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Related papers: Three-Body Hypernuclei in Pionless Effective Field…

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In this paper we study the renormalization of Halo effective field theory applied to the Helium-6 halo nucleus seen as an alpha-neutron-neutron three-body state. We include the 0+ dineutron channel together with both the 3/2- and 1/2-…

Nuclear Theory · Physics 2017-01-31 Emil Ryberg , Christian Forssén , Lucas Platter

Previous investigations of the three-body dynamics of $B$ mesons have shown that no Efimov effect arises in systems composed of three $B$ and $B^*$ mesons. This implies that the properties of such three-body systems can be described…

High Energy Physics - Phenomenology · Physics 2026-05-19 Yong-Hui Lin , Hans-Werner Hammer , Ulf-G. Meißner

A nonperturbative field theoretic calculation has been made for the $s$-shell hypernuclei. Here we dress the $\Lambda$- and $\Sigma$- hypernuclei with off-mass shell pion pairs. The analysis replaces the scalar isoscalar potential by…

Nuclear Theory · Physics 2007-05-23 P. K. Panda , R. Sahu

We study the triton and three-nucleon force at lowest chiral order in pionless effective field theory both in the Hamiltonian and Euclidean nuclear lattice formalism. In the case of the Euclidean lattice formalism, we derive the exact…

Nuclear Theory · Physics 2009-11-11 B. Borasoy , H. Krebs , D. Lee , U. -G. Meißner

Near two-body unitarity, the three-boson system is characterized by an approximate discrete scale invariance manifest in a geometric tower of bound states (the Efimov effect). In the absence of a strong four-body force, the four-boson…

Atomic Physics · Physics 2024-04-03 Feng Wu , T. Frederico , R. Higa , U. van Kolck

We consider two-loop planar contributions to a three-body form factor at the next-to-leading power in the high-energy limit, where the masses of external particles are much smaller than their energies. The calculation is performed by…

High Energy Physics - Phenomenology · Physics 2025-05-21 Yishuai Guo , Zhi-Feng Liu , Mingming Lu , Tianya Xia , Li Lin Yang

We first derive the Rayleigh-Schr\"odinger many-body perturbation theory up to third order (RSPT3) for Hamiltonians with three-body interaction. The structure of closed-shell nuclei in a wide mass range from 4He to 48Ca has been…

Nuclear Theory · Physics 2018-10-23 B. S. Hu , T. Li , F. R. Xu

Leveraging complementary machine-learning-based approaches, we compute properties of $s$- and $p$-shell $\Lambda$ hypernuclei - including binding energies, single-particle densities, and radii - starting from the individual interactions…

Nuclear Theory · Physics 2025-07-24 Andrea Di Donna , Lorenzo Contessi , Alessandro Lovato , Francesco Pederiva

A recent rejuvenation of experimental and theoretical interest in the physics of few- body systems has provided deep, fundamental insights into a broad range of problems. Few-body physics is a cross-cutting discipline not restricted to…

Quantum Gases · Physics 2017-11-01 Chris H. Greene , P. Giannakeas , J. Perez-Rios

Lowest bound S-state energy of Coulomb three-body systems ($N^{Z+}\mu^-e^-$) having a positively charged nucleus of charge number Z ($N^{Z+}$), a negatively charged muon ($\mu^-$) and an electron ($e^-$), is investigated in the framework of…

Atomic and Molecular Clusters · Physics 2017-05-16 Md. A. Khan , M. Hasan

The two-channel model for bosons with the three-body interaction is proposed. Similar to the Hamiltonian describing narrow Feshbach resonance in the two-body sector, our model includes the finite-range effects of the three-body potential…

Quantum Gases · Physics 2025-06-24 V. Polkanov , O. Hryhorchak , V. Pastukhov

We study Efimov physics for three identical bosons interacting via a pairwise square-well potential, analyze the validity of the separable approximation as a function of the interaction strength, and investigate what is needed to improve…

Atomic Physics · Physics 2019-01-08 Paul M. A. Mestrom , Thomas Secker , Ronen Kroeze , Servaas Kokkelmans

The motion of three bodies can be solved perturbatively when a tightly bound inner binary is orbited by a distant perturber, giving rise for example to the well-known Kozai-Lidov oscillations. We propose to study the relativistic…

High Energy Physics - Theory · Physics 2021-07-14 Adrien Kuntz , Francesco Serra , Enrico Trincherini

The Faddeev equations for the three body bound state are solved directly as three dimensional integral equation without employing partial wave decomposition. The numerical stability of the algorithm is demonstrated. The three body binding…

Nuclear Theory · Physics 2009-10-31 Ch. Elster , W. Schadow , A. Nogga , W. Gloeckle

The study of the three-body problem with short-range attractive two-body forces has a rich history going back to the 1930's. Recent applications of effective field theory methods to atomic and nuclear physics have produced a much improved…

Nuclear Theory · Physics 2009-11-11 R. F. Mohr , R. J. Furnstahl , H. -W. Hammer , R. J. Perry , K. G. Wilson

The universal three-body dynamics in ultra-cold binary Fermi and Fermi-Bose mixtures is studied. Two identical fermions of the mass $m$ and a particle of the mass $m_1$ with the zero-range two-body interaction in the states of the total…

Atomic Physics · Physics 2007-05-23 O. I. Kartavtsev , A. V. Malykh

We solve the Faddeev bound-state equations for three particles with simple two-body nonlocal, separable potentials that yield a scattering length twice as large as a positive effective range, as indicated by some lattice QCD simulations.…

Nuclear Theory · Physics 2024-01-17 V. S. Timoteo , U. van Kolck

We investigate the properties of $\Lambda$ hyperon in $\Lambda$-hypernuclei using an effective nuclear density functional theory which is based on the low-energy effective field theory. It expands the energy density in the power of Fermi…

Nuclear Theory · Physics 2022-09-14 Soonchul Choi , Emiko Hiyama , Chang Ho Hyun , Myung-Ki Cheoun

Based on the leading-order covariant pionless effective field theory, a relativistic nuclear Hamiltonian is derived and solved using the variational Monte Carlo approach for $A\le 4$ nuclei by representing the nuclear many-body wave…

Nuclear Theory · Physics 2022-11-24 Y. L. Yang , P. W. Zhao

In this note we discuss the Efimov effect emerging in a three-particle quantum system with zero-range interactions. In particular, we consider two non-interacting identical bosons plus a different lighter particle such that the interaction…

Mathematical Physics · Physics 2026-01-29 G. Basti , D. Ferretti , A. Teta