# Presentation: 539369

##  SBIR/STTR Beam Cooling Projects  BNL, FNAL, IIT, Jlab, Muons, Inc. Rolland Johnson, updated April 26, 2005

- GH2 RF cavities		IIT, Kaplan      600k ends 7/05
- 6D HCC 			Jlab, Derbenev	 850k ends 7/06
- REMEX  (rev. emit. exch)	Jlab, Derbenev  100k new
- GH2 RF Capture, Ph. Rtn. 	FNAL, Neuffer 100k new
- awaiting grant decisions (~June 1):
- MANX (6D HCC cooling demo)	FNAL, Yarba   +750k
- H2 Cryostat (HCC Technology)	FNAL, Yarba 	 +750k
- PIC 	   (Parametric-resonance IC) 	Jlab, Derbenev +750k
- Try again next year:
- G4BL (simulation program dev.)	IIT, Kaplan    100k
- Helical Cooling Channel Magnets 	BNL, Gupta   100k

- MUTAC

- updated 04/26/05

## Comparing Muons, Inc. and MC programs

- 		Muons, Inc.
- >90% Muon Collider
- High brightness (low ε)
- Existence proof
- SBIR/STTR funding
- Standard reviews

- 		MC
- >90% Neutrino Factory
- High intensity
- Low cost
- Many funding sources
- MUCOG, MUTAC

- MUTAC

- updated 04/26/05

## Small Business Innovation Research/ Small business Technology TRansfer

- Federally mandated fraction of operating budgets of cabinet level offices goes to private enterprise
- Program administered by Office that is taxed
- Office provides solicitation topics (suggested by Labs)
- Innovation large part of score for grant approval
- Strict timeline
- September: Solicitation provided
- December 13: Phase I proposals due
- June 1: Phase I awards for 9 months/$100k announced (~1/7)
- April 13, next year: Phase II proposals due
- June: Phase II awards for 24 months/$750k announced (~1/3)

- MUTAC

- updated 04/26/05

## More Muons, Inc. Collaborators:

- BNL
- Ramesh Gupta, Erich Willen, Steve Kahn
- Fermilab;
- Victor Yarba, Chuck Ankenbrandt, Emanuela Barzi, _Licia del Frate_, Ivan Gonin, Timer Khabiboulline, Al Moretti, Dave Neuffer, Milorad Popovic, Gennady Romanov, Daniele Turrioni
- IIT;
- Dan Kaplan, _Katsuya Yonehara_
- JLab;
- Slava Derbenev, Alex Bogacz, _Kevin Beard_, Yu-Chiu Chao
- Muons, Inc.;
- Rolland Johnson,_ Mohammad Alsharo’a_, _Pierrick Hanlet_, Bob Hartline, Moyses Kuchnir, _Kevin Paul_, Tom Roberts
- _Underlined_ are accelerator physicists in training, supported by grants (1 old +5 new since last MUTAC)

- MUTAC

- updated 04/26/05

## Wonders since last MUTAC:

- The Phase II HCC proposal with JLab was awarded (7/04)
- All 3 Phase I proposals were awarded. (7/04)
- Nine papers submitted to PAC05 on these and HPRF projects
- e.g. HCC simulations show factor of 5000 cooling with ICOOL & G4BL
- Four new Phase I proposals submitted (12/04)
- All 3 Phase II proposals are strong (4/05)
- New invention of HCC with z-dependent fields
- 	MANX project is now a precooler prototype and 6D muon cooling demo
- Progress in understanding Parametric-resonance Ionization Cooling (PIC)
- 	Theory of aberration compensation and first simulations
- Start on HCC technology
- 	Cryostat, HTS measurements, RF breakdown, Q improvement,...
- 	More than 15 months without RF tests.  But thinking was good.
- 	Z-dependent HCC is an alternative to HPRF.
- 	And we came up with four new phase I ideas for proposals.

