Summary
We use current algebra in the off-mass-shell limite (q 2π →0) to study radiative pion-nucleon scattering. We disperse both the pions and the photon thus treating the pions symmetrically. The difficulty connected with gauge invariance arising because of our limiting procedure is discussed. Our calculations, which are valid in the low-energy region, give results which are comparable to that of the static-model predictions.
Riassunto
Si usa l'algebra delle correnti nel limite fuori dello strato delle masse (q 2π →0) per studiare lo scattering irraggiante pione-nucleone. Si decompongono entrambi i pioni ed il fotone trattando i pioni simmetricamente. Si discute la difficoltà connessa con l'invarianza di gauge derivante dal procedimento di limite. I calcoli, validi nella regione a bassa energia, danno risultati confrontabili con quelli delle previsioni del modello statico.
Резюме
Мы используем алгебру токов в пределе (q 2π →0) вне массовой поверхности для изучения радиационного пион-нуклонного рассеяния. Мы рассеиваем и пионы и фотон, тем самым рассматривая пионы симметрично. Обсуждается трудность, связанная с калибровочной инвариантностью, возникающей из-за нашей предельной процедуры. Наши вычисления, кторые справедливы в области низких энергий, дают результаты, сравнимые с предсказаниями статистической модели.
Similar content being viewed by others
References
SeeS. L. Adler andR. F. Dashen:Current Algebras and Application to Particle Physics (New York), and the papers therein. Also, see for example,Y. Tomozawa:Nuovo Cimento,46 A, 707 (1967);Lay-nam Chang:Phys. Rev.,162, 1497 (1967);P. Carruthers andH. W. Huang:Phys. Lett.,24 B, 464 (1967).
See for example:T. Das, V. S. Mathur andS. Okubo:Phys. Rev. Lett.,19, 1067 (1967);H. J. Schnitzer:Phys. Rev.,158, 1471 (1967).D. Bondyopadhyay andK. C. Gupta:Three body weak photonic decays of hyperons, to be published inPhys. Rev.;S. C. Bhargava:Current algebra and double pion photoproduction, submitted toPhys. Rev.
H. J. Schnitzer andS. Weinberg:Phys. Rev.,164, 1828 (1967);R. Arnowitt, M. Freidman andP. Nath:Phys. Rev. Lett.,19, 1085 (1967);J. S. Gerstein andH. J. Schnitzer:Phys. Rev., June (1968);J. Schwinger:Phys. Lett.,24 B, 473 (1967);J. A. Cronin:Phys. Rev.,161, 1483 (1967);S. Weinberg:Phys. Rev.,166, 1568 (1968);B. W. Lee andH. T. Nieh:Phys. Rev.,166, 1507 (1968).
S. Fubini andG. Furlan:Dispersion theory of energy limits, preprint MIT (1968).
M. Nauenberg:Phys. Lett.,22, 201 (1966);S. L. Adler andY. Dothan:Phys. Rev.,151, 1267 (1966);S. L. Adler andW. L. Weisberger:Phys. Rev.,169, 1392 (1968);A. P. Balachandran, M. G. Gunzik, P. Narayanaswami andF. Nicodemi:Ann. of Phys.,45, 339 (1967).
R. Kumar: to be published.
R. E. Cutkosky:Phys. Rev.,109, 209 (1958);113, 727 (1959).
P. Carruthers:Phys. Rev.,134, B 638 (1964).
J. D. Bjorken andS. Drell:Relativistic Quantum Mechanics (New York, 1964).
M. Gell-Mann:Phys. Rev.,125, 1067 (1962);Physics,1, 63 (1964).
M. Gell-Mann andM. Levy:Nuovo Cimento,16, 705 (1960).
R. P. Feynman andM. Gell-Mann:Phys. Rev.,109, 193 (1958).
S. L. Adler:Phys. Rev.,137, B 1022 (1965);139, B 1638 (1965).
H. J. Schnitzer:Phys. Rev.,158, 1471 (1967).
M. Gourdin andPh. Salin:Nuovo Cimento,27, 193, 303 (1963).
C. H. Albright andL. S. Liu:Phys. Rev. Lett.,13, 673 (1964).
V. E. Barnes,et al.: CERN Report 63-27, Track Chamber Division. 22 July 1963 (unpublished).
Author information
Authors and Affiliations
Additional information
Traduzione a cura della Redazione.
Перевебено ребакцией.
Rights and permissions
About this article
Cite this article
Bhargava, S.C. Radiative pion-nucleon scattering. Nuovo Cimento A (1965-1970) 58, 815–823 (1968). https://doi.org/10.1007/BF02825372
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02825372