Colliding Beam Parameters

Parameters associated with beam collisions at the interaction point. Note that this is placeholder text that will be used until better descriptive text is provided by the authors.

Table 1: Main parameters for the electron-proton operation in High Divergence operation mode.

Parameter		Units	p+	e-	p+	e-	p+	e-	p+	e-	p+	e-
Energy		GeV	275	18	275	10	100	10	100	5	41	5
CM energy		GeV	140.7		104.9		63.2		44.7		28.6
Bunch Intensity		10¹⁰	19.1	6.2	6.9	17.2	6.9	17.2	4.8	17.2	2.6	13.3
Number of Bunches		-	290	0	1160	0	1160	0	1160	0	1160	0
Beam Current		A	0.69	0.227	1	2.5	1	2.5	0.69	2.5	0.38	1.93
RMS normalized emittance	H	μm	5.2	845	3.3	391	3.2	391	2.7	196	1.9	196
RMS normalized emittance	V	μm	0.47	71	0.3	26	0.29	26	0.25	18	0.45	34
RMS emittance	H	nm	18	24.0	11.3	20	30	20	26	20	44	20
RMS emittance	V	nm	1.6	2.0	1.0	1.3	2.7	1.3	2.3	1.8	10	3.5
Beta	H	cm	80	59	80	45	63	96	61	78	90	196
Beta	V	cm	7.1	5.7	7.2	5.6	5.7	12	5.5	7.1	7.1	21
IP RMS beam size	H	μm	119		9.5		138		125		198
IP RMS beam size	V	μm	11		8.5		12		11		27
Kx		-	11.1		11.1		11.1		11.1		7.3
RMS divergence	H	μrad	150	202	119	211	220	145	206	160	220	101
RMS divergence	V	μrad	150	187	119	252	220	105	206	160	380	129
BB parameter	H	10³	3	93	12	72	12	72	14	100	15	53
BB parameter	V	10³	3	100	12	100	12	100	14	100	9	42
RMS longitudinal emittance		10³eV·s	36		36		21		21		11	53\42
RMS bunch length		cm	6	0.9	6	0.7	7	0.7	7	0.7	7.5	0.7
RMS σp /p		10^-3	6.8	10.9	6.8	5.8	9.7	5.8	9.7	6.8	10.3	6.8
Maximum space charge		-	0.007	Neg	0.004	Neg	0.026	Neg	0.021	Neg	0.05	Neg
Piwinski angle		rad	6.3	2.1	7.9	2.4	6.3	1.8	7	2	4.2	1.1
Longitudinal IBS time		hrs	2		2.9		2.5		3.1		3.8
Transverse IBS time	H	hrs	2		2		2.0		2.0		3.4
Transverse IBS time	V	hrs	Lrg.		Lrg.		4.0		4.0		2.1
Hourglass factor H		-	0.91		0.94		0.9		0.88		0.93
Luminosity		10³³cm^-2s^-1	1.54		10		4.48		3.68		0.44
H=Horizontal, V=Vertical, Lrg = Large enough to not require cooling, negl= Negligible.

Table 2: Main parameters for the electron-proton operation in High Acceptance operation mode.

