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The results of highly accurate calculations are presented for all twenty-two known bound $S(L = 0)-, P(L = 1)-, D(L = 2)-$ and $F(L = 3)-$states in the six three-body muonic molecular ions $pp\mu, pd\mu, pt\mu, dd\mu, dt\mu$ and $tt\mu$. A…

Atomic Physics · Physics 2015-05-19 Alexei M. Frolov , David M. Wardlaw

We have simulated QCD at a finite chemical potential $\mu_I$ for isospin ($I_3$) to probe part of the phase diagram for nuclear matter. Preliminary results suggest that for $\mu_I > \mu_c$, this theory forms a charged pion condensate which…

High Energy Physics - Lattice · Physics 2015-06-25 J. B. Kogut , D. K. Sinclair

We construct the QCD equation of state at finite chemical potentials including net baryon, electric charge, and strangeness, based on the conserved charge susceptibilities determined from lattice QCD simulations and the equation of state of…

Nuclear Theory · Physics 2019-08-21 Akihiko Monnai , Björn Schenke , Chun Shen

The $\Xi$ single-particle potential obtained in nuclear matter with the next-to-leading order baryon-baryon interactions in chiral effective field theory is applied to finite nuclei by an improved local-density approximation method. As a…

Nuclear Theory · Physics 2021-07-09 M. Kohno , K. Miyagawa

Recently a new approach to calculate the nuclear potential from lattice QCD has been proposed. In the approach the nuclear potential is constructed from Bethe-Salpeter (BS) wave functons through the Schroedinger equation. The procedure…

High Energy Physics - Lattice · Physics 2010-03-03 K. Murano , N. Ishii , S. Aoki , T. Hatsuda

We explore the QCD equation of state at finite baryon density through an expansion in baryon number fugacity, making use of the recent lattice data on the four leading Fourier coefficients of the expansion. A state-of-the-art description of…

High Energy Physics - Phenomenology · Physics 2019-05-06 Volodymyr Vovchenko , Jan Steinheimer , Owe Philipsen , Horst Stoecker

The QCD thermodynamics on the lattice provides fundamental theoretical grounds to analyze the various experimental data in relativistic heavy ion collisions. So far, most of the numerical simulations on the lattice have been performed by…

High Energy Physics - Lattice · Physics 2008-11-26 S. Ejiri , T. Hatsuda , N. Ishii , Y. Maezawa , N. Ukita , S. Aoki , K. Kanaya

The spectrum of baryons containing three b quarks is calculated in nonperturbative QCD, using the lattice regularization. The energies of ten excited bbb states with J^P = 1/2^+, 3/2^+, 5/2^+, 7/2^+, 1/2^-, and 3/2^- are determined with…

High Energy Physics - Lattice · Physics 2012-06-27 Stefan Meinel

A method has been developed to solve three-particle Faddeev equations in the configuration space making use of a series expansion in hyperspherical harmonics. The following parameters of the bound state of triton and helium-3 nuclei have…

Nuclear Theory · Physics 2016-03-22 V. I. Kovalchuk

We start with a variational approach and derive a set of coupled integral equations for the bound states of $N$ identical spin-$\uparrow$ fermions and a single spin-$\downarrow$ fermion in a generic multiband Hubbard Hamiltonian with an…

Quantum Gases · Physics 2022-09-08 M. Iskin , A. Keleş

The work described in this paper is the first step toward a relativistic three-quark bound-state calculation using a Hamiltonian consistent with the Wigner-Bargmann theorem and macroscopic locality. We give an explicit demonstration that we…

High Energy Physics - Phenomenology · Physics 2010-03-04 H. -C. Jean , D. Robson , A. G. Williams

The paper contains a review of the exact or accurate results achieved in the field of the three-body antikaon-nucleon physics. Different states and processes in $\bar{K}NN$ and $\bar{K}\bar{K}N$ systems are considered. In particular,…

Nuclear Theory · Physics 2017-01-04 N. V. Shevchenko

We present lattice results for the ground state energy of a spin-1/2 fermion system in the unitary limit, where the effective range of the interaction is zero and the scattering length is infinite. We compute the ground state energy for a…

Statistical Mechanics · Physics 2009-11-11 Dean Lee

We derive an energy-independent and non-local potential for the baryon-baryon interaction from the Nambu-Bethe-Salpeter amplitude on the lattice. The method is applied to the nucleon-nucleon interactions with the (2+1)-flavor lattice QCD…

Nuclear Theory · Physics 2015-03-17 Tetsuo Hatsuda

We present results for charmonium-nucleon potential $V_{c\bar{c}-N}(r)$ from quenched lattice QCD, which is calculated from the equal-time Bethe-Salpeter amplitude through the effective Schr\"odinger equation. Detail information of the…

High Energy Physics - Lattice · Physics 2010-11-11 Taichi Kawanai , Shoichi Sasaki

We present a realistic lattice QCD study on low-energy $N$-$J/\psi$ and $N$-$\eta_c$ interactions based on (2+1) flavor configurations with nearly physical pion mass $m_\pi=146$ MeV. The interactions, extracted from the spacetime…

High Energy Physics - Lattice · Physics 2024-12-12 Yan Lyu , Takumi Doi , Tetsuo Hatsuda , Takuya Sugiura

The bound state of \nuclide[6][\Lambda\Lambda]{He} is studied as a three-body ($\Lambda\Lambda\alpha$) system in a cluster effective field theory at leading order (LO). We find that the system exhibits the limit cycle which is associated…

Nuclear Theory · Physics 2016-04-20 S. -I. Ando , Y. Oh

The paper is devoted to the $\bar{K}NNN$ system, which is an exotic system consisting of an antikaon and three nucleons. Four-body Faddeev-type AGS equations, which are being used for evaluation of the possible quasi-bound state in the…

Nuclear Theory · Physics 2018-11-22 Nina Shevchenko

The ground-state energies of systems containing up to twelve $\pi^+$'s in a spatial volume V ~ (2.5 fm)^3 are computed in dynamical, mixed-action lattice QCD at a lattice spacing of ~ 0.125 fm for four different values of the light quark…

High Energy Physics - Lattice · Physics 2008-12-18 William Detmold , Martin J. Savage , Aaron Torok , Silas R. Beane , Thomas C. Luu , Kostas Orginos , Assumpta Parreno

We investigate bound states of light $\Omega_{3x}$-clusters ($x = s, c$), motivated by the $\Omega_{3s}N$ potential recently developed by the HAL QCD collaboration. To regularize this potential, we remove the deeply attractive core at $r <…

Nuclear Theory · Physics 2026-01-21 Igor Filikhin , Roman Ya. Kezerashvili , Branislav Vlahovic
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