MICOR parameters in heavy ion collisions

MICOR parameters

quark matter temperature:	T_q	=	170 MeV
light quark mass:	m_q	=	325 MeV
strange quark mass:	m_s	=	450 MeV
extra diquark mass:	Δm_qq	=	150 MeV	(m = m_q1 + m_q2 + Δm_qq)
transverse flow:	v_T
maximum rapidity:	η_max
coupling constant:	α
quark and antiquark numbers:	N_u, N_d, N_s, N_u, N_d, N_s

Number of quarks and antiquarks

The important parameters are the number of created light quark pairs in a rapidity bin dN_qq/dη = N_qq/2η_{max
and the strangeness ratio
f_s
= N_ss
/ N_qq. Assuming isospin symmetry,
N_uu
= N_qq / 2
and
N_dd
= N_qq / 2, they determine the quark numbers:

N_u
= N_{primary u}
+ N_qq / 2,

N_u
= N_qq / 2,

N_d
= N_{primary d}
+ N_qq / 2,

N_d
= N_qq / 2,

N_s
= N_ss
= f_s N_qq,

N_s
= N_ss
= f_s N_qq,

where the primary participant quark numbers
N_{primary u} and
N_{primary d} depend on the composition
of the colliding nuclei.}

²⁰⁸Pb + ²⁰⁸Pb in SPS
208 = 82uud + 126udd = 290u + 334d quarks in a ²⁰⁸Pb nucleus,
208 + 208 = 416 primary nucleons,
0.9375·416 = 390 primary participant nucleons,
390 = (390/208)·(290u + 334d) = 554u + 626d primary participant quarks

¹⁹⁷Au + ¹⁹⁷Au in RHIC
197 = 79uud + 118udd = 276u + 315d quarks in an ¹⁹⁷Au nucleus,
197 + 197 = 394 primary nucleons,
0.5·394 = 197 primary participant nucleons,
197 = (197/197)·(276u + 315d) = 276u + 315d primary participant quarks

²⁰⁸Pb + ²⁰⁸Pb in LHC
208 = 82uud + 126udd = 290u + 334d quarks in a ²⁰⁸Pb nucleus,
208 + 208 = 416 primary nucleons,
0.5·416 = 208 primary participant nucleons (?),
208 = (208/208)·(290u + 334d) = 290u + 334d primary participant quarks (?)

Collision energy dependence

√s_NN = 2 m_N γ = 2 m_N cosh y_N (m_N = 0.939 GeV)

MICOR parameters

√s_NN y_N η_max v_T v_T
(FSI) α dN_qq/dη f_s N_u N_d N_s N_u N_d N_s

SPS Pb+Pb 8.8 GeV 2.2 1.9 0.42 0.38 3.0 190 0.35 904 986 250 360 360 250

SPS Pb+Pb 12.3 GeV 2.6 1.9 0.44 0.41 3.0 190 0.35 904 986 250 360 360 250

SPS Pb+Pb 17.3 GeV 2.9 1.9 0.49 0.45 3.0 190 0.35 904 986 250 360 360 250

RHIC Au+Au 130 GeV 4.9 4 0.55 0.50 2.0 475 0.26 2417 2490 1000 1900 1900 1000

RHIC Au+Au 200 GeV 5.4 4 0.60 0.55 2.0 475 0.26 2417 2490 1000 1900 1900 1000

LHC Pb+Pb 5.5 TeV 8.7 6 ? ? 2.0 2000 0.26 12290 12334 6240 12000 12000 6240

N_u = N_{primary u} + N_qq / 2,	N_u = N_qq / 2,
N_d = N_{primary d} + N_qq / 2,	N_d = N_qq / 2,
N_s = N_ss = f_s N_qq,	N_s = N_ss = f_s N_qq,

				MICOR parameters
		√s_NN	y_N	η_max	v_T	v_T (FSI)	α	dN_qq/dη	f_s	N_u	N_d	N_s	N_u	N_d	N_s

SPS	Pb+Pb	8.8 GeV	2.2	1.9	0.42	0.38	3.0	190	0.35	904	986	250	360	360	250
SPS	Pb+Pb	12.3 GeV	2.6	1.9	0.44	0.41	3.0	190	0.35	904	986	250	360	360	250
SPS	Pb+Pb	17.3 GeV	2.9	1.9	0.49	0.45	3.0	190	0.35	904	986	250	360	360	250
RHIC	Au+Au	130 GeV	4.9	4	0.55	0.50	2.0	475	0.26	2417	2490	1000	1900	1900	1000
RHIC	Au+Au	200 GeV	5.4	4	0.60	0.55	2.0	475	0.26	2417	2490	1000	1900	1900	1000
LHC	Pb+Pb	5.5 TeV	8.7	6	?	?	2.0	2000	0.26	12290	12334	6240	12000	12000	6240