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Mass and full width of the heavy scalar molecule $\mathcal{M}$ composed of the mesons $B_{c}^{+}$ and $B_{c}^{-}$ are calculated in the QCD sum rule framework. To find its mass and current coupling, we apply the two-point sum rule method.…

High Energy Physics - Phenomenology · Physics 2025-08-26 S. S. Agaev , K. Azizi , H. Sundu

A formula for an improved spin--dependent potential between a heavy quark and a heavy antiquark was developed using Heavy Quark Effective Theory techniques. The leading logarithmic quark mass terms emerging from loop contributions were…

High Energy Physics - Phenomenology · Physics 2007-05-23 Robert J. Oakes

We compute the hyperfine splitting of P-wave heavy quarkonium states with next-to-next-to-next-to-next-to-leading-order accuracy. The resummation of logarithms with next-to-next-to-next-to-next-to-leading-logarithmic accuracy is also…

High Energy Physics - Phenomenology · Physics 2026-03-11 Jose M. Escario , Andreas Maier , Clara Peset , Antonio Pineda

Hyperfine splittings (HFS) are calculated within the Field Correlator Method, taking into account relativistic corrections. The HFS in bottomonium and the $B_q$ (q=n,s) mesons are shown to be in full agreement with experiment if a universal…

High Energy Physics - Phenomenology · Physics 2011-05-05 A. M. Badalian , B. L. G. Bakker , I. V. Danilkin

The large number of $B_c$ mesons observed by LHCb suggests a sizable cross section for producing doubly-heavy baryons in the same experiment. Motivated by this, we estimate masses of the doubly-heavy $J=1/2$ baryons $\Xi_{cc}$, $\Xi_{bb}$,…

High Energy Physics - Phenomenology · Physics 2014-11-19 Marek Karliner , Jonathan L. Rosner

Masses and current couplings of the charmonium and bottomonium hybrids $ \overline{c}gc$ and $\overline{b}gb$ with spin-parities $J^{\mathrm{PC} }=0^{++},\ 0^{+-},\ 0^{-+},\ 0^{--}$ and $1^{++},\ 1^{+-},\ 1^{-+},\ 1^{--}$ are calculated…

High Energy Physics - Phenomenology · Physics 2024-07-02 A. Alaakol , S. S. Agaev , K. Azizi , H. Sundu

By using the Highly Improved Staggered Quark formalism to handle charm, strange and light valence quarks in full lattice QCD, and NRQCD to handle bottom valence quarks we are able to determine accurately ratios of the B meson…

High Energy Physics - Lattice · Physics 2010-04-06 E. B. Gregory , C. T. H. Davies , E. Follana , E. Gamiz , I. D. Kendall , G. P. Lepage , H. Na , J. Shigemitsu , K. Y. Wong

As tests of QCD in the bottomonium system, we give the most accurate results to date for the ground-state hyperfine splitting and the $\Upsilon$ leptonic width from full lattice QCD. These quantities are both accurately known from…

High Energy Physics - Lattice · Physics 2021-11-12 C. T. H. Davies , D. Hatton , J. Koponen , G. P. Lepage , A. T. Lytle

The $\Sigma_c^*-\Sigma_c$ and $\Sigma_b^*-\Sigma_b$ hyperfine mass splittings are computed in the Skyrme model. The hyperfine splittings are suppressed by both $1/N_c$ and by $1/m_Q$, where $N_c$ is the number of colors and $m_Q$ is the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Elizabeth Jenkins , Aneesh V. Manohar

We compute the hyperfine splitting in a heavy quarkonium composed of different flavors in next-to-leading logarithmic approximation using the nonrelativistic renormalization group. We predict the mass difference of the vector and…

High Energy Physics - Phenomenology · Physics 2019-01-03 A. A. Penin , A. Pineda , V. A. Smirnov , M. Steinhauser

recently proposed strictly phenomenological static quark-antiquark potential belonging to the generality $V(r)=-Ar^{-\alpha}+\kappa r^{\beta}+V_{0}$ is tested with heavy quarkonia in the context of the shifted large N-expansion method. This…

High Energy Physics - Phenomenology · Physics 2009-11-11 Sameer M. Ikhdair , Ramazan Sever

We present an evaluation of heavy quarkonium states (bottomium and charmonium) from first principles. We use tree-level QCD (including relativistic corrections) and the full one-loop potential; nonperturbative effects are taken into account…

High Energy Physics - Phenomenology · Physics 2009-10-22 S. Titard , F. F. Yndurain

We present improved results for the B and D meson spectrum from lattice QCD including the effect of u/d,s and c quarks in the sea. For the B mesons the Highly Improved Staggered Quark action is used for the sea and light valence quarks and…

High Energy Physics - Lattice · Physics 2013-05-30 R. J. Dowdall , C. T. H. Davies , T. C. Hammant , R. R. Horgan

We present lattice results for the spectrum of mesons containing one heavy quark and of baryons containing one or two heavy quarks. The calculation is done in the quenched approximation using the NRQCD formalism for the heavy quark. We…

High Energy Physics - Lattice · Physics 2008-11-26 A. Ali Khan , T. Bhattacharya , S. Collins , C. T. H. Davies , R. Gupta , C. Morningstar , J. Shigemitsu , J. Sloan

Within the context of nonrelativistic potential models, we obtain several formulas (with varying degrees of rigor) relating the wave functions at the origin of the $c{\bar c}$, $b{\bar c}$ and $b{\bar b}$ S-wave quarkonium systems. One of…

High Energy Physics - Phenomenology · Physics 2009-10-30 Sterrett J. Collins , Tom D. Imbo , B. Alex King , Eric. C. Martell

The hyperfine splittings in heavy quarkonia are studied using new experimental data on the di-electron widths. The smearing of the spin-spin interaction is taken into account, while the radius of smearing is fixed by the known…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. M. Badalian , B. L. G. Bakker

Light-front Hamiltonian formulation of QCD with only one flavor of quarks is used in its simplest approximate version to calculate masses and boost-invariant wave functions of c-anti-c or b-anti-b mesons. It is shown that in the Hamiltonian…

High Energy Physics - Theory · Physics 2008-11-26 Stanislaw D. Glazek , Jaroslaw Mlynik

The masses of baryons containing a single heavy quark are studied in a combined expansion in $1/m_Q$, $1/N_c$ and $SU(3)$ flavor symmetry breaking. Heavy quark baryon mass splittings are related to mass splittings of the octet and decuplet…

High Energy Physics - Phenomenology · Physics 2008-11-26 Elizabeth Jenkins

We update determination of the $\overline{\rm MS}$ masses of the charm and bottom quarks, from comparisons of the masses of the charmonium and bottomonium $1S$ states with their perturbative predictions up to next-to-next-to-next-to-leading…

High Energy Physics - Phenomenology · Physics 2017-03-23 Yuichiro Kiyo , Go Mishima , Yukinari Sumino

Using the Cottingham formula, we give an estimate of the electromagnetic mass splitting of pseudoscalar heavy mesons in the beauty and charm sector. We include in the dispersion relation the Born term, the $1^-$ resonance and the positive…

High Energy Physics - Phenomenology · Physics 2011-01-27 P. Colangelo , M. Ladisa , G. Nardulli , T. N. Pham
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