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We review the techniques of lattice QCD calculations for excited hadrons with light quarks and outline the future challenges that are faced in calculations with fully dynamical fermions.

High Energy Physics - Lattice · Physics 2011-11-10 Christof Gattringer

Hadrons, composed of quarks and gluons bound by Quantum Chromodynamics (QCD), traditionally classified as baryons (three quarks) and mesons (quark-antiquark pairs). Nothing in the theory of QCD stands against the existence of exotic hadrons…

High Energy Physics - Lattice · Physics 2025-05-02 Bhabani Sankar Tripathy , Nilmani Mathur , M. Padmanath

It is shown that the number of independent weak form factors collapses if the heavy diquark exists inside the baryons containing a single heavy quark. The relations between the weak form factors are quite different in the case of light…

High Energy Physics - Phenomenology · Physics 2009-09-25 Le Viet Dung , Nguyen Ai Viet

One leading source of uncertainty in the lattice computation of semi-leptonic form factors in B decay, and to a lesser extent B meson decay constants, comes from the extrapolation of the light quark mass to the physical up/down mass. This…

High Energy Physics - Lattice · Physics 2007-05-23 Matthew Wingate , Junko Shigemitsu , G. Peter Lepage

Lattice QCD with staggered quarks is augmented by the addition of a chiral 4-fermion interaction. The Dirac operator is now non-singular at $m_q=0$, decreasing the computing requirements for light quark simulations by at least an order of…

High Energy Physics - Lattice · Physics 2014-11-17 J. B. Kogut , D. K. Sinclair

Results are presented from a numerical study of lattice QCD with gauge group SU(2) and two flavors of Wilson fermion at non-zero quark chemical potential mu >> T. Studies of the equation of state, the superfluid condensate, and the Polyakov…

Nuclear Theory · Physics 2008-11-26 Simon Hands , Seyong Kim , Jon-Ivar Skullerud

Doubly heavy baryons $\left(QQq\right)$ and singly heavy antimesons $\left(\bar{Q}q\right)$ are related by the heavy quark-diquark (HQDQ) symmetry because in the $m_Q \to \infty$ limit, the light degrees of freedom in both the hadrons are…

High Energy Physics - Phenomenology · Physics 2019-10-22 Thomas Mehen , Abhishek Mohapatra

In framework of heavy-diquark$-$light-quark endowed with heavy-pair binding, we explore excited baryons $QQ^{\prime}q$ containing two heavy quarks ($QQ^{\prime}=cc,bb,bc$) by combining the method of Regge trajectory with the perturbative…

High Energy Physics - Phenomenology · Physics 2023-08-15 YongXin Song , Duojie Jia , WenXuan Zhang , Atsushi Hosaka

The interaction of spatially extended heavy hadrons is investigated in the framework of lattice QCD with dynamical quarks. In addition to the baryon-baryon potential results for the baryon-antibaryon and for the meson-meson system are…

High Energy Physics - Lattice · Physics 2007-05-23 H. Markum , K. Rabitsch , W. Sakuler

This paper studies the leading chiral corrections to heavy quark-diquark symmetry predictions for doubly heavy baryon semileptonic decay form factors. We derive the coupling between heavy diquarks and weak current in the limit of heavy…

High Energy Physics - Phenomenology · Physics 2010-09-22 Jie Hu

Recent discoveries of manifestly exotic, narrow baryon resonances present a fundamental challenge for our theoretical understanding of low-energy QCD. This is a brief survey of their interpretation, emphasizing the possibility that diquark…

High Energy Physics - Phenomenology · Physics 2011-09-13 Robert Jaffe , Frank Wilczek

We check a commonly used approximation in which a baryon with a heavy quark is described as a heavy quark-light diquark system. The heavy quark influences the diquark internal motion reducing the average distance between the two light…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Hernández , J. Nieves , J. M. Verde-Velasco

In the heavy quark limit, properties of heavy mesons and doubly heavy baryons are related by heavy quark-diquark symmetry. This problem is reanalyzed in the framework of Non-Relativistic QCD (NRQCD). We introduce a novel method for deriving…

High Energy Physics - Phenomenology · Physics 2014-11-18 Sean Fleming , Thomas Mehen

In this work, we calculate the mass spectrum of doubly heavy baryons with the diquark model in terms of the QCD sum rules. The interpolating currents are composed of a heavy diquark field and a light quark field. Contributions of the…

High Energy Physics - Phenomenology · Physics 2015-05-28 Liang Tang , Xu-Hao Yuan , Cong-Feng Qiao , Xue-Qian Li

In the heavy-quark limit, the two heavy quarks in a doubly heavy baryon or a doubly heavy tetraquark are bound by their color-Coulomb potential into a compact diquark. The doubly heavy hadrons are related by the approximate…

High Energy Physics - Phenomenology · Physics 2021-01-13 Eric Braaten , Li-Ping He , Abhishek Mohapatra

We discuss lattice artifacts for matrix elements of hadrons containing one or more heavy quark. In particular, we analyze interrelations between lattice artifacts and the $1/m_Q$ expansion. The implications for calculations of heavy-light…

High Energy Physics - Lattice · Physics 2010-11-01 Andreas S. Kronfeld , Fermilab

We use a modified directed path algorithm to study the finite temperature chiral singularities of two color lattice QCD with staggered fermions at strong coupling. Our lattice calculations are done at a fixed finite temperature in the…

High Energy Physics - Lattice · Physics 2008-11-26 Fu-Jiun Jiang

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 masses of baryons containing a heavy quark are calculated to next-to-leading order in partially quenched heavy hadron chiral perturbation theory. Calculations are performed for three light flavors in the isospin limit and additionally…

High Energy Physics - Lattice · Physics 2009-11-10 Brian C. Tiburzi

It is generally assumed that due to factorization of long- and short-distance dynamics perturbative QCD can be applied to exclusive hadronic reactions at large momentum transfers. Within such a perturbative approach diquarks turn out to be…

High Energy Physics - Phenomenology · Physics 2016-09-01 W. Schweiger