First order tune shift calculations for transverse betatron dynamics

Conference · Sun Sep 01 00:00:00 EDT 1991

OSTI ID:5334086

Garavaglia, T

An effective Hamiltonian, with non-linear magnetic multipole terms and momentum dispersion contributions, is used to obtain the first order tune-shift results for transverse betatron motion for protons in the Superconducting Super Collider (SSC). This Hamiltonian is represented in terms of action angle variables, and analytical results are obtained using symbolic algebra methods. Mathematical derivations of the transverse multipole expansion and of the transverse betatron equations, using an invariant action and curvilinear coordinates, are given in the appendices. Numerical and graphical tune-space results are given that illustrate the dependence of tune-shifts on injection amplitude and momentum spread. 10 refs., 7 figs.

• Research Organization: Superconducting Super Collider Lab., Dallas, TX (United States)
• Sponsoring Organization: USDOE; USDOE, Washington, DC (United States)
• DOE Contract Number: AC35-89ER40486
• OSTI ID: 5334086
• Report Number(s): SSCL-507; CONF-9110225-1; ON: DE92000370
• Resource Relation: Conference: 1991 symposium on the Superconducting Super Collider (SSC), Corpus Christi, TX (United States), 13-17 Oct 1991
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
PROTON BEAMS
BETATRON OSCILLATIONS
BEAM DYNAMICS
HAMILTONIANS
MAGNETIC FIELDS
PHASE SHIFT
SUPERCONDUCTING SUPER COLLIDER
TUNING
BEAMS
MATHEMATICAL OPERATORS
NUCLEON BEAMS
OSCILLATIONS
PARTICLE BEAMS
QUANTUM OPERATORS
STORAGE RINGS
430200* - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics