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The coherent inelastic processes on nuclei at ultrarelativistic energies
| Content Provider | Semantic Scholar |
|---|---|
| Author | Lyuboshitz, V. L. Lyuboshitz, V. V. |
| Abstract | The coherent inelastic processes of the type a → b, which may take place in the collisions of hadrons and γ-quanta with nuclei at very high energies (the nucleus remains the same), are theoretically investigated. The influence of matter inside the nucleus is taken into account by using the optical model based on the concept of refraction index. Analytical formulas for the effective cross-section σcoh(a→ b) are obtained, taking into account that at ultrarelativistic energies the main contribution into σcoh(a → b) is provided by very small transferred momenta in the vicinity of the minimum longitudinal momentum transferred to the nucleus. 1 Momentum transfer at ultrarelativistic energies and coherent reactions on nuclei In the present work we will investigate theoretically the processes of inelastic coherent scattering at collisions of particles with nuclei at very high energies. It is essential that at ultrarelativistic energies the minimum longitudinal momentum transferred to a nucleus tends to zero, and in connection with this the role of coherent processes increases. Let fa+N→b+N(q) = [Zfa+p→b+p(q) + (A − Z)fa+n→b+n(q)]/A be the average amplitude of an inelastic process a + N → b + N on a separate nucleon in the rest frame of the nucleus (laboratory frame). Here Z is the number of protons in the target nucleus, (A − Z) is the number of neutrons in the target nucleus, q = kb − ka is the momentum transferred to the nucleon, ka and kb are the momenta of the particles a and b, respectively. In the framework of the impulse approximation [1], taking into account the interference phase shifts at the inelastic scattering of a particle a on the system of nucleons, the expression for the effective cross-section of the coherent inelastic process a→ b on a nucleus can be presented in the following form: σcoh(a→ b) = ∫ |fa+N→b+N (q)|P (q)dΩb, (1) where dΩb is the element of the solid angle of flight of the particle b in the laboratory frame, and the magnitude P (q) has the meaning of the probability of the event that at the collision with the particle a all the nucleons will remain in the nucleus and the quantum state of the nucleus will not change. Let us introduce the nucleon density n(r) normalized by the total number of nucleons in the nucleus: ∫ V n(r)d 3r = A, where the integration is performed over the volume of the nucleus. Then P (q) = ∣∣ ∫ V n(ρ, z) exp(−iq⊥ρ) exp(−iq‖z)dρ dz ∣∣ 2 . (2) |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://indico.desy.de/indico/event/372/session/17/contribution/62/material/paper/0.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Approximation Arabic numeral 0 Cell Nucleus Coherence (physics) Dependence Emoticon Energy, Physics Interference (communication) Ka band Neutrons Nucleons Occur (action) Protons Quantum state Software propagation Stationary process Stationary state Subatomic particle Subsurface scattering collision |
| Content Type | Text |
| Resource Type | Article |
