heavy fermions interact with the light particle through a short-range two-body potential…

量子气体 · 物理学 2015-06-12 A. Safavi-Naini , Seth. T. Rittenhouse , D. Blume , H. R. Sadeghpour

We solve the three-body bound state problem in three dimensions for mass imbalanced systems of two identical bosons and a third particle in the universal limit where the interactions are assumed to be of zero-range. The system displays the…

量子气体 · 物理学 2013-06-21 M. T. Yamashita , F. F. Bellotti , T. Frederico , D. V. Fedorov , A. S. Jensen , N. T. Zinner

We consider the problem of $N$ identical fermions interacting via a zero-range attractive potential with a lighter atom in one dimension. Using the few-body approach based on the Skorniakov and Ter-Martirosian equation, we determine the…

量子气体 · 物理学 2022-07-13 A. Tononi , J. Givois , D. S. Petrov
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