Log S

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Solar vicinity, close-by young isolated NSs, and tests of cooling curves

Sergei Popov

(Sternberg Astronomical Institute)

Co-authors: H.Grigorian, R. Turolla, D. Blaschke

ECT*, Trento, September 14, 2005

Plan of the talk

Intro. Close-by NSs

Age-Distance diagram

Solar vicinity. Stars

Spatial distribution

Mass spectrum

Two tests of cooling

Brightness constraint

Sensitivity of two tests

Final conclusions

2

Isolated neutron stars population: in the Galaxy and at the backyard

 INSs appear in many flavours

 Radio pulsars

 AXPs

 SGRs

 CCOs

 RINSs

Note a recent discovery by Lyne et al. (submited to Nature, see later)

 Local population of young NSs is different (selection)

 Radio pulsars

 Geminga+

 RINSs

3

Close-by radioquiet NSs

 Discovery:

Walter et al. (1996)

 Proper motion and distance: Kaplan et al.

No pulsations

Thermal spectrum

Later on: six brothers

RX J1856.5-3754

4

Magnificent Seven

Name

RX 1856

RX 0720

RBS 1223

RBS 1556

RX 0806

RX 0420

RBS 1774

Period, s

-

8.39

10.31

-

11.37

3.45

9.44

Radioquiet (?)

Close-by

Thermal emission

Long periods

5

Population of close-by young NSs

 Magnificent seven

 Geminga and 3EG J1853+5918

 Four radio pulsars with thermal emission

(B0833-45; B0656+14; B1055-52; B1929+10)

 Seven older radio pulsars, without detected thermal emission.

6

Age-distance diagram

A toy-model: a local sphere (R=300 pc) and a flat disk.

Rate of NS formation in the sphere is

235 Myr -1 kpc -3

(26-27 NS in Myr in the whole sphere).

Rate in the disc is

10 Myr -1 kpc -2

(280 NS in Myr up to

3 kpc).

7

(astro-ph/0407370)

More realistic age-dist. diagram

Initial distribution from Popov et al. 2005.

Spatial evolution is not followed.

For the line of “visibility”

(solid line in the middle)

I assume the limiting flux 10 -12 erg s -1 cm -2 and masses are <1.35

(Yakovlev et al. curves).

8

Realistic age-distance diagram

Realistic initial distribution.

Spatial evolution is taken into account.

The line of “visibility” is drawn as the dotted line.

Five curves correspond to

1, 4 , 13, 20 and 100 NSs.

9

Solar vicinity

 Solar neighborhood is not a typical region of our Galaxy

Gould Belt

R=300-500 pc

Age: 30-50 Myrs

20-30 SN per Myr (Grenier 2000)

The Local Bubble

Up to six SN in a few Myrs

10

The Gould Belt

Poppel (1997)

R=300 – 500 pc

Age 30-50 Myrs

Center at 150 pc from the Sun

 Inclined respect to the galactic plane at 20 degrees

 2/3 massive stars in

600 pc belong to the

Belt

11

Distribution of open clusters

(Piskunov et al. astro-ph/0508575)

12

Surface density of open clusters

(Piskunov et al.)

13

Spatial distribution of close-by open clusters in 3D

Grey contours show projected density distribution of young

(log T<7.9) clusters.

14

(Piskunov et al.)

Clusters and absorption

Triangles –

Gould Belt clusters.

(Piskunov et al.)

15

Spatial distribution

More than ½ are in

+/- 12 degrees from the galactic plane.

19% outside +/- 30 o

12% outside +/- 40 o

(Popov et al. 2005

Ap&SS 299, 117)

Lyne et al. reported transient dim radio sources with

possible periods

about seconds in the galactic plane discovered in the Parkes survey

(talk by A. Lyne in Amsterdam, august 2005; subm. to Nature).

Shall we expect also Lyne’s objects from the Belt????

YES!!! And they even have to be brighter (as they are closer).

The problem – low dispersion.

16

Mass spectrum of NSs

 Hipparcos data on near-by massive stars

Mass spectrum of local young NSs can be different from the general one (in the

Galaxy)

Progenitor vs NS mass:

Timmes et al. (1996);

Woosley et al. (2002)

(masses of secondary objects in NS+NS)

astro-ph/0305599

17

Two tests

Age – Temperature

&

Log N – Log S

18

Standard test: temperature vs. age

Kaminker et al. (2001)

19

Log N – Log S calculations

-3/2 sphere: number ~ r 3 flux ~ r -2

-1 disc: number ~ r 2 flux ~ r -2

Log of flux (or number counts) 20

Log N – Log S as an additional test

 Standard test: Age – Temperature

 Sensitive to ages <10 5 years

 Uncertain age and temperature

 Non-uniform sample

Log N – Log S

 Sensitive to ages >10 5 years

(when applied to close-by NSs)

 Definite N (number) and S (flux)

 Uniform sample

 Two test are perfect together!!!

astro-ph/0411618

21

List of models (Blaschke et al. 2004)

Blaschke et al. used 16 sets of cooling curves.

They were different in three main respects:

1.

2.

3.

Absence or presence of pion condensate

Different gaps for superfluid protons and neutrons

Different T s

-T in

Pions Crust Gaps

Model I. Yes C A

Model II. No D B

Model III. Yes C B

Model IV. No C B

Model V. Yes D B

Model VI. No E B

Model VII. Yes C B’

Model VIII.Yes C B’’

Model IX. No C A

22

Model I

Pions.

Gaps from Takatsuka & Tamagaki

(2004)

 T s

-T in from Blaschke, Grigorian,

Voskresenky (2004)

Can reproduce observed Log N – Log S

23

Model II

No Pions

Gaps from Yakovlev et al.

