Spin Effects in Two Quark System and Mixed States

Based on Martin-like potential, the masses of quarkonia states and their leptonic decay widths have been reviewed. The hyperfine, spin orbit and tensor interactions are employed to compute the spin splitting of the nS states and the fine splittings of the P and D states. The analysis based on the predicted masses and leptonic decay widths clearly indicates that c ð3686Þ is a mixed state with a 50%-50% admixture of c " c ð2SÞ and the hybrid c " cg in accordance with the suggestion that resolves the À puzzle related to c ð2SÞ. And Çð10355Þ as similar admixture of b " b ð3SÞ with b " bg in accordance with the resolution of Vogel puzzle related to Çð3SÞ state. Analyses on the level differences of S-wave excited states of quantum mechanical bound systems show a systematic behavior as n increases. In view of such systematic behavior expected for quarkonia, we observe that Yð4260Þ and Zð4430Þ 1 ÀÀ states are closer to the 4S and 5S states with leptonic decay widths predicted as 0.65 keV and 0.49 keV, respectively. The c " c ð6SÞ 1 ÀÀ state is predicted to be around 4600 MeV and its leptonic decay width 0.39 keV. The present study also favors other charmonialike states, Yð4360Þ and Yð4660Þ, as admixtures of charmonia S À D states. Similarly we find Çð10865Þ does not fit either the 5S state or an admixture of S À D states of a b " b system. We identify Y b ð10888Þ observed by Belle as the 6S state of bottonia whose leptonic width is predicted as 0.158 keV. Our predicted leptonic width, 0.242 keV of Çð10575; 4SÞ, is in good agreement with the experimental value of 0:272 AE 0:029 keV. We predict the pure Çð5SÞ state at about 100 MeV lower than 10865 MeV and its leptonic width 0.191 keV. The upsilon state Çð11019Þ seems to be the right candidate for the 7S state, with 0.134 keV as its predicted leptonic width, which is in very good agreement with the experimental value of 0:13 AE 0:03 keV.

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“…Further, we have considered the tensor and spin orbit components of the Breit interaction terms as given by [28] …”

Section: Methodsmentioning

confidence: 99%

Leptonic and digamma decay properties ofS-wave quarkonia states

2012

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“…Also, we use spin-dependent splitting terms: spin-spin interaction, spin-orbital interaction, and tensor interaction, respectively [35][36][37][38][39][40][41][42][43].…”

Section: Methodsmentioning

confidence: 99%

Spin Splitting Spectroscopy of Heavy Quark and Antiquarks Systems

Mansour

Gamal

Abolmahassen

2020

Advances in High Energy Physics

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Phenomenological potentials describe the quarkonium systems like c c ¯ , b b , ¯ and b ¯ c where they give a good accuracy for the mass spectra. In the present work, we extend one of our previous works in the central case by adding spin-dependent terms to allow for relativistic corrections. By using such terms, we get better accuracy than previous theoretical calculations. In the present work, the mass spectra of the bound states of heavy quarks c c ¯ , b b ¯ , and 𝐵𝑐 mesons are studied within the framework of the nonrelativistic Schrödinger equation. First, we solve Schrödinger’s equation by Nikiforov-Uvarov (NU) method. The energy eigenvalues are presented using our new potential. The results obtained are in good agreement with the experimental data and are better than the previous theoretical estimates.

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“…The calculations in [49], employing the COR potential and hyperfine splitting, exhibit D-wave contributions to the J/ψ wave function squared with magnitudes 0.05%, and 0.004% for Υ(1S).…”

Section: B the Qq Distribution Functionsmentioning

confidence: 99%

Coherent photoproduction of heavy quarkonia on nuclei

Kopeliovich,

Krelina,

Nemchik

et al. 2022

Preprint

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The differential cross section of coherent photo-production of heavy quarkonia on nuclear targets is calculated within the QCD color dipole formalism. The higher-twist nuclear shadowing corresponding to the QQ Fock component of the photon, is calculated including the correlation between dipole orientation r and impact parameter of a collision b, which is related to the transverse momentum transfer via Fourier transform. We also included the leading twist gluon shadowing corresponding to higher Fock components of the photon containing gluons, which have specifically short coherence time, especially for multi-gluon components, even at very high energies. The contribution of such fluctuating gluonic dipole is calculated employing the path-integral technique. Our results are in good agreement with recent ALICE data on charmonium production in ultra-peripheral nuclear collisions.

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Spin Effects in Two Quark System and Mixed States

Cited by 8 publications

References 35 publications

Leptonic and digamma decay properties ofS-wave quarkonia states

Leptonic and digamma decay properties ofS-wave quarkonia states

Spin Splitting Spectroscopy of Heavy Quark and Antiquarks Systems

Coherent photoproduction of heavy quarkonia on nuclei

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