- MUTAC

- updated 04/26/05

## HP HV RF Cavities Ph II, Dan Kaplan, IIT

- Dense GH2 suppresses high-voltage breakdown
- Small MFP inhibits avalanches (**Paschen’s Law**)
- Gas acts as an energy absorber
- Needed for ionization cooling
- Only works for muons
- No strong interaction scattering like protons
- More massive than electrons so no showers

- MUTAC

- updated 04/26/05

## 2003 STTR Phase II Project

- To develop RF cavities, pressurized with dense hydrogen or helium gas, that are suitable for use in muon cooling and accelerator applications.
- Measurements of RF parameters (e.g. breakdown voltage, dark current, quality factor) for different temperatures and pressures in magnetic and radiation fields will be made in RF cavities to optimize the design of prototypes for ionization cooling demonstration experiments

- MUTAC

- updated 04/26/05

## 11/19/03 Lab G Results, Molybdenum Electrode

- Linear Paschen Gas Breakdown Region

- Metallic Surface Breakdown Region

- Waveguide Breakdown

- Hydrogen

- Helium

- Fast conditioning: 3 h from 70 to 80 MV/m

- MUTAC

- updated 04/26/05

## Hopes for HP GH2 RF

- Higher gradients than with vacuum
- Less dependence on metallic surfaces
- Dark currents, x-rays diminished
- Very short conditioning times already seen
- Easier path to closed-cell RF design
- Hydrogen cooling of Be windows
- Use for 6D cooling and acceleration
- Homogeneous absorber concept
- Implies HF for muon acceleration (1.6 GHz)

- MUTAC

- updated 04/26/05

## Present Activities for HP RF Phase II project

- Moving from Lab G to MTA (>1 year delay!)
- Studying RF breakdown with cu, mo, cr, be electrodes  50:85:112:194 (Perry Wilson)
- Planning Test Cell for Operation in the LBL 5 T solenoid at 1600 PSI and 77K
- Working on MTA Beam Line
- Want radiation test of GH2 RF in 2005

- MUTAC

- updated 04/26/05

## 2004 Phase II, w JLab, Derbenev HCC with Emittance Exchange

- This concept of emittance exchange with a homogeneous absorber first appeared in our 2003 SBIR proposal!

- MUTAC

- updated 04/26/05

## 6D Cooling with HCC

- Helical cooling channel (HCC)
- Solenoidal plus transverse helical dipole and quadrupole fields (+sextupole for chromaticity)
-  z-independent Hamiltonian
- Avoids ring problems
- Injection and Extraction
- Multi-pass Beam loading or Absorber heating
- Fixed channel parameters as beam cools

- MUTAC

- updated 04/26/05

## Helical Dipole Magnet (c.f. Erich Willen at BNL)

- MUTAC

- updated 04/26/05

## Figure 5. Photograph of a helical coil for the AGS Snake. 

- MUTAC

- updated 04/26/05

## <footer>

- <date/time>

- Looking down the HCC.

**Helical Cooling Channel**.  Derbenev invention of combination of Solenoidal and helical dipole fields for muon cooling with emittance exchange and large acceptance.  Well-suited to continuous absorber.  Mucool note 284.

## G4BL 10 m helical cooling channel

- RF Cavities displaced transversely

- 4 Cavities for each 1m-helix period

- B_solenoid=3.5 T B_helical_dipole=1.01 T   B’_helical_quad=0.639 T/m

- MUTAC

- updated 04/26/05

## G4BL End view of 200MeV HCC

- Radially offset RF cavities

- Beam particles (blue) oscillating about the periodic orbit (white)

- MUTAC

- updated 04/26/05

## Evolution of HCC emittance

- MUTAC

- updated 04/26/05

## Comments on HCC project

- Analytic description essential to guiding simulation effort (see Derbenev et al.)
- Latest simulation results:
- First of 3 or 4 segments (200 MHz), CF5000
- Study of other segments and matching between underway
- Addressing RF and SC magnet realism
- Match to RF capture, precooling sections
- Can we use higher frequency RF for first HCC section?

