Energy loss of ions channeled in a thin crystal

Petrović, S.; Miletić, L.; Nešković, N.

doi:10.1080/10420159708211572

Cited by 4 publications

(2 citation statements)

References 7 publications

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“…The mean-square an gu lar de vi a tion of the ion due to its col li sions with the elec trons of the crys tal and the ion beam di ver gence be fore its in ter ac tion with the crys tal are taken into ac count [11]. The en ergy loss strag gling ef fect is ne glected [13,14].…”

Section: Theorymentioning

confidence: 99%

Energy loss distributions of 7 TeV protons channeled in a bent silicon crystals

Stojanov

Petrović²,

Nesković³

2013

NUCL TECH RAD PROT

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The energy loss distributions of relativistic protons axially channeled through the bent <100> Si crystals, with the constant curvature radius, R = 50 m, are studied here. The proton energy is 7 TeV and the thickness of the crystal is varied from 1 mm to 5 mm, which corresponds to the reduced crystal thickness, L, from 2.1 to 10.6, respectively. The proton energy was chosen in accordance with the large hadron collider project, at the European Organization for Nuclear Research, in Geneva, Switzerland. The energy loss distributions of the channeled protons were generated by the computer simulation method using the numerical solution of the proton equations of motion in the transverse plane. Dispersion of the proton scattering angle caused by its collisions with the crystal’s electrons was taken into account. [Projekat Ministarstva nauke Republike Srbije, br. III 45006

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Section: Theorymentioning

confidence: 99%

Energy loss distributions of 7 TeV protons channeled in a bent silicon crystals

Stojanov

Petrović²,

Nesković³

2013

NUCL TECH RAD PROT

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“…where m e is the electron mass, v the proton velocity, n e = U th (x,y)/(4π ) the density of the crystal's electron gas averaged along the z axis, = ∂ 2 /∂x 2 + ∂ 2 /∂y 2 ,h the reduced Planck constant, and ω e = (4πe 2 n e /m e ) 1/2 the angular frequency of the electron gas oscillations induced by the proton [29,31]. The specific change of the dispersion of the proton channeling angle caused by its collisions with the electrons is included in the form…”

Section: Theorymentioning

confidence: 99%

Superfocusing of channeled protons and subatomic measurement resolution

et al. 2012

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In this work we analyze the superfocusing of protons channeled in a 100 Si thin crystal using the theory of crystal rainbows. The initial proton energy is 68 MeV and the proton beam incident angle is increased gradually from zero up to 30% of the critical angle for proton channeling. The reduced crystal thickness is varied around 0.250, the corresponding crystal thickness being 481.8 nm. The spatial distributions of channeled protons, obtained by the numerical solution of the proton equations of motion in the transverse position plane and a Monte Carlo computer simulation code, are explored as functions of the beam incident angle and reduced crystal thickness. They are analyzed via the corresponding mappings of the impact parameter plane to the transverse position plane, which are characterized by the rainbow effect. The performed analysis shows that it is possible to focus the beam within the region of the radius considerably below the Bohr radius. The obtained results provide the theoretical basis for the possible development of a measurement technique with the picometer resolution-the rainbow subatomic microscopy.

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