M. Samiullah

O(3, 1) symmetry and the forward compton scattering of virtual photons at high energies

Abstract The high-energy behaviour of the forward Compton scattering of virtual photons is studied within the context of O(3, 1) symmetry. The results are compared with the predictions of the Regge model and various implications of the asymptotic behaviour are discussed.

Lorentz-Pole analysis of the high-energy reaction (1236)

We have investigated the high-energy reaction Open image in new window using the formalism of Delbourgo, Salam and Strathdee. We found that the observed angular distribution may be understood if we assume that thej0=2 component of the Lorentz pole associated with the ϱ-trajectory is dominant at the neighbourhood of the point αρ=0.

O 3,1 symmetry and the high-energy reactions

SummaryA study of the high-energy reactions is presented within the framework ofO3,1 partial-wave expansion formalism for arbitrary momentum transfer. We found that the high-energy helicity amplitudes receive contributions from bothj0=0 andj0=1 Lorentz poles. We also found that the angular distribution has a minimum around the pointst≃−0.3 (GeV/c)2 andt≃−1.4 (GeV/c)2. Our predictions are compared with the results of the absorption model and with the experimental data for momentum of the incident antiprotonPL=5.7 (GeV/c).RiassuntoSi presenta uno studio delle reazioni di alta energia secondo il formalismo degli sviluppi d’onda parziale diO3,1 per momento trasferito arbitrario. Si trova che per le ampiezze di elicità di alta energia contributiscono entrambi i poli di Lorentzj0=0 ej0=1. Si trova anche che la distribuzione angolare ha un minimo intorno ai puntit≃−0.3 (GeV/c)2 et≃−1.4 (GeV/c)2. Si confrontano le nostre previsioni con i risultati del modello di assorbimento e con i risultati sperimentali per la quantità di moto dell’antiprotone incidentePL=5.7 (GeV/c).РезюмеПроводится исследование реакций при высоких энергиях в рамкахO3.1 формализма разложения по плоским волнам для произвольного передаваемого импульса. Мы находим, что спиральные амплитуды при высоких энергиях получают вклад от лорентцевских полюсовj0=0 иj0=1. Мы также получаем, что угловое распределение имеет минимум в окрестностях точекt≃−0.3 (ГэВ/с)2 иt≃−1.4 (ГэВ/с)2. Наши предсказания сравниваются с результатами абсорбционной модели и с экспериментальными данными для импульса падающего антипротонаPL=5.7 (ГэВ/с).

O(3, 1) Symmetry and the high-energy reaction πN → ηN∗ (1236)

We have analysed the high-energy behaviour of the reaction πN → ηN∗ within the framework of O(3,1) symmetry based on the Delbourgo, Salam and Strathdee formalism. We find that it is possible to fit the experimental data (within experimental errors) using the dominant contributions from the Lorentz states with jo = 2 and jo = 0 for the amplitudes 〈320|T|−120〉 and 〈120|T|120〉 respectively.

O(3,1) SYMMETRY AND THE HIGH-ENERGY REACTION

We have analysed the high-energy behaviour of the reaction πN → ηN∗ within the framework of O(3,1) symmetry based on the Delbourgo, Salam and Strathdee formalism. We find that it is possible to fit the experimental data (within experimental errors) using the dominant contributions from the Lorentz states with jo = 2 and jo = 0 for the amplitudes 〈320|T|−120〉 and 〈120|T|120〉 respectively.

pi

We have analysed the high-energy behaviour of the reaction πN → ηN∗ within the framework of O(3,1) symmetry based on the Delbourgo, Salam and Strathdee formalism. We find that it is possible to fit the experimental data (within experimental errors) using the dominant contributions from the Lorentz states with jo = 2 and jo = 0 for the amplitudes 〈320|T|−120〉 and 〈120|T|120〉 respectively.

N

We have investigated the high-energy reaction Open image in new window using the formalism of Delbourgo, Salam and Strathdee. We found that the observed angular distribution may be understood if we assume that thej0=2 component of the Lorentz pole associated with the ϱ-trajectory is dominant at the neighbourhood of the point αρ=0.

Yields

SummaryA study of the high-energy reactions is presented within the framework ofO3,1 partial-wave expansion formalism for arbitrary momentum transfer. We found that the high-energy helicity amplitudes receive contributions from bothj0=0 andj0=1 Lorentz poles. We also found that the angular distribution has a minimum around the pointst≃−0.3 (GeV/c)2 andt≃−1.4 (GeV/c)2. Our predictions are compared with the results of the absorption model and with the experimental data for momentum of the incident antiprotonPL=5.7 (GeV/c).RiassuntoSi presenta uno studio delle reazioni di alta energia secondo il formalismo degli sviluppi d’onda parziale diO3,1 per momento trasferito arbitrario. Si trova che per le ampiezze di elicità di alta energia contributiscono entrambi i poli di Lorentzj0=0 ej0=1. Si trova anche che la distribuzione angolare ha un minimo intorno ai puntit≃−0.3 (GeV/c)2 et≃−1.4 (GeV/c)2. Si confrontano le nostre previsioni con i risultati del modello di assorbimento e con i risultati sperimentali per la quantità di moto dell’antiprotone incidentePL=5.7 (GeV/c).РезюмеПроводится исследование реакций при высоких энергиях в рамкахO3.1 формализма разложения по плоским волнам для произвольного передаваемого импульса. Мы находим, что спиральные амплитуды при высоких энергиях получают вклад от лорентцевских полюсовj0=0 иj0=1. Мы также получаем, что угловое распределение имеет минимум в окрестностях точекt≃−0.3 (ГэВ/с)2 иt≃−1.4 (ГэВ/с)2. Наши предсказания сравниваются с результатами абсорбционной модели и с экспериментальными данными для импульса падающего антипротонаPL=5.7 (ГэВ/с).

etaN*(1236).

SummaryA study of the high-energy reactions is presented within the framework ofO3,1 partial-wave expansion formalism for arbitrary momentum transfer. We found that the high-energy helicity amplitudes receive contributions from bothj0=0 andj0=1 Lorentz poles. We also found that the angular distribution has a minimum around the pointst≃−0.3 (GeV/c)2 andt≃−1.4 (GeV/c)2. Our predictions are compared with the results of the absorption model and with the experimental data for momentum of the incident antiprotonPL=5.7 (GeV/c).RiassuntoSi presenta uno studio delle reazioni di alta energia secondo il formalismo degli sviluppi d’onda parziale diO3,1 per momento trasferito arbitrario. Si trova che per le ampiezze di elicità di alta energia contributiscono entrambi i poli di Lorentzj0=0 ej0=1. Si trova anche che la distribuzione angolare ha un minimo intorno ai puntit≃−0.3 (GeV/c)2 et≃−1.4 (GeV/c)2. Si confrontano le nostre previsioni con i risultati del modello di assorbimento e con i risultati sperimentali per la quantità di moto dell’antiprotone incidentePL=5.7 (GeV/c).РезюмеПроводится исследование реакций при высоких энергиях в рамкахO3.1 формализма разложения по плоским волнам для произвольного передаваемого импульса. Мы находим, что спиральные амплитуды при высоких энергиях получают вклад от лорентцевских полюсовj0=0 иj0=1. Мы также получаем, что угловое распределение имеет минимум в окрестностях точекt≃−0.3 (ГэВ/с)2 иt≃−1.4 (ГэВ/с)2. Наши предсказания сравниваются с результатами абсорбционной модели и с экспериментальными данными для импульса падающего антипротонаPL=5.7 (ГэВ/с).