- MUTAC

- updated 04/26/05

## MANX Muon Collider And Neutrino Factory eXperiment Ph I, w Victor Yarba, Fermilab

- To Demonstrate
- Longitudinal cooling
- Helical cooling channel
- 6D cooling in cont. absorber
- Prototype precooler
- New technology (HCC, HTS)
- By using
- No RF
- LH2 (or LHe?)
- MICE detectors

- MUTAC

- updated 04/26/05

## HCC with Z-dependent fields

- Figure IV.1: Layout of the pion helical decay (light blue) and helical precooling (white) channels. The top picture shows the whole layout, the lower one shows the beginning of the decay channel, and the next slide shows the precooler end.  The red and blue lines show the pion and muon tracks, respectively.  The helix period is 1 meter.

- MUTAC

- updated 04/26/05

## 5 m Precooler aka MANX

- New Invention: HCC with fields that decrease with momentum.  Here the beam decelerates in liquid hydrogen (white region) while the fields change accordingly.

- MUTAC

- updated 04/26/05

## G4BL MANX with MICE spectrometers

- MUTAC

- updated 04/26/05

## MANX G4BL Simulation

- Equal decrement case.
- ~x1.7 in each direction.
- Total 6D emittance reduction ~factor of 5.5
- Note this requires serious magnets: ~10 T at conductor for 300 to 100 MeV/c deceleration

- MUTAC

- updated 04/26/05

## Hydrogen Cryostat w Victor Yarba, Fermilab

- simultaneously refrigerate
- 1) HTS magnet coils
- 2) cold copper (or Be?) RF cavities
- 3) hydrogen gas heated by the muon beam
- extend use of hydrogen to that of refrigerant
- besides breakdown suppressant and energy absorber
- large amount of hydrogen for IC anyway
- relevance for hydrogen economy?
- Dr. Moyses Kuchnir

- MUTAC

- updated 04/26/05

## Phase I Fermilab TD Measurements 

**Fig. 9.** Comparison of the engineering critical current density, JE, at 14 K as a function of magnetic field between BSCCO-2223 tape and RRP Nb3Sn round wire.

- MUTAC

- updated 04/26/05

## MANX/Precooler H2 or He Cryostat

- Figure XI.2.  Latest iteration of MANX cryostat schematic.  Here, liquid H2 or He is forced through the HTS (16 K) or Nb3Sn (2 K) coils before entering the region where the beam can heat the liquid.  A G10 insulating barrier tube keeps the coils at constant temperature, independent of the beam heating in the central volume.  The inner coil structure has both helical dipole and quadrupole windings.

- MUTAC

- updated 04/26/05

## Parametric-resonance Ionization Cooling (PIC) Slava Derbenev, Jlab

- Derbenev: 6D cooling allows new IC technique
- PIC Idea:
- Excite parametric resonance (in linac or ring)
- Like vertical rigid pendulum or 1⁄2-integer extraction
- Use xx’=const to reduce x, increase x’
- Use IC to reduce x’
- 1 to 2 orders smaller emittance than usual IC
- Fewer muons needed for high luminosity MC
- Easier proton driver and production target
- Fewer detector backgrounds from decay electrons
- Less neutrino-induced radiation

- MUTAC

- updated 04/26/05

## Hyperbolic phase space motion

- <footer>

- <date/time>

- x’

- xx’=const

- x’

- x

## Transverse PIC schematic

- <footer>

- <date/time>

**Conceptual diagram of a beam cooling channel in which hyperbolic trajectories are generated in transverse phase space by perturbing the beam at the betatron frequency, a parameter of the beam oscillatory behavior.  Neither the focusing magnets that generate the betatron oscillations nor the RF cavities that replace the energy lost in the absorbers are shown in the diagram.**** **
**The longitudinal scheme is more complex.**

## FIG 1.  Beta functions and phases for the solenoid triplet cell.  Thin absorbers are placed at the two central focal points.  In the simulations for FIG 2 the lost energy is simply replaced at the absorbers.  For FIG 3, 400 MHz RF cavities shown as blue bars replace the lost energy and provide synchrotron motion.

