Meson-loop contributions to the ρ-ω mass splitting and ρ charge radius

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 60, Issue 5, 1999, Pages

  Walawalkar, Sameer ^a   Capstick, Simon ^a  

^a Florida State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17144362554     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.60.054030     Document Type: Article

References (28)

1. K. L. Mitchell and P. C. Tandy, Phys. Rev. C 55, 1477 (1995).
2. D. B. Leinweber and T. D. Cohen, Phys. Rev. D 49, 3512 (1994).
3. P. Geiger and N. Isgur, Phys. Rev. Lett. 67, 1066 (1991)
4. P. GeigerN. IsgurPhys. Rev. D 41, 1595 (1990)
5. Phys. Rev. DP. GeigerN. Isgur44, 799 (1991).
6. L. C. L. Hollenberg, C. D. Roberts, and B. H. J. McKellar, Phys. Rev. C 46, 2057 (1992).
7. F. T. Hawes and M. A. Pichowsky, Phys. Rev. C 59, 1743 (1999).
8. R. Alkofer, A. Bender, and C. D. Roberts, Int. J. Mod. Phys. A 10, 3319 (1995)
9. D. B. Leinweber and T. D. Cohen, Phys. Rev. D 47, 2147 (1993).
10. M. A. Pichowsky, “Diffractive radii of hadrons” (in preparation).
11. C. J. Burden, C. D. Roberts, and M. J. Thomson, Phys. Lett. B 371, 163 (1996)
12. C. D. Roberts, Nucl. Phys. A605, 475 (1996).
13. M. A. Ivanov, Yu. L. Kalinovsky, P. Maris, and C. D. Roberts, Phys. Rev. C 57, 1991 (1998)
14. Yu. Kalinovsky, K. L. Mitchell, and C. D. Roberts, Phys. Lett. B 399, 22 (1997)
15. M. A. Pichowsky and T.-S. H. Lee, Phys. Rev. D 56, 1644 (1997)
16. R. Alkofer and C. D. Roberts, Phys. Lett. B 369, 101 (1996)
17. Phys. Lett. BM. R. Frank, K. L. Mitchell, C. D. Roberts, and P. C. Tandy, 359, 17 (1995).
18. M. R. Frank and C. D. Roberts, Phys. Rev. C 53, 390 (1996).
19. P. Maris and C. D. Roberts, Phys. Rev. C 56, 3369 (1997)
20. Phys. Rev. CP. MarisC. D. Roberts58, 3659 (1998).
21. C. D. Roberts and A. G. Williams, Prog. Part. Nucl. Phys. 33, 477 (1994), and references therein.
22. C. D. Roberts, lectures given at the 11th Physics Summer School on Frontiers in Nuclear Physics, Australia National University, Canberra, Australia, 1998, nucl-th/9807026.
23. C. J. Burden, L. Qian, C. D. Roberts, P. C. Tandy, and M. J. Thomson, Phys. Rev. C 55, 2649 (1997).
24. The importance of including higher Dirac moments in decay processes like (Formula presented)ππ was suggested to us by E. S. Swanson, based on quark-model studies of meson decays [see P. Geiger and E. S. Swanson, Phys. Rev. D 50, 6855 (1994)]. It has since been verified, in calculation of the decay (Formula presented)ππ using the model of Ref. 14, that discarding all but the term with the largest strength (proportional to (Formula presented) in the pion Bethe-Salpeter amplitude tends to increase the coupling constant (Formula presented) by 71% [see P. C. Tandy, in Proceedings of the IVth Workshop on Quantum Chromodynamics, Paris, 1998
25. P. GeigerE. S. Swansonnucl-th/9812005].
26. In contrast to decays of a vector meson into two pseudoscalar mesons, the transition amplitude of a vector-meson coupling to a vector and pseudoscalar meson is rather insensitive to sub-leading Dirac amplitudes in the meson Bethe-Salpeter amplitudes. Hence, the value for the coupling constant (Formula presented) obtained herein is more reliable than the result for (Formula presented) obtained in Ref. 5.
27. V. Bernard, N. Kaiser, and U. G. Meissner, Eur. Phys. J. A 4, 259 (1999).
28. J. W. Durso, Phys. Lett. B 184, 348 (1987).