Some predictions of the Dashen--Gell-Mann program concerning the asymptotic behavior of form factors and the threshold behavior of the scaling functions. nu. W/sub 2/. I. General considerations and the case of mesons

作者: M. I. Pavković

DOI: 10.1103/PHYSREVD.13.2123

关键词: Mathematical physicsTheory of relativityQuark modelPhysicsCurrent algebraMomentumQuantum mechanicsMesonQuarkHadronDiquark

摘要: It is shown, within a specific model, that the quark-model representations of current algebra at infinite momentum can be reconciled with relativity requirement in restricted kinematical domain large transfers (in configuration space this corresponds to values particle wave function neighborhood origin). We conjecture feature holds true general and then make number predictions concerning asymptotic behavior form factors threshold scaling functions $\ensuremath{\nu}{W}_{2}$. The mesons are treated as usual, namely quark-antiquark pairs, while for baryons it assumed two three quarks glued together (diquark), leaving only one space-time coordinate free. In way dynamically complicated issue bodies reduced more manageable case bodies.

参考文章(14)
H. J. Melosh, Quarks: Currents and constituents Physical Review D. ,vol. 9, pp. 1095- 1112 ,(1974) , 10.1103/PHYSREVD.9.1095
Roger Dashen, Murray Gell-Mann, Representation of Local Current Algebra at Infinite Momentum Physical Review Letters. ,vol. 17, pp. 340- 343 ,(1966) , 10.1103/PHYSREVLETT.17.340
K. Young, SATURATION OF DENSITY-CHARGE ALGEBRA. Physics Letters B. ,vol. 38, pp. 241- 244 ,(1972) , 10.1016/0370-2693(72)90389-9
Shau-Jin Chang, Roger Dashen, L. O'Raifeartaigh, Properties of Current Algebra at Infinite Momentum Physical Review. ,vol. 182, pp. 1805- 1818 ,(1969) , 10.1103/PHYSREV.182.1805
Shau-Jin Chang, Roger Dashen, L. O'Raifeartaigh, MOMENTUM-TRANSFER-INDEPENDENT ANGULAR RELATIONS AND SOLUTIONS TO THE ISOSPIN-FACTORED CURRENT ALGEBRA. Physical Review. ,vol. 182, pp. 1819- 1836 ,(1969) , 10.1103/PHYSREV.182.1819
H. Leutwyler, CURRENT ALGEBRA: A SIMPLE MODEL WITH NONTRIVIAL MASS SPECTRUM. Physical Review Letters. ,vol. 20, pp. 561- 563 ,(1968) , 10.1103/PHYSREVLETT.20.561
H. Bebié, F. Ghielmetti, V. Gorgé, H. Leutwyler, Current Algebra and Infinite-Component Fields Physical Review. ,vol. 177, pp. 2133- 2145 ,(1969) , 10.1103/PHYSREV.177.2133
H. Bebié, V. Gorgé, H. Leutwyler, Light-cone structure of infinite-component fields Annals of Physics. ,vol. 74, pp. 524- 554 ,(1972) , 10.1016/0003-4916(72)90150-9
S. D. Drell, A. C. Finn, Michael H. Goldhaber, Electromagnetic Form Factors for Composite Particles at Large Momentum Transfer Physical Review. ,vol. 157, pp. 1402- 1411 ,(1967) , 10.1103/PHYSREV.157.1402