Parameter		Units	p+	e-	p+	e-	p+	e-	p+	e-	p+	e-
Energy		GeV	275	18	275	10	100	10	100	5	41	5
CM energy		GeV	140.7		104.9		63.2		44.7		28.6
Bunch intensity		10¹⁰	18.9	6.2	6.9	17.2	6.9	17.2	4.8	17.2	2.6	13.3
Number of bunches		-	290	0	1160	0	1160	0	1160	0	1160	0
Beam current		A	0.69	0.227	1	2.5	1	2.5	0.69	2.5	0.38	1.93
RMS normalized emittance	H	μm	5.2	845	3.3	391	3.2	391	2.7	196	1.9	196
RMS normalized emittance	V	μm	0.46	70	0.3	26	0.29	26	0.25	18	0.45	34
RMS emittance	H	nm	17.6	24.0	11	20	30	20	26	20	44	20
RMS emittance	V	nm	1.6	2.0	1.0	1.3	2.7	1.3	2.3	1.8	10	3.5
Beta	H	cm	417	306	265	149	94	143	80	103	90	196
Beta	V	cm	38	30	24	19	8.5	18	7.2	9.2	7.1	21
IP RMS beam size	H	μm	271		172		169		143		198
IP RMS beam size	V	μm	24		16		15		13		27
Kx		-	11.1		11.1		11.1		11.1		7.3
RMS divergence	H	μrad	65	89	65	116	180	118	180	140	220	101
RMS divergence	V	μrad	65	82	65	84	180	86	180	140	380	129
BB parameter	H	10³	3	92	12	72	12	72	14	100	15	53
BB parameter	V	10³	3	100	12	100	12	100	14	100	9	42
RMS longitudinal emittance		10³eV·s	36		36		21		21		11
RMS bunch length		cm	6	0.9	6	0.7	7	0.7	7	0.7	7.5	0.7
RMS σ_p /p		10^-3	6.8	10.9	6.8	5.8	9.7	5.8	9.7	6.8	10.3	6.8
Maximum space charge		-	0.007	Neg	0.004	Neg	0.026	Neg	0.021	Neg	0.05	Neg
Piwinski angle		rad	2.8	0.9	4.3	1.4	5.2	1.5	6.1	1.7	4.2	1.1
Longitudinal IBS time		hrs	2		3.2		2.5		3.1		3.8
Transverse IBS time	H	hrs	2		2		2.0		2.0		3.4
Transverse IBS time	V	hrs	Lrg.		Lrg.		4.0		4.0		2.1
Hourglass factor H		-	0.99		0.98		0.94		0.91		0.93
Luminosity		10³³cm^-2s^-1	0.32		3.14		3.14		2.92		0.44

Table 3: Main parameters for the electron-proton operation for Heavy Gold Ions.

Parameter		Units	Au+	e-	Au+	e-	Au+	e-	Au+	e-
Energy		GeV	110	18	110	10	110	5	41	5
CM energy		GeV	89		66.3		46.9		28.6
Bunch intensity		10¹⁰	0.08	6.2	0.05	17.2	0.05	17.2	0.036	17.2
Number of bunches		-	290	0	1160	0	1160	0	1160	0
Beam current		A	0.23	0.227	0.57	2.5	0.57	2.5	0.41	2.5
RMS normalized emittance	H	μm	5.1	705	5.0	391	5.0	196	3.0	196
RMS normalized emittance	V	μm	0.7	20	0.4	20	0.4	20	0.3	20
RMS emittance	H	nm	43.2	20	42.3	20	42.3	20	68.1	20
RMS emittance	V	nm	5.8	0.6	3.0	1.0	3.0	2.0	5.7	2.0
Beta	H	cm	91	196	91	193	91	193	90	37
Beta	V	cm	4	41	4	12	4	6	4	11
IP RMS beam size	H	μm	198		196		197		248
IP RMS beam size	V	μm	15		11		11		15
Kx		-	13		17.5		17.9		16.4
RMS divergence	H	μrad	218	101	216	102	215	102	275	81
RMS divergence	V	μrad	379	37	274	92	275	185	377	136
BB parameter	H	10³	1	37	3	43	3	86	5	61
BB parameter	V	10³	1	100	3	47	2	47	4	37
RMS longitudinal emittance		10³eV·s	16		16		16		16
RMS bunch length		cm	7	0.9	7	0..7	7	0.7	11.6	0.7
RMS σ_p /p		10^-3	6.2	10.9	6.2	5.8	6.2	6.8	10	6.8
Maximum space charge		-	0.007	Neg	0.008	Neg	0.008	Neg	0.038	Neg
Piwinski angle		rad	4.4	1.1	4.5	1.2	4.5	1.2	5.8	1.2
Longitudinal IBS time		hrs	0.33		0.36		0.36		0.085
Transverse IBS time	H	hrs	0.81		0.89		0.89		0.16
Transverse IBS time	V	hrs	Lrg.		Lrg.		Lrg.		Lrg.
Hourglass factor H		-	0.85		0.85		0.85		0.71
Luminosity		10³³cm^-2s^-1	0.52		4.76		4.77		1.67

Hadron Storage Ring Parameters

Parameters associated with the hadron storage ring (HSR). Note that this is placeholder text that will be used until better descriptive text is provided by the authors.

