Inhomogeneous nuclear matter in compact stars Kenichiro Nakazato - - PowerPoint PPT Presentation

inhomogeneous nuclear matter in compact stars
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Inhomogeneous nuclear matter in compact stars Kenichiro Nakazato - - PowerPoint PPT Presentation

Inhomogeneous nuclear matter in compact stars Kenichiro Nakazato Kyushu University International Symposium on Neutron Star Matter (NSMAT2016), November 23, 2016 Compact stars Supernova core core collapse supernova Proto-neutron


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SLIDE 1

Inhomogeneous nuclear matter in compact stars

Ken’ichiro Nakazato

(Kyushu University)

International Symposium on Neutron Star Matter (NSMAT2016), November 23, 2016

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SLIDE 2

Compact stars

Supernova core

core collapse supernova

Proto-neutron star (PNS) Neutron star (NS)

  • r quark star??
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SLIDE 3

Interior of neutron star

  • Static structure of nuclear matter at T = 0.

crust(inhomogeneous) core(uniform)

n e A n p Y?

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SLIDE 4

Supernova core

  • Nuclear matter is compressed due to stellar

collapse. n0

0.1n0 0.01n0

density

n0 : nuclear density

~ 3×1014 g/cm3 uniform matter clusters of nucleons (nuclei)

neutron proton

?

matter

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SLIDE 5

Nuclear pasta

  • “Nuclei” deform at subnuclear densities.

density ↗ “Nuclei” “Hole nuclei”

Figure by K. Oyamatsu (1993)

meat ball spaghetti lasagna macaroni Swiss cheese

uniform matter

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SLIDE 6

Analogy with polymer shapes

  • Phys. Today 52, No.2, 32 (1999)

fA ↗

  • A complex structure (gyroid) is discovered

experimentally between cylinder and slab. fA

T

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SLIDE 7

Liquid-drop approach to gyroid

  • They are not the energy-minimum

phase for any volume fraction u.

  • Energy of double gyroid is lower.

double gyroid single gyroid

u

c.f., Nakazato et al., PRL 103 (2009) 132501. Nakazato et al., PRC 83 (2011) 065811.

Yp = 0.3

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SLIDE 8

Hartree-Fock result for gyroid

  • Double gyroid is unstable

but single gyroid would exist as metastable state in proto-neutron stars.

Schuetrumpf et al., PRC 91 (2015) 025801

binding energy (MeV)

single gyroid

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SLIDE 9

Proto-neutron star

  • Proto-neutron star (PNS) is nascent neutron

star formed just after the supernova. → System of nuclear matter with finite T.

  • It is cooled by neutrino emission.

→ Interaction in inhomogeneous phase.

Supernova

high density inner low density

  • uter

 A

uniform inhomogeneous

T ~ MeV

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SLIDE 10

Equation of state at finite T

  • Nuclear physics at

finite T is needed for studies of supernova and PNS evolution. → Table of equation

  • f state (EOS).

T B Yp

NS EOS

Yp B

inhomogeneous @T = 0 0.5 B(g/cm3) 1014 106 0.01 100 T (MeV)

proton fraction Yp

Fischer+ (2011)

PNS cooling

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SLIDE 11

New nuclear EOS table

  • Popular EOS tables:

– Lattimer & Swesty (1991) – Shen et al. (1998)

→ phenomenological

  • New EOS table.

Togashi et al., submitted inhomogeneous

 based on realistic nuclear force.

– Togashi & Takano (2013)

 inhomogeneous phase with Thomas-Fermi approach.

– Oyamatsu (1993) Yp = 0.5 Yp = 0.01

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SLIDE 12

Comparison at T = 0

  • Difference in neutron matter (Yp = 0) EOS.

– seen in symmetry energy Esym and gradient L.

New EOS (Variatinal) Esym = 30 MeV L = 35 MeV Shen EOS Esym = 37 MeV L = 111 MeV

Variational Shen EOS

E / N [MeV]

Esym

nB [fm-3]

Yp = 0.5 Yp = 0

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SLIDE 13

Inhomogeneous matter in PNS

  • New EOS has wider inhomogeneous phase

and larger mass number of nuclei.

– because of smaller symmetry gradient L.

Inhomogeneous

New EOS Shen EOS PNS profile of 7s after the bounce, model from Nakazato et al. (2013) inner region

  • uter region
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SLIDE 14

Summary

  • Inhomogeneous phase appears in compact

stars at subnuclear densities, e.g. NS crust.

  • In proto-neutron stars (PNS), pasta nuclei are

likely to appear, even for metastable gyroid.

  • For studies of supernova and PNS, equation
  • f state (EOS) including inhomogeneous at

finite temperatures is needed. A new EOS table has been constructed!

  • Role of nuclear physics in NS crust.

→ stay tuned for next Sotani-san’s talk.