Towards an extended meta-modeling of dense matter including phase transitions: the case of quarkyonic matter - Indico

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Towards an extended meta-modeling of dense matter including phase transitions: the case of quarkyonic matter - Indico
NewMAC on-line seminar, Sept. 2020

Towards an extended meta-modeling of
dense matter including phase transitions:                            Jérôme Margueron
                                                                     iP2i Lyon
the case of quarkyonic matter

 In collaboration with A. Pfaff, P. Proust, R. Stiele, R. Somasundaram & G. Chanfray, H. Hansen.
Towards an extended meta-modeling of dense matter including phase transitions: the case of quarkyonic matter - Indico
Probing extreme matter physics with GW
                                                                                       Heavy Ion collision

                                                                         ear
                                                                     c l
                                                                  nu
                                                              a nd
                                                      r $ cle tors
                                                   Pa lera
                                                         e
                                                     acc         a l
                                                               ic
                                                             ys s
                              Dubna                      p h
                       NI C A@
                                                    stro a$on
                                                   A er v
                                                    obs                                  [Hades, Nature phys. 2019]

                                                   Neutron stars,
                                      BNS merger   supernovae,
                                                   kilonovae…                  Probe limits of
                                                                               extreme ma/er

Questions to   What is the nuclear interaction in dense, isospin asymmetric matter, hot?
be answered:   Which new particles appear at supra-saturation densities?
               At which density occurs the deconfinement from hadrons to Quarks-Gluons Plasma (QGP)?
               How neutrinos propagate and what are the transport properties of extreme matter?
               Are BNS the main astrophysical site for the r-process?
Towards an extended meta-modeling of dense matter including phase transitions: the case of quarkyonic matter - Indico
EoS [nuclear]  (M,R) [astro]
             Tolmann-Oppenheimer-
             Volkov (TOV) GR equations
      P(n)                                         (M,R)(nc)

                                       [A. Watts et al., PoD (AASKA 14) 043]

                Reverse engineering,
                Bayesian statistics
Towards an extended meta-modeling of dense matter including phase transitions: the case of quarkyonic matter - Indico
Neutron star radii
                                                                       (my own) classification:
Radius estimation: R1.4 ∈ [10 : 14] km for a 1.4 M⊙ NS
                                                                       low radii (10-11 km),
                                                                       average radii (12-13 km),
How to extract a radius?
                                                                       large radii (>14 km).
 +   Thermal emission from qLMXB (quiescient Low-Mass X-ray
     binaries)                                                      [Raaijmakers 2019 - NICER]
     [Guillot 2013, Ozel 2016, Bogdanov 2016, Steiner 2018]
 +   X-ray bursts
     [Poutanen 2013, Ozel 2016, Nattila 2017]
 +   Gravitational waves from binary NS mergers
     [LVC PRL 2017, Bauswein 2017, Tews PRC 2018, …]
 +   NICER mission
     [Miller 2019, Raaijmakers 2019, Bogdanov 2019, Guillot 2019]
 +   Future: ATHENA mission
     [Barcons 2017]
A few anomalous results…
Thermal emission from qLMXB
qLMXB: quiescent Low Mass X-ray binaries
                                                                                             Chandra observation
           Black body like emission: F # T4(Rinf/D)2                                         of U24 in NGC6397
                                                       [Rutledge et al. 1999]
7 sources in globular clusters:
    - constant flux, purely H atmosphere,
    - Low magnetic fields —> almost pure thermal components,
    - In globular clusters —> accurate distances.

Simultaneous analysis assuming a single EoS for all qLMXB.
                                                                                    [Guillot Rutledge Brown 2011]

Exemple: constant radius model [Guillot 2013]
                                                                                 [Baillot d’Étivaux+, ApJ 2019]

                                                With latest X-ray spectra
                                                model and new data :

                —> very low radii (8-11 km)
                                                                                RNS ≈ 11.0(5) km
Multi-messenger GW analysis
Direct comparison of the GW waveforms to the raw/whitened data, with EoS modeling
+ Mtotal ≤ Mthresh( ≈ 2.3M⊙).

     ntr = nsat                                              ntr = 2nsat

                                                                           Capano, Tews et al. 2019
                    —> Low NS radii also seems to be preferred.
GW analysis from the Λ PDF
                                                                                                 0,004

  Impact of 2 analyses from raw data:                                                                                                          TD-LVC-2018
                                                                                                                                               TD-De-2018
                                                                                                                                                   GW170817

  LVC, PRX 9 (2019)                                                                              0,003
                                                                                                                                                   Mtot=2.73M
                                                                                                                                                   Mchirp=1.186M

  De et al., PRL 121 (2019)

                                                                                           PDF
                                                                                                 0,002

      Impact of 2 prior sets:
      #1: small ranges defined from global nuclear physics analysis (JM 2018)                    0,001

      #2: large ranges (included non-zero probabilities)                                         0,000
                                                                                                         0     100   200   300   400   500   600       700         800
                                                                                                                                 Λ

                                               Marginalization over R1.4                    H. Güven et al., PRC 102 (2020)
             (a)                          TD-LVC-2018+χEFT+GMR                  (b)                                        TD-LVC-2018+χEFT+GMR
       1,2                                                                1,2
                                          TD-De-2018+χEFT+GMR                                                              TD-De-2018+χEFT+GMR
                                          TD-LVC-2018                                                                      TD-LVC-2018
                                          TD-De-2018                                                                       TD-De-2018
                                          χEFT                                                                             χEFT
       0,9                                GMR                             0,9                                              GMR
                                                     Prior set #1                                                                                  Prior set #2
PDF

                                                                    PDF

       0,6                                                                0,6

       0,3                                                                0,3

       0,0                                                                0,0
                   11    12               13           14                             11         12                         13                         14
                              R1.4 (km)           1.4M⊙ NS radius                                            R1.4 (km)
Quarkyonic matter
Quarkyonic matter
Idea:
• As a result of the non-perturbative regime of
  QCD at low energy, baryons emerge as « Cooper
  pairs » of quarks around the Fermi energy.
• The associated gap Δ defines the baryon region,
  on top of the deeply bound free quark states.

