Sinesquared  Potential  and  Beam  Extraction in Circulation  Accelerator  by  Bent  Crysta

FAN  Li-xian; LUO  Shi-yu; SHAO  Ming-zhu

doi:10.11804/NuclPhysRev.28.01.063

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Article Navigation > Nuclear Physics Review > 2011 > 28(1): 63-67

FAN Li-xian, LUO Shi-yu, SHAO Ming-zhu. Sinesquared Potential and Beam Extraction in Circulation Accelerator by Bent Crysta[J]. Nuclear Physics Review, 2011, 28(1): 63-67. doi: 10.11804/NuclPhysRev.28.01.063

Citation:

FAN Li-xian, LUO Shi-yu, SHAO Ming-zhu. Sinesquared Potential and Beam Extraction in Circulation Accelerator by Bent Crysta[J]. Nuclear Physics Review, 2011, 28(1): 63-67. doi: 10.11804/NuclPhysRev.28.01.063

Sinesquared Potential and Beam Extraction in Circulation Accelerator by Bent Crysta

doi: 10.11804/NuclPhysRev.28.01.063

Dongguan University of Technology, Dongguan 523106, Guangdong, China

Received Date: 1900-01-01
Rev Recd Date: 1900-01-01
Publish Date: 2011-03-20

Abstract

In the classical mechanics frame and the dipole approximation the particle motion equation in bent crystal is reduced to the pendulum equation with a constant momentum by using the sinesquared potential.The phase planar properties are analysed by means of Jacobian elliptic function and the elliptic integral. The maximum deflected energy, the dechanneling factor and the dechanneled length are derived. The results show that the extrated efficiency is 70% for a proton beam with energy E=1.0 GeV moved in the channel on Si(110) if a radius of curvature R=1 m; and dechanneled length is of the order of μm for the particles with MeV energy; the dechanneled length is above 1 meter for the particle with TeV energy.
- accelerator,
- bent crystal,
- beam control,
- extrated efficiency
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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Sinesquared Potential and Beam Extraction in Circulation Accelerator by Bent Crysta

doi: 10.11804/NuclPhysRev.28.01.063

Dongguan University of Technology, Dongguan 523106, Guangdong, China

Received Date: 1900-01-01
Rev Recd Date: 1900-01-01
Publish Date: 2011-03-20

Key words:

Abstract: In the classical mechanics frame and the dipole approximation the particle motion equation in bent crystal is reduced to the pendulum equation with a constant momentum by using the sinesquared potential.The phase planar properties are analysed by means of Jacobian elliptic function and the elliptic integral. The maximum deflected energy, the dechanneling factor and the dechanneled length are derived. The results show that the extrated efficiency is 70% for a proton beam with energy E=1.0 GeV moved in the channel on Si(110) if a radius of curvature R=1 m; and dechanneled length is of the order of μm for the particles with MeV energy; the dechanneled length is above 1 meter for the particle with TeV energy.

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