Summary
The one-gluon exchange is iterated self-consistently within the framework of the Friedberg-Lee soliton bag model. While the parameters of the model are determined from fitting only the nucleon mass, the delta mass and the proton r.m.s. charge radius, the model is able to predict the static properties of other baryons and mesons, which compare favorably with the available experimental data. Eesults obtained in the self-consistent iterative approach differ significantly from those given by the calculations in which one-gluon exchange is only treated perturbatively. In particular, the iterative one-gluon exchange can lead to a light pion mass and to improved charge form factors.
Riassunto
Si ripete lo scambio di un gluone in modo auto consistente nell’ambito del modello a salla solitonico di Friedberg-Lee. Mentre i parametri del modello sono determinati approssimando solo la massa del nucleone, la massa di delta ed il raggio quadratico medio di carioa del protone, il modello è in grado di prevedere le proprietà statiche di altri barioni e mesoni, che si confrontano bene con i dati sperimentali disponibili. I risultati ottenuti nell’approccio autoconsistente iterativo differiscono significativamente da quelli dati dai calcoli in cui lo scambio di un gluone è trattato perturbativamente. In particolare lo scambio iterativo di un gluone puÒ portare alla massa di un pione leggero e a fattori di forma di carica migliorati.
Similar content being viewed by others
References
A. Chodos, R. L. Jaffe, K. Johnson, C.B. Thorn andV. F. Weisskopf:Phys. Rev. D,9, 3471 (1974);A. Chodos, R. L. Jaffe, K. Johnson andC. B. Thorn:Phys. Rev. D,10, 2599 (1974).
W. A. Bardeen, M.S. Chanowitz, S.D. Drell, M. Weinstein andT.-M. Yan:Phys. Rev. D,11, 1094 (1975).
R. Friedberg andT. D. Lee:Phys. Rev. D,15, 1694 (1977);16, 1096 (1977);18, 2623 (1978).
S. Kahana, G. Ripka andV. Soni:Nucl. Phys. A,415, 351 (1984).
R. Seki andS. Ohta:Nucl. Phys. A,437, 541 (1985).
V. Vento, M. Rho, E.M. Nyman, J. H. Jun andG. E. Brown:Nuol. Phys. A,345, 413 (1980);M. Rho, A. S. Goldhaber andG. E. Beown:Phys. Rev. Lett.,51, 747 (1983);G. E. Brown, A. D. Jackson, M. Rho andV. Vento:Phys. Lett. B,140, 285 (1984).
W.-Y. P. Hwang:Phys. Lett. B,116, 37 (1982);M. C. Birse andM. K. Banarjee:Phys. Lett. B,136, 284 (1984);Phys. Rev. D,31, 118 (1985).
G. A. Miller, A. W. Thomas andS. Théberge:Phys. Lett. B,91, 192 (1980);A. W. Thomas, S. Théberge andG. A. Miller:Phys. Rev. D,24, 216 (1981).
A. W. Thomas:Adv. Nucl. Phys.,13, 1 (1983).
G. KÄlbermann andJ. M. Eisenberg:Phys. Lett. B,139, 377 (1984).
A. Chodos andC.B. Thoen:Phys. Rev. D,12, 2733 (1975).
R. Goldflam andL. Wilets:Phys. Rev. D,25, 1951 (1982).
R. Saly andM. K. Sundaresan:Phys. Rev. D,29, 525 (1984).
Th. Köppel andM. Harvey:Phys. Rev. D,31, 171 (1985).
L. R. Dodd andM. A. Lohe:Phys. Rev. D,32, 1816 (1985).
R. Goldflam andL. Wilets:Comments Nuol. Part. Phys.,12, 191 (1984).
L. S. Celenza andC.M. Shakin:Phys. Rev. C,28, 2042 (1983);L. S. Celenza, A. Rosenthal andC.M. Shakin:Phys. Rev. Lett.,53, 892 (1984);Phys. Bev. C,31, 212, 232 (1985).
M. Bickeböller, M. C. Birse, H. Marschall andL. Wilets:Phys. Rev. D,31, 2892 (1985).
T. DeGrand, R. L. Jaffe, K. Johnson andJ. Kiskis:Phys. Rev. D,12, 2060 (1975).
T. Appelquist:Exotic Atoms ’79: Fundamental Interactions and Structure of Matter, edited by K. Crowe, J. Duclos, G. Fiorentini and G. Toeelli (Plenum Press, New York, N. Y., 1980), p. 79;T. Appelquist, R. M. Barnett andK. Lane:Annu. Rev. Nucl. Part. Sci.,28, 387 (1978).