- MUTAC

- updated 04/26/05

## Dp/p

- x

- x’

- s

- MUTAC

- updated 04/26/05

## New Proposals Submitted 12/13/04

- Muons, Inc. workshop 10/4-5/04 had 14 ideas for new Phase I proposals.
- The 4 submitted were:
- Reverse Emittance Exchange 	with Jlab
- HCC Magnets      			with BNL
- Muon Precooling, bunching  	with Fermilab
- G4BL                   			with IIT

- MUTAC

- updated 04/26/05

## <footer>

- <date/time>

*Figure 1.  Conceptual diagram of the usual mechanism for reducing the energy spread in a muon beam by emittance exchange.  An incident beam with small transverse emittance but large momentum spread (indicated by black arrows) enters a dipole magnetic field.  The dispersion of the beam generated by the dipole magnet creates a momentum-position correlation at a wedge-shaped absorber.  Higher momentum particles pass through the thicker part of the wedge and suffer greater ionization energy loss.  Thus the beam becomes more monoenergetic. The transverse emittance has increased while the longitudinal emittance has diminished.*
*Figure 2. **Conceptual diagram of the new mechanism for reducing the transverse emittance of a muon beam by reverse emittance exchange.  An incident beam with large transverse emittance but small momentum spread passes through a wedge absorber creating a momentum-position correlation at the entrance to a dipole field.  The trajectories of the particles through the field can then be brought to a parallel focus at the exit of the magnet.  Thus the transverse emittance has decreased while the longitudinal emittance has increased.*

- Figure 1.  Emittance Exchange

- Figure 2.  Reverse Emittance Exchange

## 5 TeV 

- 5 TeV 

- Modified Livingston Plot taken from: W. K. H. Panofsky and M. Breidenbach, Rev. Mod. Phys. 71, s121-s132 (1999)

- MUTAC

- updated 04/26/05

## 5 TeV ~ SSC energy reach

- ~5 X 2.5 km footprint
- Affordable LC length, includes ILC people, ideas
- L from small emittance
- 1/10 fewer muons than originally imagined:                  a) easier p driver, targetry       b) less detector background    c) less site boundary radiation
- Timing makes recirculating easier than at CEBAF
- Can be staged; neutrino factory, Higgs factory, E frontier machine up to limit of R and B
- (mμ/me)2=40,000 s-channel Higgs advantage over e+e-

- MUTAC

- updated 04/26/05

## Muon Collider Emittances and Luminosities

**Muon Collider Emittances and Luminosities**

- After:
- Precooling
- Basic HCC 6D
- Parametric-resonance IC
- Reverse Emittance Exchange

-    εN tr		 εN long.
- 20,000	μm	10,000 μm
-      200 μm 	     100 μm
- 25  μm 	     100 μm
-   2	μm 	         2 cm

- At 2.5 TeV

- 20 Hz Operation:

- MUTAC

- updated 04/26/05

## Recap: 9 Muons, Inc. SBIR projects

- GH2 RF cavities			IIT, Kaplan      600k ends 7/05
- New RF option for muons, simultaneous absorber & breakdown suppressor
- 6D HCC 				Jlab, Derbenev 850k ends 7/06
- Basic 6D cooling, simulations and theory, for colliders & factories
- MANX (6D HCC cooling demo)	FNAL, Yarba   +750k
- Essential 6D cooling demonstration experiment, experiment optimization
- H2 Cryostat (HCC Technology)		FNAL, Yarba  +750k
- Basis for HCC engineering, HTS, RF materials, MANX cryo design
- PIC 	   (Parametric-resonance IC) 	Jlab, Derbenev +750k
- Reduce transverse emittances each a factor >10
- REMEX  (rev. emit. exchange)		Jlab, Derbenev  100k
- Reduce transverse emittances each another factor >10
- Helical Cooling Channel Magnets 	BNL, Gupta      100k
- Develop realistic magnet designs, use field maps to optimize HCC
- GH2 RF Capture, Phase rotation		FNAL, Neuffer 100k
- HPRF development, simulations of capture, phase rotation, precooling
- G4BL simulation program development	IIT, Kaplan       100k
- Needed for our and others’ progress

- MUTAC

- updated 04/26/05