Baryon density:
                      nucleons       quarks

                                                    The gap result from the unknown solution of
Connection between nucleon and quark
                                                    QCD in dense matter. In the present model, it
s.p. energies: ϵ (k − Δ) = N μ
                B FB            c Q                 is given by the following prescription:

                                                     where Λ is the QCD scale (~300 MeV).
Quarkyonic matter
Equation of state:

                                only     cross- quark
                                nucleons over dominance
                                                + shallow gap
                                                of nucleons

 M-R relation at equilibrium:
Extension to asymmetric matter
Work in preparation with P. Proust and H. Hansen.

                                From 2 Fermi seas (SM and NM) to 4:

                                                                          p             n
                                                                              u
                                                                                   d

                                                                                            Isoscalar
   2 Fermi seas:                             4 Fermi seas:                                  dynamical
                                                                                            symmetry
   1 variable: nB                            2 variables: nB and δB
                                                                                       Nucleons are constructed
   1 constraint:                             2 constraints:                            from quarks (p: uud; n:
   ϵB(kFB − Δ) = Nc μQ                       ϵB(kFB − Δ) = Nc μQ and δQ = δN /Nc       udd) and quarks are
                                                                                       released from the
                                                                                       destruction of nucleons
                                                                                       (dynamical symmetry).
   Construct the 2 densities.                Construct the 4 densities.
Quarkyonic (asymmetric) matter
                                                                      800
                3000                                                            QCD=300   MeV
                                                                      600

                                                         EB/A (MeV)
  µn (MeV)

                2000                                                  400

                                                                      200
                1000              sym. matter
                                 asym. matter                           0
                                  neut. matter
                   0
                1000                                                    1

                                                                      0.8
PB (MeV.fm-3)

                                                        (vs,B/c)2     0.6
                 500
                                                                      0.4

                                                                      0.2
                   0
                                                                        0
                       0   500   1000 1500       2000                       0     0.5       1     1.5   2
                               2       -3                                               nB (fm-3)
                             Bc (MeV.fm )
Quarkyonic beta-eq. Matter
                                                                     800
                3000
                                                                     600

                                                        EB/A (MeV)
  µn (MeV)

                2000                                                 400

                                 nucl. matter                        200
                1000             Q. matt. 300
                                 Q. matt. 320                          0
                                 Q. matt. 340
                   0
                1000                                                   1

                                                                     0.8
PB (MeV.fm-3)

                                                       (vs,B/c)2     0.6
                 500
                                                                     0.4

                                                                     0.2
                   0
                                                                       0
                       0   500   1000 1500      2000                       0   0.5       1     1.5   2
                               2       -3                                            nB (fm-3)
                             Bc (MeV.fm )
Quarkyonic stars
                3                                               3
                                nucl. matter
                                Q. matt. 300
                                Q. matt. 320
                2                                               2
     M (Msun)

                                                     M (Msun)
                                Q. matt. 340

                1                                               1

                0                                               0
                    10   12       14       16   18                  200   400    600     800   1000
                              R (km)                                            GW
      1000                                                      3
          800
                                                                2
                                                     M (Msun)
          600
GW

          400
                                                                1
          200
                0                                               0
                    10   12       14       16   18                  0.3    0.6         0.9     1.2
                              R (km)                                      nc (fm-1)
In summary
Possible tensions between nuclear physics expectation and some observations.
—> it may signal that nucleonic matter changes its nature soon after saturation density.

We have explored the newly suggested quarkyonic model for dense matter.
We have suggested an extension to asymmetric matter assuming an isoscalar dynamical symmetry
among baryons and quarks:

    •   Asymmetric matter has same features as SM: cross-over, peak in the sound speed, etc…
    •   Quarkyonic stars have an interesting path in the MR plot. They have higher maximal mass
        than NS (built on top of the same meta-model).

 In the future: extension to finite T, neutrino scattering, inclusion of strangeness, etc… (with also
 A. Pfaff, R. Stiele, R. Somasundaram)
Conclusion and outlook
Multi-messenger observation: The BNS GW + kilonovae EM signal + GRB (+ neutrinos?).
Variety of GW sources: BNS, BH-NS, CCSN, continuous emission, etc…
(Futur) post-merger GW signal: investigation of phase transitions.

Future upgrades and new telescopes (a lot of new data):
GW interferometers: upgrades of LIGO-Virgo (KAGRA, LIGO India).
E-M follow-up: GRANDMA, ZTF à (future) LSST.
3rd generation (~2030-2040): Cosmic explorer, Einstein telescope.
Space interferometer (LISA ~2035): low frequencies (trigger future mergers).

   ET

                                 LSST
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