Q. Haider andL. C. Liu:J. Phys. G,12, L75 (1986).
T. D. Lee:Phys. Rev. D,19, 1802 (1979).
T. D. Lee:Particle Physics and Introduction to Field Theory (Harwood Academic, New York, N. Y., 1981).
J.-L. Dethier, K. Goldflam, E.M. Henley andL. Wilets:Phys. Rev. D,27, 2191 (1983).
C. W. Wong andK. F. Liu:Phys. Rev. Lett.,41, 82 (1978);C. W. Wong:Phys. Rev. D,24, 1416 (1981);K. F. Liu andC. W. Wong:Phys. Lett. B,113, 1 (1982).
I.-F. Lan andC. W. Wong:Nucl. Phys. A,423, 397 (1984).
J. F. Donoghue andK. Johnson:Phys. Rev. D,21, 1975 (1980);C. E. DeTar andJ. F. Donoghue:Annu. Rev. Nucl. Part. Sci.,33, 235 (1983).
J. Bartelski, A. Szymacha, Z. Ryzak, L. Mankiewicz andS. Tatur:Nucl. Phys. A,424, 484 (1984);D. Tadić andG. Tadić:Phys. Rev. D,29, 981 (1984);31, 1700 (1985).
F. E. Close:An Introduction to Quarks and Partons (Academic Press, New York, N.Y., 1982).
Particle Data Group:Rev. Mod. Phys.,56, S1 (1984); for pion r.m.s. charge radius, seeG. T. Adylov, F. K. Aliev, D. Yu. Bardin, W. Gajewski, I. Ion, B. A. Kulakov, G. V. Micelmachee, B. Niczyporuk, T. S. Nigmanov, E. N. Tsyganov, M. Turala, A. S. Vodopianov, K. Wala, E. Dally, D. Deickey, A. Liberman, P. Shepard, J. Tomkins, C. Buchanan andJ. Poirier:Phys. Lett. B,51, 402 (1975);E. B. Dally, J. M. Hauptman, J. Kubic, D. H. Stork, A. B. Watson, Z. Guzik, T. S. Nigmanov, V. D. Riabtsov, E. N. Tsyganov, A. S. Vodopianov, A. Beretvas, A. Geigorian, J. C. Tompkins, T. E. Toohig, A. A. Wehmann, J. A. Poirier, C. A. Rey, J. T. Volk, P.D. Rapp andP.P. Shepard:Phys. Rev. Lett.,48, 375 (1982);S. R. Amendolia, B. Badelek, G. Batignani, G. A. Beck, E. H. Bellamy, E. Ber- tolucci, D. Bettoni, H. Bilokon, A. Bizzeti, G. Bologna, L. Bosisio, C. Brada- schia, M. Budinich, M. Dell’Orso, B. D’Ettorre Piazzoli, M. Enorini, F. L. Fab- bri, F. Fidecaro, L. Foà, E. Focardi, S. G. F. Frank, P. Giannetti, A. Giazotto, M. A. Giorgi, J. Harvey, G. P. Heath, M. P. J. Landon, P. Laurelli, F. Liello, G. Mannocchi, P. V. March, M. S. Marrocchesi, D. Menasce, A. Menzione, E. Me- roni, E. Milotti, L. Moroni, P. Picchi, F. Ragusa, L. Ristori, L. Rolandi, C. Salt- marsh, A. Saoucha, L. Satta, A. Scribano, A. Stefanini, J. A. Strong, R. Ten- chini, G. Tonelli, G. Triggiani andA. Zallo:Phys. Lett. B,138, 454 (1984).
G. G. Simon, Ch. Schmitt, F. Borkowski andV. H. Walther:Nucl. Phys. A,333, 381 (1980).
C. J. Bebek, C. N. Brown, S.D. Holmes, E.V. Kline, F. M. Pipkin, S. Raither, L. K. Sisterson, A. Browman, K. M. Hanson, D. Larson andA. Silverman:Phys. Rev. D,17, 1693 (1978).
V. Bernard, R. Brockman, M. Schaden, W. Weise andE. Werner:Nucl. Phys. A,412, 349 (1984), and references therein.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Haider, Q., Liu, L.C. Hadron static properties obtained from soliton bag model with iterative one-gluon exchange. Nuov Cim A 95, 173–194 (1986). https://doi.org/10.1007/BF02903040
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02903040