Table 4 HSR injected parameters
Parameter	Units	TBA
Species	-	P⁺	Au⁺	3He⁺
Charge number Z	-	1	79	2
Mass number A	-	1	197	3
Energy	GeV	23.8	9.8	10.18
Relativistic factor γ	-	25.38	10.52	10.885
Bunch intensity	10¹⁰	28	0.21	12
Number of bunches	-	290	290	290
RF harmonic	-	315	315	315
Beam current	A	1	0.6	0.87
RMS normalized emittance, h/v	um	2	2	2
RMS emittance, h/v	nm	79	191	184
95% longitudinal bunch area	eV·s	0.8	0.8	0.65
RMS longitudinal emittance	10-3eV·s	42.5	42.5	34.6
RMS bunch length	cm	50	125	118
RMS σ_p /p	10^-4	10.7	8.5	8.7

Table 5 HSR ramp parameters
Parameters	Units	TBA
Species	-	P⁺	Au⁺
Bunch charge	nC	5 to 44	TBA
Bunch spacing	nS	40.5	TBA
Beam average current	A	0.11 to1	TBA
RMS longitudinal emittance	10-3eV·s	42.5	TBA
Maximum ramp rate dg/dt	s^-1	1.25	TBA

Table 6 HSR tuneability (operational ranges needed)
Parameters		Units
Species		-	P⁺	Au⁺
Bunch Intensity		10¹⁰	3.1 to 28	TBA
Number of bunches			1 to 1160	TBA
Bunch charge		nC	5 to 44	TBA
Beam current		mA	0.4 to1000	TBA
RMS bunch length		cm	6 to150	TBA
Normalized beam emittance	H	mm	1.9 to 5.2	TBA
Normalized beam emittance	V	mm	0.25 to 2.5	TBA
Beta*(colliding IR)	H	m	0.6 to TBA	TBA
Beta*(colliding IR)	V	m	0.04 to TBA	TBA
Beta* (Non colliding IR)	H	m	3 to 10	TBA
Beta* (Non colliding IR)	V	m	3 to 10	TBA

Table 7 HSR high-peak current operation proton and Au parameters
Parameters	Units	TBA
Species	-	P⁺	Au⁺
Bunch charge	nC	31	TBA
Bunch spacing	ns	40.5	TBA
Beam average current	A	0.69	TBA
RMS bunch length	cm	6	TBA

Table 8 HSR high-average current operation Proton and Au parameters
Parameters	Units	TBA
Species	-	P⁺	Au⁺
Bunch charge	nC	31	TBA
Bunch spacing	ns	40.5	TBA
Beam average current	A	0.69	TBA
RMS bunch length	cm	6	TBA

Table 9 HSR commissioning tables
Parameters		Units	TBA
Operating Condition		-	Injection	Store
Species		-	P⁺	Au⁺
Bunch charge		nC	TBA	TBA
Beam current		mA	TBA	TBA
RMS bunch length		cm	TBA	TBA
Normalized beam emittance, h/v	H	mm	TBA	TBA
Normalized beam emittance, h/v	V	mm	TBA	TBA
Beta*(colliding IR)	H	m	TBA	TBA
Beta*(colliding IR)	V	m	TBA	TBA
Beta* (Non colliding IR)	H	m	TBA	TBA
Beta* (Non colliding IR)	V	m	TBA	TBA

