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In this chapter, the current status on baryon-baryon interactions such as nuclear forces in lattice Quantum ChromoDynamics (QCD) is reviewed. In studies of baryon-baryon interactions in lattice QCD, the most reliable method so far is the…

High Energy Physics - Lattice · Physics 2024-02-20 Sinya Aoki , Takumi Doi

We apply the quantum mechanical (first-quantized) JWKB approximation to a two-body path integral describing the near-forward scattering of two relativistic, heavy, non-identical, scalar particles in $D$ spacetime dimensions. In contrast to…

High Energy Physics - Theory · Physics 2016-04-18 M. E. Irizarry-Gelpí , W. Siegel

We examine the hadronic interactions of quarkonia, focusing on the decays psi(2s)->psi pi pi and upsilon(2s)-> upsilon pi pi. The leading gluonic operators in the multipole expansion are matched onto the chiral lagrangian with the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Jiunn-Wei Chen , Martin J. Savage

The QCD-based operator-product-expansion technique is systematically applied to the study of charmed meson lifetimes. We stress that it is crucial to take into account the momentum of the spectator light quark of charmed mesons, otherwise…

High Energy Physics - Phenomenology · Physics 2016-08-25 Hai-Yang Cheng , Kwei-Chou Yang

For the Nbar N system, the one-pion-exchange (OPE) interaction gives the largest attractive force for Nbar N with isospin I=0 and spin S=0, while a near threshold enhancement was observed for pbar p with I=0 and S=0 in J/psi -> gamma pbar p…

High Energy Physics - Phenomenology · Physics 2008-11-26 B. S. Zou , H. C. Chiang

Consideration of the analytic properties of pion-induced baryon self-energies leads to new functional forms for the extrapolation of light baryon masses. These functional forms reproduce the leading non-analytic behavior of chiral…

High Energy Physics - Lattice · Physics 2009-07-09 D. B. Leinweber , A. W. Thomas , K. Tsushima , S. V. Wright

We consider the chiral Lagrangian for baryon fields with J^P =\frac{1}{2}^+ or J^P =\frac{3}{2}^+ quantum numbers as constructed from QCD with up, down and strange quarks. The specific class of counter terms that are of chiral order Q^3 and…

High Energy Physics - Phenomenology · Physics 2019-12-04 Yonggoo Heo , C. Kobdaj , M. F. M. Lutz

In order to guide the extrapolation of the mass of the rho meson calculated in lattice QCD with dynamical fermions, we study the contributions to its self-energy which vary most rapidly as the quark mass approaches zero; from the processes…

High Energy Physics - Lattice · Physics 2010-05-28 D. B. Leinweber , A. W. Thomas , K. Tsushima , S. V. Wright

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

Our progress in computing the spectrum of excited baryons and mesons in lattice QCD is described. Sets of spatially-extended hadron operators with a variety of different momenta are used. A new method of stochastically estimating the…

High Energy Physics - Lattice · Physics 2015-05-27 C. Morningstar , A. Bell , J. Bulava , J. Foley , K. J. Juge , D. Lenkner , C. H. Wong

In a recent measurement LHCb reported pronounced structures in the $J/\psi J/\psi$ spectrum. One of the various possible explanations of those is that they emerge from non-perturbative interactions of vector charmonia. It is thus important…

High Energy Physics - Phenomenology · Physics 2021-10-26 Xiang-Kun Dong , Vadim Baru , Feng-Kun Guo , Christoph Hanhart , Alexey Nefediev , Bing-Song Zou

Progress on the potential method, recently proposed to investigate hadron interactions in lattice QCD, is reviewed. The strategy to extract the potential in lattice QCD is explained in detail. The method is applied to extract $NN$…

High Energy Physics - Lattice · Physics 2015-05-28 Sinya Aoki

Nuclear and lattice physicists share several topics of common interest, like hadronic masses, electroweak form factors and structure functions of hadrons. The main physics issues that a new collaboration between a nuclear physicist and the…

Nuclear Theory · Physics 2017-08-23 S. Simula

A set of optimized interpolating operators which are dominantly coupled to each eigenstate of two baryons on the lattice is constructed by the HAL QCD method. To test its validity, we consider heavy dibaryons $\Omega_{3Q}\Omega_{3Q}$…

High Energy Physics - Lattice · Physics 2022-12-21 Yan Lyu , Hui Tong , Takuya Sugiura , Sinya Aoki , Takumi Doi , Tetsuo Hatsuda , Jie Meng , Takaya Miyamoto

The I=2 pipi scattering length is calculated in fully-dynamical lattice QCD with domain-wall valence quarks on the asqtad-improved coarse MILC configurations (with fourth-rooted staggered sea quarks) at four light-quark masses. Two- and…

High Energy Physics - Lattice · Physics 2008-11-26 Silas R. Beane , Thomas C. Luu , Kostas Orginos , Assumpta Parreno , Martin J. Savage , Aaron Torok , Andre Walker-Loud

We carry out an analysis of $\pi\pi$ scattering in the $IJ=00$, $11$ and $20$ channels in configuration space up to a maximal center-of-mass energy $\sqrt{s}=1.4$ GeV. We separate the interaction into two regions marked by an elementarity…

High Energy Physics - Phenomenology · Physics 2018-11-14 Jacobo Ruiz de Elvira , Enrique Ruiz Arriola

We study the quark mass function on hypercubic lattices, in a large range of physical volumes and cutoffs. To avoid the very large Wilson term artefact, we exploit the relation between the quark mass function and the pseudoscalar vertex in…

High Energy Physics - Lattice · Physics 2014-11-20 Ph. Boucaud , J. P. Leroy , A. Le Yaouanc , J. Micheli , O. Pene , J. Rodriguez-Quintero

We calculate the long-distance effect generated by the four-quark operators with $c$-quarks in the $B\to K^{(*)} \ell^+\ell^-$ decays. At the lepton-pair invariant masses far below the $\bar{c}c$-threshold, $q^2\ll 4m_c^2$, we use OPE near…

High Energy Physics - Phenomenology · Physics 2014-11-21 A. Khodjamirian , Th. Mannel , A. A. Pivovarov , Y. -M. Wang

We report on our recent attempts to determine the short distance behaviors of general 2-baryon and 3-baryon forces, which are defined from the Nambu-Bethe-Salpeter(NBS) wave function, by using the operator product expansion and a…

High Energy Physics - Lattice · Physics 2013-01-03 Sinya Aoki , Janos Balog , Peter Weisz

For $J/\psi$ pair production at hadron colliders, we present the full next-to-leading order (NLO) calculations with the color-singlet channel in nonrelativistic QCD. We find that the NLO result can reasonably well describe the LHCb measured…

High Energy Physics - Phenomenology · Physics 2016-10-26 Li-Ping Sun , Hao Han , Kuang-Ta Chao