# Model solution for volume reflection of relativistic particles in a bent crystal

@article{Bondarenco2010ModelSF, title={Model solution for volume reflection of relativistic particles in a bent crystal}, author={M. V. Bondarenco}, journal={Physical Review A}, year={2010}, volume={82}, pages={042902} }

For volume reflection process in a bent crystal, exact analytic expressions for positively- and negatively-charged particle trajectories are obtained within a model of parabolic continuous potential in each interplanar interval, with the neglect of incoherent multiple scattering. In the limit of the crystal bending radius greatly exceeding the critical value, asymptotic formulas are obtained for the particle mean deflection angle in units of Lindhard's critical angle, and for the final beam…

## 8 Citations

### Mean volume reflection angle

- PhysicsPhysical Review Accelerators and Beams
- 2020

The mean volume reflection angle of a high-energy charged particle passing through a bent crystal is expressed as an integral involving the effective interplanar potential over a single crystal…

### Simulations of planar channeling of relativistic nuclei in a bent crystal

- Physics
- 2012

The motion of relativistic nuclei through an oriented bent crystal was considered on the basis of a developed computer code. To get the angular distributions of projectiles behind the crystals and to…

### NUCLEAR INTERACTIONS AND MULTIPLE COULOMB SCATTERING AT VOLUME REFLECTION

- Physics
- 2012

Volume reflection [1] is a phenomenon when a fast charged particle reflects from a family of curved atomic planes of an oriented bent crystal to side opposite to that of the crystal bending. It is…

### Angular asymmetry of the nuclear interaction probability of high energy particles in short bent crystals

- Physics
- 2020

The rate of inelastic nuclear interactions in a short bent silicon crystal was precisely measured for the first time using a 180 GeV/c positive hadron beam produced in the North Experimental Area of…

### Interference in spectrum of radiation from doubly scattered charged particle

- Physics
- 2017

Existence of different types of interference in the spectrum of radiation emitted by a doubly hard scattered electron is demonstrated. The spectrum develops oscillations in two regions: the hard,…

### Implementation of multistrip crystals to protect the septum magnets and to generate gamma radiation

- PhysicsPhysical Review Accelerators and Beams
- 2019

## References

SHOWING 1-10 OF 20 REFERENCES

### Crystal Channeling and Its Application at High-Energy Accelerators

- Physics, Materials Science
- 1997

1. Channeling Phenomenon.- 2. Beam Deflection by Bent Crystals.- 3. Experimental Studies of High-Energy Channeling and Bending Phenomena in Crystals.- 4. Crystal Extraction.- 5. The Use of Crystal…

### Theory of Atomic Collisions

- PhysicsNature
- 1951

The Theory of Atomic CollisionsBy N. F. Mott and H. S. W. Massey. (International Series of Monographs on Physics.) Second edition. Pp. xv + 388. (Oxford: Clarendon Press; London: Oxford University…

### Asymptotics and Special Functions

- Education
- 1974

A classic reference, intended for graduate students mathematicians, physicists, and engineers, this book can be used both as the basis for instructional courses and as a reference tool.

### Phys

- Rev. ST Accel. Beams 10
- 2007

### Kongel

- Dan. Vidensk. Selsk., Mat.-Fys. Medd. 34(14)
- 1965

### Nucl

- Instrum. Methods B 26
- 1987

### Nucl

- Instrum. Methods B 262
- 2007

### Phys

- Rev. A 81
- 2010

### Diffraction Effects in Semi-Classical Scattering

- 1992