Charmed Bottom Baryon Spectroscopy from Lattice QCD. PDF Download
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Languages : en
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In this study, we calculate the masses of baryons containing one, two, or three heavy quarks using lattice QCD. We consider all possible combinations of charm and bottom quarks, and compute a total of 36 different states with JP = 1/2+ and JP = 3/2+. We use domain-wall fermions for the up, down, and strange quarks, a relativistic heavy-quark action for the charm quarks, and nonrelativistic QCD for the bottom quarks. Our analysis includes results from two different lattice spacings and seven different pion masses. We perform extrapolations of the baryon masses to the continuum limit and to the physical pion mass using SU(4
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Languages : en
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Book Description
In this study, we calculate the masses of baryons containing one, two, or three heavy quarks using lattice QCD. We consider all possible combinations of charm and bottom quarks, and compute a total of 36 different states with JP = 1/2+ and JP = 3/2+. We use domain-wall fermions for the up, down, and strange quarks, a relativistic heavy-quark action for the charm quarks, and nonrelativistic QCD for the bottom quarks. Our analysis includes results from two different lattice spacings and seven different pion masses. We perform extrapolations of the baryon masses to the continuum limit and to the physical pion mass using SU(4
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Languages : en
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The spectrum of doubly and triply heavy baryons remains experimentally unexplored to a large extent. Although the detection of such heavy particle states may lie beyond the reach of exper- iments for some time, it is interesting compute this spectrum from QCD and compare results between lattice calculations and continuum theoretical models. Several lattice calculations ex- ist for both doubly and triply charmed as well as doubly and triply bottom baryons. Here, we present preliminary results from the first lattice calculation of doubly and triply heavy baryons including both charm and bottom quarks. We use domain wall fermions for 2+1 flavors (up down and strange) of sea and valence quarks, a relativistic heavy quark action for the charm quarks, and non-relativistic QCD for the heavier bottom quarks. We present preliminary results for the ground state spectrum.
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Languages : en
Pages : 235
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In this thesis two different analyses are presented, namely the measurements of the properties of $\Lambda_c(2595)+̂$, $\Lambda_c(2625)+̂$, $\Sigma_c(2455){̂++,0}$, and $\Sigma_c(2520){̂++,0}$ baryons as well as the search for $CP$ violation in the Dalitz plot of the decay $D0̂ \to K_S0̂\,\pi+̂\,\pi-̂$. Both studies are performed using data corresponding to 5.2\,\invfb respective 6.0\,\invfb of integrated luminosity from $p\bar{p}$ collisions at a center-of-mass energy of 1.96\,TeV, collected with the CDFĨI detector at the Fermilab Tevatron. The masses and decay widths of the mentioned charmed baryon resonances are measured with uncertainties comparable to the world averages for $\Sigma_c$ states, and significantly smaller uncertainties than the world averages for excited $\Lambda_c+̂$ states. No hints for any $CP$ violating effects in the resonant substructure of $D0̂ \to K_S0̂\,\pi+̂\,\pi-̂$ are found.
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Languages : en
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In this thesis two different analyses are presented, namely the measurements of the properties of $\Lambda_c(2595)^+$, $\Lambda_c(2625)^+$, $\Sigma_c(2455)^{++,0}$, and $\Sigma_c(2520)^{++,0}$ baryons as well as the search for $CP$ violation in the Dalitz plot of the decay $D^0 \to K_S^0\, \pi^+\, \pi^-$. Both studies are performed using data corresponding to 5.2\, \invfb respective 6.0\, \invfb of integrated luminosity from $p\bar{p}$ collisions at a center-of-mass energy of 1.96\, TeV, collected with the CDF~II detector at the Fermilab Tevatron. The masses and decay widths of the mentioned charmed baryon resonances are measured with uncertainties comparable to the world averages for $\Sigma_c$ states, and significantly smaller uncertainties than the world averages for excited $\Lambda_c^+$ states. No hints for any $CP$ violating effects in the resonant substructure of $D^0 \to K_S^0\, \pi^+\, \pi^-$ are found.
