NONRELATIVISTIC QUARK-ANTIQUARK POTENTIAL: SPECTROSCOPY OF HEAVY-QUARKONIA AND EXOTIC SUSY QUARKONIA


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IKHDAİR S., Sever R.

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, vol.24, pp.5341-5362, 2009 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Review
  • Volume: 24
  • Publication Date: 2009
  • Doi Number: 10.1142/s0217751x09045868
  • Journal Name: INTERNATIONAL JOURNAL OF MODERN PHYSICS A
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.5341-5362
  • Keywords: Bound state energy, exotic quarkonia, conventional heavy quarkonia, shifted large N-expansion technique, SPINLESS SALPETER EQUATION, B-C SPECTROSCOPY, DECAY CONSTANT, BOUND-STATES, MASS-SPECTRA, SCALAR TOP, HYPERFINE SPLITTINGS, QUANTUM-MECHANICS, PERTURBATIVE QCD, BOTTOM-QUARK

Abstract

The experiments at LHC have shown that the SUSY (exotic) bound states are likely to form bound states in an entirely similar fashion as ordinary quarks form bound states, i.e. quarkonium. Also, the interaction between two squarks is due to gluon exchange which is found to be very similar to that interaction between two ordinary quarks. This motivates us to solve the Schrodinger equation with a strictly phenomenological static quark-antiquark potential: V(r) = -Ar-1 + kappa root r + V-0 using the shifted large N-expansion method to calculate the low-lying spectrum of a heavy quark with antisbottom (c<(<(b)over tilde>)over bar>, b<(<(b)over tilde>)over bar>) and sbottom with antisobottom (<(<(b)over tilde>)over bar><(<(b)over tilde>)over bar>) bound states with m((b) over tilde) is set free. To have a full knowledge on spectrum, we also give the result for a heavier as well as for lighter sbottom masses. As a test for the reliability of these calculations, we fix the parameters of this potential by fitting the spin-triplet (n(3)S(1)) and center-of-gravity l not equal 0 experimental spectrum of the ordinary heavy quarkonia c (c) over bar, c (b) over bar, and b (b) over bar to few MeV. Our results are compared with other models to gauge the reliability of these predictions and point out differences.