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We theoretically investigate the thermodynamic properties of a strongly correlated two-dimensional Fermi gas with a confinement-induced negative effective range of interactions, which is described by a two-channel model Hamiltonian. By…

Quantum Gases · Physics 2020-01-15 Brendan C. Mulkerin , Hui Hu , Xia-Ji Liu

In this work we study the resonances near the thresholds of the open heavy-flavor hadrons using the effective-range-expansion method. The unitarity, analyticity and compositeness coefficient are also taken into account in our theoretical…

High Energy Physics - Phenomenology · Physics 2019-07-04 Rui Gao , Zhi-Hui Guo , Xian-Wei Kang , J. A. Oller

Isotropic scattering in various spatial dimensions is considered for arbitrary finite-range potentials using non-relativistic effective field theory. With periodic boundary conditions, compactifications from a box to a plane and to a wire,…

Quantum Gases · Physics 2019-01-09 Silas R. Beane , Murtaza Jafry

Lattice QCD studies of hadron-hadron interactions are performed by computing the energy levels of the system in a finite box. The shifts in energy levels proportional to inverse powers of the volume are related to scattering parameters in a…

High Energy Physics - Lattice · Physics 2014-11-17 Paulo F. Bedaque , Ikuro Sato , Andre Walker-Loud

We discuss the power counting for effective field theories with narrow resonances near a two-body threshold. Close to threshold, the effective field theory is perturbative and only one combination of coupling constants is fine-tuned. In the…

Nuclear Theory · Physics 2009-11-10 P. F. Bedaque , H. -W. Hammer , U. van Kolck

The polaron features due to electron-phonon interactions with different coupling ranges are investigated by adopting a variational approach. The ground-state energy, the spectral weight, the average kinetic energy, the mean number of…

Strongly Correlated Electrons · Physics 2007-05-23 C. A. Perroni , V. Cataudella , G. De Filippis , V. Marigliano Ramaglia

We derive the generalization of Wigner's causality bounds and Bethe's integral formula for the effective range parameter to arbitrary dimension and arbitrary angular momentum. We also discuss the impact of these constraints on the…

Nuclear Theory · Physics 2015-05-18 H. -W. Hammer , Dean Lee

Using a recently developed effective field theory for the interactions of nucleons at non-relativistic energies, we calculate the Coulomb corrections to proton-proton scattering. Including the dimension-eight derivative interaction in PDS…

Nuclear Theory · Physics 2011-08-03 Xinwei Kong , Finn Ravndal

We consider two-component fermions with short-range interactions and large scattering length. This system has universal properties that are realized in several different fields of physics. In the limit of large fermion-fermion scattering…

Nuclear Theory · Physics 2017-03-15 Serdar Elhatisari , Kris Katterjohn , Dean Lee , Ulf-G. Meißner , Gautam Rupak

Nonrelativstic effective field theories have shown to be a useful framework to describe systems of weakly bound particles. This work focuses on the matching procedure to the underlying relativistic theory. The concept of a physical mass in…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Gall

A model-independent parameterization of the low-energy scattering amplitude that incorporates the left-hand cut from one-particle exchange, an extension of the conventional effective-range expansion (ERE), was recently proposed and…

High Energy Physics - Phenomenology · Physics 2026-01-09 Wen-Jia Wang , Bing Wu , Meng-Lin Du , Feng-Kun Guo

A complete and consistent inversion technique is proposed to derive an accurate interaction potential from an effective-range function for a given partial wave in the neutral case. First, the effective-range function is Taylor or Pad\'e…

We quantify the internal structure of near-threshold bound, virtual, and resonance states in systems where Coulomb and short-range interactions coexist by evaluating the compositeness. Using the Coulomb-modified effective range expansion,…

High Energy Physics - Phenomenology · Physics 2026-04-28 Tomon Kinugawa , Tetsuo Hyodo

In this paper we develop a formalism for studying the nonrelativistic limit of relativistic field theories in a systematic way. By introducing a simple, nonlocal field redefinition, we transform a given relativistic theory, describing a…

High Energy Physics - Phenomenology · Physics 2018-07-25 Mohammad Hossein Namjoo , Alan H. Guth , David I. Kaiser

The concept of compositeness is used to quantitatively discuss the hadronic molecular nature in exotic hadrons. In this work, we develop a formulation to explicitly introduce the compact quark state contribution in the hadronic potentials…

High Energy Physics - Phenomenology · Physics 2025-04-29 Ibuki Terashima , Tetsuo Hyodo

We examine the convergence properties of the 2-nucleon Effective Range Expansion as used in Effective Theories (ET-ERE's) for 3-nucleon calculations. We accomplish this by accounting for the 2-body dynamics with a simple rank-1 separable…

Nuclear Theory · Physics 2009-03-31 J. R. Shepard , J. A. McNeil

We extract the leading effective range corrections to the equation of state of the unitary Fermi gas from ab initio fixed-node quantum Monte Carlo (FNQMC) calculations in a periodic box using a density functional theory (DFT), and show them…

Quantum Gases · Physics 2012-11-16 Michael McNeil Forbes , Stefano Gandolfi , Alexandros Gezerlis

Short range correlations are introduced using unitary correlation method in a relativistic approach to the equation of state of the infinite nuclear matter in the framework of the Hartree-Fock approximation. It is shown that the…

Nuclear Theory · Physics 2011-07-19 P. K. Panda , João da Providência , Constança Providência

This paper is a brief review of low energy soft hadronic physics, starting from the invention of the low energy effective range theory in the late 40's due to Bethe and Schwinger for nucleon-nucleon scattering, and its generalization to the…

High Energy Physics - Phenomenology · Physics 2010-02-15 Tran N. Truong

We construct the potentials that describe the spectrum and decay of electromagnetic bound states of hadrons, and are consistent with ChPT. These potentials satisfy the matching condition which enables one to express the parameters of the…

High Energy Physics - Phenomenology · Physics 2009-11-07 E. Lipartia , V. E. Lyubovitskij , A. Rusetsky