Summary
We propose a nonrelativistic potential model with a regularized Coulomb potential at short range which leads to spindependent interactions which are at most as singular as 1/r. The Schrödinger equation is solved numerically including all spin-dependent interactions nonperturbatively. The predicted spectrum of light and heavy quarkonia is in remarkable agreement with experiment. Even the leptonicdecay widths as well as theM1 transitions are in agreement with experiment.
Riassunto
Si propone un modello di potenziale non relativistico con un potenziale regolarizzato di Coulomb a corto raggio che porta ad interazioni dipendenti dallo spin che sono per lo piú singolari come 1/r. L’equazione di Schrödinger si risolve numericamente includendo tutte le interazioni dipendenti dallo spin in modo non perturbativo. Lo spettro previsto dei quarkoni leggeri e pesanti è in notevole accordo con l’esperimento. Anche le ampiezze di decadimento leptonico cosí come le transizioniM1 sono in accordo con l’esperimento.
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References
For recent reviews, see, for example,J. L. Rosner: inTechniques and Concepts of High Energy Physics, Proceedings of the NATOAdvanced Study Institute, St. Croix, 1980, edited byT. Ferbel (Plenum Press, New York, N. Y., 1981)
For recent reviews, see, for example,A. J. G. Hey andR. L. Kelly:Phys. Rep.,96, 71 (1983)
D. P. Stanley andD. Robson:Phys. Rev. D,21, 3180 (1980)
S. Ishida:Prog. Theor. Phys.,46, 1570, 1905 (1971)
S. Ono andF. Schöberl:Phys. Lett. B,118, 419 (1982).
F. Schöberl, P. Falkensteiner andS. Ono:Phys. Rev. D,30, 603 (1984).
P. Falkensteiner, D. Flamm andF. Schöberl:Phys. Lett. B,131, 450 (1983).
P. Kalkensteiner, D. Flamm andF. Schöberl:Z. Phys. C,23, 275 (1984).
M. Abramowitz andI. A. Stegun:Handbook of Mathematical Functions (Dover Publication, New York, N. Y., 1972).
P. Falkensteiner, H. Grosse, F. Schöberl andP. Hertel:Comput. Phys. Commun.,34, 287 (1985).
D. Gromes:Z. Phys. C,11, 147 (1981).
H. Pietschmann andW. Thirring:Phys. Lett.,21, 713 (1966).
R. Van Royen andV. F. Weisskopf:Nuovo Cimento,50, 617 (1967)
E. C. Poggio andH. J. Schnitzer:Phys. Rev. D,20, 1175 (1979).
G. Feinberg andJ. Sucher:Phys. Rev. Lett.,35, 1740 (1975).
K. S. Kang andJ. Sucher:Phys. Rev. D,18, 2698 (1978).
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Work supported in part by «Found zur Förderung der wissenschaftlichen Forschung in Österreich», Project No. 5444.
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Schöberl, F. A nonperturbative treatment of spin-dependent interactions of light and heavy quarkonia. Nuov Cim A 94, 79–87 (1986). https://doi.org/10.1007/BF02894807
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DOI: https://doi.org/10.1007/BF02894807