Lecture Overview ...

Modern Problems in Nuclear Physics II

D. Blaschke (U Wroclaw, JINR, MEPhI)G. Röpke (U Rostock)A. Sedrakian (FIAS Frankfurt, Yerevan SU)

1. Physics of Neutron Stars I Phenomenology, EoS and Structure (3)2. Statistical Model and HIC I RHIC and CERN Experiments, Chemical Freeze-out (2)3. Physics of Neutron Stars II – Color superconductivity (2) 4. Statistical Model and HIC II NSE, Clusters in Nuclei, HIC & Femto-Nova (3)5. Superfluidity in Nuclear Matter I BEC-BCS Crossover. NSR Theory (2)6. Superfluidity in Nuclear Matter II – Nuclear vs. Quark Matter, NS Cooling (3)

Name, First name email address

Akhmetov, Fedor f.o.akhmetov (at) gmail.comChulkoov, Ilya chulkov.ilya96 (at) gmail.comDevyatyarov, Kyrill xxccnn55 (at) gmail.comGallyamov, Renat pehat96 (at) yandex.ruKhusnutdinov, Radmir hatach (at) mail.ruKoptev, Ivan ivanforlife9 (at) gmail.comLukianov, Pavel p.d.lukianov (at) yandex.ruMatveevski, Konstantin matveevskiy.konstantin (at) gmail.comPostnikov, Valentin postnikov.valentin (at) yandex.ruShatalov, Nazar satalov.nazar (at) gmail.com

Kolomiytsev, Georgy flight160 (at) gmail.com

Schedule for the Summer Semester 2019

05.02., 14:30 – 17:00 Lectures David Blaschke 12.02., 14:30 – 17:00 Lectures David Blaschke12.03., 14:30 – 18:00 Lectures David Blaschke09.04., 14:30 – 18:00 Lectures Gerd Roepke14.05., 14:30 – 18:00 Lectures Gerd Roepke04.06., 14:30 – 18:00 Lectures Armen Sedrakian

DRAFT

Pair condensation – color superconducting quark matter in compact stars?

Cooper instability Quark condensates Symmetries and pairing patterns Two-flavor color superconductors → 2SC phase Three-flavor color superconductors → CFL phase NJL model and Nambu-Gorkov formalism Mean field gap equations and solutions Thermodynamic potential Phase diagram EoS and TOV equations – Hybrid stars with CC

Topics:

David.Blaschke@gmail.com (Wroclaw University & JINR Dubna & MEPhI Moscow)

See also lectures by M. Buballa at HISS Dubna 2006; http://theor.jinr.ru/~dm2006/talks/buballa_3.pdf

Cooper instabilities

Cooper instabilities

Field operators

Quark-antiquark condensates

Diquark condensates

Diquark condensates

Operators in flavor and color space

Operators in Dirac space

Combined operators

Two-flavor color superconductors

Symmetry properties: color

Symmetry properties: global symmetries

Three-flavor color superconductors

Three-flavor color superconductors

Pairing patterns

Color-flavor locking

NJL model for color superconductivity

Nambu-Gorkov formalism

Nambu-Gorkov propagator

Selfconsistency problem

Gap equation

Propagator

Dispersion relations

Dispersion relations (CFL)

Gap equation: solutions

Gap equation: solutions

Gap equation: solutions

Thermodynamic potential

Thermodynamic potential

Thermodynamic quantities

Minima

Condensation energy

CFL pairing in the bag model

Realistic masses

Realistic masses

Which phase is favored ?

Which phase is favored ?

3-flavor NJL model

Results for T=0

Phase diagram

S. Ruester et al. Phys. Rev. D 72 (2005) 034004D. Blaschke et al. Phys. Rev. D 72 (2005) 065020

Exploring hybrid star matter at NICAT.Klähn (1), D.Blaschke (1,2), F.Weber (3)(1) Institute for Theoretical Physics, University of Wroclaw, Poland

(2) Joint Institute for Nuclear Research, Dubna(3) Department of Physics, San Diego State University, USA

Heavy-Ion Collisions Compact Stars

„The CBM Physics Book“, Springer LNP 841 (2011), pp.158-181NICA White Paper, http://theor.jinr.ru → BLTP TWikipages

Proposal: 1. Measure transverse and elliptic flow for a wide range of energies (densities) at NICA and perform Danielewicz's flow data analysis ---> constrain stiffness of high density EoS2. Provide lower bound for onset of mixed phase ---> constrain QM onset in hybrid stars

- stiff EoS(at flow limit)

- low ncrit

(at NICA fixT)

- soft EoS (dashed line)

- high Mmax

(J1614-2230)

- low Monset

(all NS hybrid)

- excluded(J1614-2230)

Quark matter in 2Msun

neutron stars?→ only color superconducting + vector int.

T. Klahn et al., PRD 88 (2013) 085001; arxiv:1307.696

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