Table 10 HSR store circumferences and average radial shifts at different energies.
Parameters Units	Units	TBA
Species	-	p⁺				Au⁺
Total energy E_tot	GeV	41	100	133	275	40.7
Relativistic factor γ	-	43.7	106.58	141.75	293.09	43.7
Circumference C	m	3832.9153	3833.7506	3833.824	3833.897	3832.915
Change in circumference dC	mm	-908.7	-73.4	0	73.1	-908.7
Average change in radius	mm		-11.7	0	11.6

Table 11. Key HSR lattice parameter.
Parameters	Units	TBA
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-

Table 12 HSR main RF system parameters
Parameters	Units	TBA
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-

Table 13 HSR Crab RF system parameters
Parameters	Units	TBA
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-

Strong Hadron Cooling Parameters

Parameters associated with strong hadron cooling (SHC). Note that this is placeholder text that will be used until better descriptive text is provided by the authors.

Table 14 Geometry parameters for longitudinal and transverse cooling
Parameters	Units	TBA
p+ store energy	GeV	100	275
Modulator length	m	45.420181	45.420181
Kicker length	m	45.420181	45.420181
Number of amplifier drifts	-	2	2
Amplifier drift lengths	m	36.579819	36.579819

Table 15 Longitudinal and transverse cooling parameters for P⁺
Parameters		Units	Values
Proton store energy		GeV	100	275
Number p⁺ per bunch		10¹⁰	6.9	6.9
Bunch length		cm	7	6
Fractional energy spread		-	0.00097	0.00068
Emittance	X	nm	30	11.3
Emittance	Y	nm	2.7	2
Beta in modulator	H	-	20.969	39
Beta in modulator	V	-	55.921	39
Dispersion in modulator	H	m	0.845	1
Dispersion in modulator	V	m	0.236	0
Dispersion derivative in modulator	H	-	-0.024	-0.023
Dispersion derivative in modulator	V	-	0	0
Beta in kicker	H	m	20.969	39
Beta in kicker	V	m	55.921	39
Dispersion in kicker	H	m	0.848	1
Dispersion in kicker	V	m	0.236	0
Dispersion derivative in kicker	H	-	0.024	0.023
Dispersion derivative in kicker	V	-	0	0
Phase advance	H	Rad	5.145	4.79
Phase advance	V	Rad	4.9	4.791
R56 in p+ chicane		mm	-6	-2.25956

Table 16 Longitudinal and transverse cooling parameters for the electron's
Parameters		Units	Values
Store energy		GeV	100	275
Bunch charge		nC	1	1
Bunch length		mm	12	8
Peak current		A	∼10	∼15
Fractional slice energy spread		-	0.0001	0.0001
Normalized emittance	X	mm-mrad	2.8	2.8
Normalized emittance	Y	mm-mrad	2.8	2.8
Betas in modulator	H	m	86	64
Betas in modulator	V	m	14	11
Beta in kicker	H	m	50	16
Beta in kicker	V	m	10	2
Beta in amplifiers	H	m	2.4	0.5
Beta in amplifiers	V	m	2.4	0.5
R56 in the 1^st e^- chicane		mm	8.7	2.5
R56 in the 2^nd e^- chicane		mm	8.7	2.5
R56 in the 3^rd e^- chicane		mm	-27	-6.34
IBS growth times	H	Hrs	2	2
	V		4	71
	L		2.5	2.9
Cooling times	H	Hrs	1.7	0.8
	V		2.5	2.1
	L		1.7	1.2

Table 17 SHC tuneability parameters.
Parameters	Units	TBA
To be added	-	-	-
To be added	-	-	-
To be added	-	-	-
To be added	-	-
To be added	-	-	-
To be added	-	-	-
To be added	-	-	-
To be added	-	-	-
To be added	-	-	-

Table 18 SHC commissioning parameters.
Parameters	Units	TBA
To be added	-	-	-
To be added	-	-	-
To be added	-	-	-
To be added	-	-
To be added	-	-	-
To be added	-	-	-
To be added	-	-	-
To be added	-	-	-
To be added	-	-	-

Table 19 SHC ERL RF system parameters
Parameters	Units	TBA
To be added	-	-	-
To be added	-	-	-
To be added	-	-	-
To be added	-	-
To be added	-	-	-
To be added	-	-	-
To be added	-	-	-
To be added	-	-	-
To be added	-	-	-

Electron Storage Ring Parameters

Parameters associated with the electron storage ring (ESR). Note that this is placeholder text that will be used until better descriptive text is provided by the authors.

