VERY HIGH-ENERGY COLLISIONS OF HADRONS

VERY HIGH-ENERGY COLLISIONS OF HADRONS

15 DECEMBER 1969 | Richard P. Feynman
The passage discusses the theoretical predictions and implications for vector and axial vector mesons, as well as the behavior of cross sections in very high-energy hadron collisions. For vector and axial vector mesons, the equations (14) and (15) are derived, leading to specific values such as \( m_{K \bar{A}} \approx 1200 \, \text{MeV} \) and compatibility with Weinberg's second sum-rule predictions for \( S W(2) \) symmetry. The work is supported by various references and is part of ongoing research. In the section on very high-energy hadron collisions, Richard P. Feynman proposes that the longitudinal-momentum distributions in these collisions can be analyzed using variables like \( x = P_z / W \) and \( Q \). He distinguishes between exclusive and inclusive experiments, noting that exclusive reactions should vary as \( s^{\alpha(t)-2} \) or \( (W^2)^{2\alpha(t)-2} \), while inclusive experiments should approach a constant as \( W \to \infty \). The paper also discusses the implications of these findings for understanding the behavior of particles in high-energy collisions. D. P. Roy's work explores the exchange degeneracy between \( N_{\alpha} \) and \( N_{\gamma} \) contributions in pion photoproduction, which is exact for \( u = M^2 \) but approximate for \( u \approx 0 \). This degeneracy may explain the absence of a wrong-signature dip in backward photoproduction, a phenomenon observed by Anderson et al. The analysis is based on gauge invariance and duality, leading to the construction of specific amplitudes and the separation of resonance contributions in the imaginary part of the \( u \)-channel Regge exchange.The passage discusses the theoretical predictions and implications for vector and axial vector mesons, as well as the behavior of cross sections in very high-energy hadron collisions. For vector and axial vector mesons, the equations (14) and (15) are derived, leading to specific values such as \( m_{K \bar{A}} \approx 1200 \, \text{MeV} \) and compatibility with Weinberg's second sum-rule predictions for \( S W(2) \) symmetry. The work is supported by various references and is part of ongoing research. In the section on very high-energy hadron collisions, Richard P. Feynman proposes that the longitudinal-momentum distributions in these collisions can be analyzed using variables like \( x = P_z / W \) and \( Q \). He distinguishes between exclusive and inclusive experiments, noting that exclusive reactions should vary as \( s^{\alpha(t)-2} \) or \( (W^2)^{2\alpha(t)-2} \), while inclusive experiments should approach a constant as \( W \to \infty \). The paper also discusses the implications of these findings for understanding the behavior of particles in high-energy collisions. D. P. Roy's work explores the exchange degeneracy between \( N_{\alpha} \) and \( N_{\gamma} \) contributions in pion photoproduction, which is exact for \( u = M^2 \) but approximate for \( u \approx 0 \). This degeneracy may explain the absence of a wrong-signature dip in backward photoproduction, a phenomenon observed by Anderson et al. The analysis is based on gauge invariance and duality, leading to the construction of specific amplitudes and the separation of resonance contributions in the imaginary part of the \( u \)-channel Regge exchange.
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Understanding Very high-energy collisions of hadrons