Author: Kadir Utku Can
Publisher: Springer
ISBN: 9811089957
Category : Science
Languages : en
Pages : 132
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This thesis presents the first lattice quantum chromodynamics (QCD) approach to the charmed baryon regime, building on the knowledge and experience gained with former lattice QCD applications to nucleon structure. The thesis provides valuable insights into the dynamics of yet unobserved charmed baryon systems. Most notably, it confirms that the expectations of model or effective field theoretical calculations of heavy-hadron systems hold qualitatively, while also demonstrating that they conflict with the quantitative results, pointing to a tension between these complementary approaches. Further, the book presents a cutting-edge approach to understanding the structure and dynamics of hadrons made of quarks and gluons using QCD, and successfully extends the approach to charmed hadrons. In particular, the thesis investigate a peculiar property of charmed hadrons whose dynamics, i.e., structure, deviates from their counterparts, e.g., those of protons and neutrons, by employing the lattice QCD approach —a state-of-the-art numerical method and the powerful ab initio, non-perturbative method.
Author: Ian D'Souza
Publisher:
ISBN:
Category : Baryons
Languages : en
Pages : 166
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Languages : en
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We present the ground and excited state spectra of singly, doubly and triply charmed baryons by using dynamical lattice QCD. A large set of baryonic operators that respect the symmetries of the lattice and are obtained after subduction from their continuum analogues are utilized. Using novel computational techniques correlation functions of these operators are generated and the variational method is exploited to extract excited states. The lattice spectra that we obtain have baryonic states with well-defined total spins up to 7/2 and the low lying states remarkably resemble the expectations of quantum numbers from SU(6)? O(3) symmetry. Various energy splittings between the extracted states, including splittings due to hyperfine as well as spin-orbit coupling, are considered and those are also compared against similar energy splittings at other quark masses.
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Languages : en
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This study presents the ground and excited state spectra of doubly charmed baryons from lattice QCD with dynamical quark fields. Calculations are performed on anisotropic lattices of size 163 × 128, with inverse spacing in temporal direction at−1=5.67(4) GeV and with a pion mass of about 390 MeV. A large set of baryonic operators that respect the symmetries of the lattice yet which retain a memory of their continuum analogues are used. These operators transform as irreducible representations of SU(3)F symmetry for flavor, SU(4) symmetry for Dirac spins of quarks and O(3) for spatial symmetry. The distillation method is utilized to generate baryon correlation functions which are analyzed using the variational fitting method to extract excited states. The lattice spectra obtained have baryonic states with well-defined total spins up to 7/2 and the pattern of low-lying states does not support the diquark picture for doubly charmed baryons. On the contrary the calculated spectra are remarkably similar to the expectations from models with an SU(6)×O(3) symmetry. Various spin-dependent energy splittings between the extracted states are also evaluated.
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Languages : en
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We use a four-dimensional lattice calculation of the full-QCD (quantum chromodynamics, the non-abliean gauge theory of the strong interactions of quarks and gluons) path integrals needed to determine the masses of the charmed and bottom baryons. In the charm sector, our results are in good agreement with experiment within our systematics, except for the spin-1/2 $\Xi_{cc}$, for which we found the isospin-averaged mass to be $\Xi_{cc}$ to be $3665\pm17\pm14^{+0}_{-78}$ MeV. We predict the mass of the (isospin-averaged) spin-1/2 $\Omega_{cc}$ to be $3763\pm19\pm26^{+13}_{-79}$ {MeV}. In the bottom sector, our results are also in agreement with experimental observations and other lattice calculations within our statistical and systematic errors. In particular, we find the mass of the $\Omega_b$ to be consistent with the recent CDF measurement. We also predict the mass for the as yet unobserved $\Xi^\prime_b$ to be 5955(27) MeV.
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Languages : en
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The spectrum of excitations of triply-charmed baryons is computed using lattice QCD including dynamical light quark fields. The spectrum obtained has baryonic states with well-defined total spin up to 7/2 and the low-lying states closely resemble the expectation from models with an SU(6) x O(3) symmetry. Energy splittings between extracted states, including those due to spin-orbit coupling in the heavy quark limit are computed and compared against data at other quark masses.
