Analysis of Coherent Beam-Beam Kink Instability in a Linac-On-Ring B Factory
In this study, the dipole instability of the positron beam in a linac-on-ring collider is investigated as a multi-collision process. An integral equation for the vertical displacement of the positron beam in a beam-beam interaction is derived based on the cold fluid equations using the ribbon beam model [1,2], where the force on the centroid of the electron or positron bunch is approximated to be linear with their mutual offset. The integral equation is solved to the positron bunch during each collision is small. Including only the linear betatron oscillation for the ring dynamics, the theory shows that in collisions with non-zero offset, the kink instability will cause a coherent growth of the transverse displacement of the positron beam. Simulation confirms this conclusion with good agreement.
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA
- Sponsoring Organization:
- USDOE - Office of Energy Research (ER)
- DOE Contract Number:
- AC05-84ER40150
- OSTI ID:
- 882532
- Report Number(s):
- CEBAF-PR-92-62; DOE/ER/40150-3883
- Country of Publication:
- United States
- Language:
- English
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