Table 20 ESR Tuneability (operational ranges)
Parameters Units		Units	Values
Beta *	H	m	>0.37 (see Tables 1 - 3)
Beta *	V	m	>0.056 (see Tables 1 - 3)
Beam energy range		GeV	5 to 18
Number of bunches		-	1 to 1160
Bunch intensity		10¹⁰	2 to 17.2

Table 21 Key ESR lattice parameters.
Parameters	Units	TBA
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-

Table 22 ESR commissioning parameters
Parameters Units		Units	TBA
Beta *	H	m	2
Beta *	V	m	0.02
Beam energy range		GeV	5 and 18
Number of bunches		-	1 and 1160
Bunch intensity		10¹⁰	1 and 17.2

Table 23 ESR Main RF system parameters
Parameters	Units	TBA
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-

Table 24 ESR Crab RF system parameters
Parameters	Units	TBA
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-

Rapid Cycling Synchrotron

Parameters associated with the rapid cycling synchrotron (RCS). Note that this is placeholder text that will be used until better descriptive text is provided by the authors.

Table 25 Polarized e- source beam parameters for RCS
Parameter	Units	TBA
Energy	GeV	5&10	18
Bunch charge	nC	7	5
Longitudinal distribution	-	Uniform	Uniform
Initial bunch length	nS	1.3	1.3
Initial bunch size in radius	mm	12	12
RMS bunch size σ	mm	6	6
Frequency	Hz	1 (with 8 bunches)	1 (with 4 bunches)
Energy	keV	300	300
Polarization	%	85	85

Table 26 Table to capture spin patterns required at the end of the ELINAC
Parameters	Units	TBA
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-

Table 27 EIS (Buncher\LINAC) RF system parameters
Parameters	Units	TBA
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-

Table 28 RCS injection parameters
Parameters		Units	TBA
Extraction energy		GeV	5&10	18
Injection energy		MeV	400	400
Relativistic factor g		-	Need to add	Need to add
Charge per bunch		nC	7	7
Number of bunches injected per LINAC pulse		-	2	2
Number of LINAC pulses per 1 Hz cycle		-	4	2
RMS bunch length		ps	40	40
RMS energy spread dp/p (10^-3)		-	2.5	2.5
Emittance normalized	H	mm-mrad	35	35
Emittance normalized	V	mm-mrad	35	35
Polarization		%	85	85

Table 29 RCS extraction beam parameters.
Parameter		Units	TBA
Extraction Energy		GeV	5	10	18
Charge per bunch		nC	28	28	12
Bunch Length		ps	23.3	23.3	30
RMS dp/p		10³	0.68	0.58	1.09
Emittance normalized	H	μm	196	391	845
Emittance normalized	V	μm	18-34	26	70

Table 30 RCS ramp parameters
Parameter	Units	Value
Momentum compaction	-	0.000372
Maximum relative polarity Loss	%	5
Circumference	m	3846.169748
Ramping repetition rate	Hz	1
Acceleration time to 18 GeV	ms,turns	100, 800
Maximum vertical orbit RMS	mm	0.5
Radio frequency	MHz	591
Total Cavity peak Voltage	MV	60
Energy radiated per e⁺ (@18 GeV)	MeV/turn	39.8
Horizontal damping time (@18 GeV)	s	0.0036

Table 31 RCS tuneability (operational ranges)
Parameter	Units	Value
Chromaticity	-
RMS orbit	m
To be added

Table 32 RCS commissioning table
Parameters	Units	TBA
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-

Table 33 RCS RF system parameters
Parameters	Units	TBA
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-
To be added	-	-