Publication: QCD glueball Regge trajectory and the pomeron
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2002-11-04
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Cotanch, Stephen R.
Bicudo, Pedro J.
Ribeiro, J. Emilio
Szczepaniak, Adam
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Elsevier Science Bv
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Abstract
Implementing many-body techniques successful in other fields, we report a glueball Regge trajectory emerging from diagonalizing a confining Coulomb gauge Hamiltonian for constituent gluons. Through a BCS vacuum ansatz and gap equation, the dressed gluons acquire a dynamic mass, of order 0.8 GeV, providing the quasiparticle degrees of freedom for a TDA glueball formulation. The TDA eigenstates for two constituent gluons have orbital, L, excitations with a characteristic energy of 0.4 GeV revealing a clear Regge trajectory. In particular, the J(PC) = 2(++) glueball coincides with the pomeron given by alpha(P)(t) = 1.08 (0.25 GeV-2)t. We also ascertain that lattice data supports our result. Finally, we conjecture on the odderon puzzle.
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© 2002 Elsevier Science B.V. All rights reserved.
Steve Cotanch thanks Frank Close for informative comments. Pedro Bicudo acknowledges enlightening pomeron discussions with Barbara Clerbaux, Brian Cox and Mike Pichowsky. This work is supported in part by grants DOE DE-FG02 97ER41048,DE-FG02- 87ER40365 and NSF INT-9807009. Felipe J. Llanes Estrada was a SURA-JLab graduate fellowship recipient and thanks Katja Waidelich for technical help. Supercomputer time from NERSC is also acknowledged.
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