Maximum mass of a Quark Star in the light of Combustion adiabat Ritam Mallick, Department of Physics, IISER Bhopal, India
Motivation Results
Aware of merging Black holes and Neutron Starting from (Xh, ph ) (X'h , p'h ) same curve shock wave stars as source of Gravitational waves (GW) Point (X , p ) (X' , p' ) different EoS detonation/deflagration (Nobel Prize in 2017) h h q q Changing the input values (X , p ) upstream curve Involves a binary always h h (Xh, ph ) as Input solving the CA (QM EoS) downstream (X'q , p'q ) What about single NS producing GW ? R initial Rayleigh line If at all possible are they detectable? I
What about phase transition in neutron stars Maximum Point in the QM curve Neutron stars Quark stars RM Max Rayleigh Line Very dense 1015 gm/cc RR Retracing Rayleigh Line High B field 108-1012 G Slope of Rayleigh line changes After The PT what is the mass of QS Seen in both NL3/PLZ EoS Is there any maximum mass of QS produced after PT ?
Phase transition The maximum downstream pressure the maximum point of the burnt curve Shock Induced Phase transition Two Step Beyond which retraces its path Nucler 2 flavour Quark Strong Interacting Timescale Density/Pressure of the QM has a maximum (when phase transformed from NM) Neutron star, mainly neutrons Resulting in excess of down quarks NS QS also has a Max Initail part (R , P > P ) 2 flavour 3 flavour I Q H Weak Reaction Later part (R , P < P ) Samll QS u + d u + s R Q H QS has a maximum bound Sudden density fluctuation Shock Large energy output Shock Propagates centre to surface GW, GRB, neutrino PT accompanied by shock Shock condition studied by Rankine Hugoniot
Low density Deflagration
High density Detonation Rankine Hugoniot jump condition the mass flux can be written as (e3)
Energy Conv.
Momentum Conv. using (e2 and e4) Discussion
Finding the maximum mass Baryon number Conv. Maximum of Pressure (pressure figure) Maximum of energy density (EoS figure) Maximum of mass (M-E curve) Using e1 and e3 PLZ EoS NS(1.9 M ) QS(1.7 M ) e6 can then be written as S S HS Substituting e3 we get The PT QS has a maximum mass
Finally the CA becomes The velocity curve Deflagaration Massive QS Detonation Samll QS
For some density of NS PT does not occur H the hadronic upstream quantities Same EoS TA All NS does not suffer PT Q The quark downstream quantities Different EoS CA
Reference: Strangeness In Quark Matter 2019 Combustion adiabat and the maximum mass of 10-15 June, 2019, Bari, Italy Quark star Ritam Mallick & Mohammad Irfan, MNRAS, doi:10.1093/mnras/stz454, 2019 Contact: [email protected] webpage: http://home.iiserb.ac.in/~mallick/