A new potential for quarkonium

Gyan Bhanot, Serge Rudaz

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Abstract

We suggest a new potential for bound states of a heavy quark-antiquark pair. This potential has a logarithmic piece interpolating between a confining linear part at large distances and an asymptotically free Coulombic part at short distances. We show that the logarithmic piece of our potential considerably influences the ψ J-family spectrum, and dominates the Υ{hooked}-family. An excellent fit to the psi; J data below the DD̄ threshold and the correct Υ{hooked}′-Υ{hooked} mass splitting is obtained in a natural way. We suggest a possible test for this new potential through the leptonic widths of the Υ{hooked}-family.

Original languageEnglish (US)
Pages (from-to)119-124
Number of pages6
JournalPhysics Letters B
Volume78
Issue number1
DOIs
StatePublished - Sep 11 1978

Bibliographical note

Funding Information:
where a is the fine-structure constant and eQ the charge of the constituent quarks of V in units of the electron charge with appropriate Clebsch-Gordan coefficients, one extracts from eqs. (lb) and (lc) the values of the c~ wave functions at the origin for the C/ J(3098) (13S1) and C'(3684) (23S1) states. One obtains in this way the important quantity Supported in part by the National Science Foundation. 1 Cornell University Graduate Fellow.

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