Summary
We derive, in the SLAC lattice QCD theory, the relevant large-distance effective interactions for the processes\(c + \bar s \to u + \bar d + G\) and\(c + \bar s \to u + \bar d + q\bar q\), q=u, d, s, where G is a gluon. In this way, we find the F+ decay rate Γ(F+ → all) ⋍ 2.1Γ(D+ → all) form F=2.02 GeV.
Riassunto
Si deriva, nella teoria del reticolo SLAC QCD, le rilevanti interazioni efficaci ad ampia distanza per i processi\(c + \bar s \to u + \bar d + G\) e\(c + \bar s \to u + \bar d + q\bar q\), q=u, d, s, dove G è un gluone. In questo modo, si trova la velocità di decadimento di F+ Γ(F+ → all) ⋍ 2.1 · · Γ(D+ → all) per unm F=2.02 GeV.
Реэюме
В рамках теории SLAC квантовой хромодинамики на рещетке мы выводим соответствуюшие зффективные вэаимодействия на больщих расстояниях для процессов\(c + \bar s \to u + \bar d + G\) и\(c + \bar s \to u + \bar d + q\bar q\), q=u, d s, где G есть глюон. Мы находим, что интенсивность F+ распада составляет Γ(F+ → все)=2.1Γ(D+ → все) дляm F=2.02 ГзВ.
Similar content being viewed by others
References
See, for example,G. Kalmus:Proceedings of the XXI International Conference on High Energy Physics, Paris, July 1982, and references therein.
S. D. Drell, M. Weinstein andS. Yankielowicz:Phys. Rev. D,14, 487, 1627 (1976);M. Weinstein, S. D. Drell, H. R. Quinn andB. Svetitsky:Phys. Rev. D,20, 1190 (1980).
B. F. L. Ward: Trieste preprint IC/82/183 (1982);Phys. Rev. D,28, 1215 (1983);Phys. Rev. D,31, 2385 (1985).
W. Bernreuther, O. Nachtmann andB. Stech:Z. Phys. C,4, 257 (1980);H. Fritzsch andP. Minkowski:Phys. Lett. B,90, 455 (1980);S. P. Rosen:Phys. Rev. Lett.,44, 4 (1980);M. Bander, B. Silverman andA. Soni:Phys. Rev. Lett.,44, 7 (1980);I. I. Y. Bigi:Nucl. Phys. B,177, 395 (1981).
SLAC HFPhoton Collaboration (K. Abe et al.):Phys. Rev. Lett.,48, 1526 (1982).
Some of the early works on the gauge-theoretic view of weak and electromagnetic interactions are those byJ. Schwinger:Ann. Phys. (N. Y.),2, 407 (1957);A. Salam andJ. Ward:Nuovo Cimento,11, 568 (1959);S. L. Glashow:Nucl. Phys.,22, 579 (1961);A. Salam andJ. Ward:Phys. Lett.,13, 168 (1964);A. Salam: inElementary Particle Theory, edited byN. Svartholm (Academic Press, New York, N. Y., 1968);S. Weinberg:Phys. Rev. Lett.,19, 1264 (1967).
J. D. Bjorken andS. D. Drell:Relativistic Quantum Mechanics (McGraw-Hill Book Co., Inc., New York, N. Y., 1964).
D. J. Gross andF. Wilczek:Phys. Rev. Lett.,30, 1343 (1973);H. D. Politzer:Phys. Rev. Lett.,30, 1346 (1973);G. ’t Hooft: unpublished;M. K. Gaillard andB. W. Lee:Phys. Rev. Lett.,33, 108 (1974);G. Altarelli andL. Maiani:Phys. Lett. B,52, 351 (1974);J. Ellis, M. K. Gaillard andD. V. Nanopoulos:Nucl. Phys. B,100, 313 (1975);N. Cabibbo andL. Maiani:Phys. Lett. B,73, 418 (1978).
Our value of ΛQCD is the average value of several experiments for the one-loop-5-flavoured QCD scale as explained in ref. (10).
B. F. L. Ward:Phys. Rev. D,25, 1330 (1982).
See, for example,J. M. Cornwall andA. Soni: preprint UCLA/82/TEP 13 (1982);P. G. O. Freund andY. Nambu:Phys. Rev. Lett.,34, 1645 (1975);B. Berg:Phys. Lett. B,97, 401 (1980);J. F. Donoghue, K. Johnson andB. A. Li:Phys. Lett. B,99, 416 (1981);K. Ishikawa, M. Teper andG. Schierholz: preprint DESY 81-089 (1981);G. Bhanot andC. Rebbi:Nucl. Phys. B,180 (FS2), 469 (1981);H. Hamber andG. Parisi:Phys. Rev. Lett.,47, 1792 (1981);Crystal Ball Collaboration (C. Edwards et al.):Phys. Rev. Lett.,48, 458 (1982);49, 259 (1982);C. Bernard:Phys. Lett. B,108, 431 (1982);C. Peterson, T. H. Hansson andK. Johnson:Phys. Rev. D,26, 415 (1982), and references therein.
Here, we follow ref. (3) and determine a such that, for any relative momentum componentp i ,i=x, y, z, |p i |<π/a corresponds to 99.7% of the F+ wave function in ref. (13).
E. Eichten:Phys. Rev. D,22, 1819 (1980);E. Eichten, K. Gottfried, T. Kinoshita, K. D. Lane andT.-M. Yan:Phys. Rev. D,21, 203 (1980), and references therein.
R. Van Royen andV. F. Weisskopf:Nuovo Cimento A,50, 617 (1967).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ward, B.F.L. F+ decay in SLAC lattice QCD. Nuov Cim A 97, 377–384 (1987). https://doi.org/10.1007/BF02734464
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02734464