(2004), 3 P

2 neutron gap suppressed by 0.1

 T s

-T in from Tsuruta (1979)

Cannot reproduce observed Log N – Log S

24

Model III

Pions

Gaps from Yakovlev et al.

(2004), 3 P

2 neutron gap suppressed by 0.1

 T s

-T in from Blaschke,

Grigorian, Voskresenky (2004)

Cannot reproduce observed Log N – Log S

25

Model IV

No Pions

Gaps from Yakovlev et al.

(2004), 3 P

2 neutron gap suppressed by 0.1

 T s

-T in from Blaschke, Grigorian,

Voskresenky (2004)

Cannot reproduce observed Log N – Log S

26

Model V

Pions

Gaps from Yakovlev et al.

(2004), 3 P

2 neutron gap suppressed by 0.1

 T s

-T in from Tsuruta (1979)

Cannot reproduce observed Log N – Log S

27

Model VI

No Pions

Gaps from Yakovlev et al.

(2004), 3 P

2 neutron gap suppressed by 0.1

 T s

-T in from Yakovlev et al.

(2004)

Cannot reproduce observed Log N – Log S

28

Model VII

Pions

Gaps from Yakovlev et al. (2004), 3 P

2 neutron gap suppressed by 0.1.

1 P

0 proton gap suppressed by 0.5

 T s

-T in from Blaschke,

Grigorian, Voskresenky

(2004)

Cannot reproduce observed Log N – Log S

29

Model VIII

Pions

Gaps from Yakovlev et al.

(2004), 3 P

2 neutron gap suppressed by 0.1. 1 P

0 proton gap suppressed by

0.2 and 1 P

0 neutron gap suppressed by 0.5.

 T s

-T in from Blaschke,

Grigorian, Voskresenky

(2004)

Can reproduce observed Log N – Log S

30

Model IX

No Pions

Gaps from Takatsuka &

Tamagaki (2004)

 T s

-T in from Blaschke,

Grigorian, Voskresenky

(2004)

Can reproduce observed Log N – Log S

31

HOORAY!!!!

Log N – Log S can select models!!!!!

Only three (or even one!) passed the second test!

…….still………… is it possible just to update the temperature-age test???

May be Log N – Log S is not necessary?

Let’s try!!!!

32

Brightness constraint

 Effects of the crust

(envelope)

 Fitting the crust it is possible to fulfill the

Tt test …

 …but not the second test:

Log N – Log S !!!

(H. Grigorian astro-ph/0507052)

33

Sensitivity of Log N – Log S

Log N – Log S is very sensitive to gaps

Log N – Log S is not sensitive to the crust if it is applied to relatively old objects (>10 4-5 yrs)

Log N – Log S is not very sensitive to presence or absence of pions

Model I (YCA) Model II (NDB) Model III (YCB)

Model IV (NCB) Model V (YDB) Model VI (NEB)

Model

VII(YCB’) Model VIII (YCB’’) Model IX (NCA)

We conclude that the two test complement each other

34

THAT’S ALL. THANK YOU!

35

Resume

 We live in a very interesting region of the Milky

Way!

 Log N – Log S test can include NSs with unknown ages, so additional sources

(like the Magnificent Seven) can be used to test cooling curves

 Two tests (LogN –LogS and Age-Temperature) are perfect together.

36

Radio detection

Malofeev et al. (2005) reported detection of

1RXS J1308.6+212708 (RBS 1223) in the low-frequency band (60-110 MHz) with the radio telescope in Pushchino.

(back)

37

Evolution of NS: spin + magnetic field

Ejector → Propeller → Accretor → Georotator

1 – spin-down

2 – passage through a molecular cloud

3 – magnetic field decay

Lipunov (1992) astro-ph/0101031

38

Model I

Pions.

Gaps from Takatsuka & Tamagaki

(2004)

 T s

-T in from Blaschke, Grigorian,

Voskresenky (2004)

Can reproduce observed Log N – Log S

(back)

39

Model IX

No Pions

Gaps from Takatsuka &

Tamagaki (2004)

 T s

-T in from Blaschke,

Grigorian, Voskresenky

(2004)

Can reproduce observed Log N – Log S

(back)

40

Model III

Pions

Gaps from Yakovlev et al.

(2004), 3 P

2 neutron gap suppressed by 0.1

 T s

-T in from Blaschke,

Grigorian, Voskresenky (2004)

Cannot reproduce observed Log N – Log S

(back)

41

Model II

No Pions

Gaps from Yakovlev et al.

(2004), 3 P

2 neutron gap suppressed by 0.1

 T s

-T in from Tsuruta (1979)

Cannot reproduce observed Log N – Log S

(back)

42

Model IV

No Pions

Gaps from Yakovlev et al.

(2004), 3 P

2 neutron gap suppressed by 0.1

 T s

-T in from Blaschke, Grigorian,

Voskresenky (2004)

Cannot reproduce observed Log N – Log S

(back)

43

Model V

Pions

Gaps from Yakovlev et al.

(2004), 3 P

2 neutron gap suppressed by 0.1

 T s

-T in from Tsuruta (1979)

Cannot reproduce observed Log N – Log S

(back)

44

Model VI

No Pions

Gaps from Yakovlev et al.

(2004), 3 P

2 neutron gap suppressed by 0.1

 T s

-T in from Yakovlev et al.

(2004)

Cannot reproduce observed Log N – Log S

(back)

45

Model VII

Pions

Gaps from Yakovlev et al. (2004), 3 P

2 neutron gap suppressed by 0.1.

1 P

0 proton gap suppressed by 0.5

 T s

-T in from Blaschke,

Grigorian, Voskresenky

(2004)

Cannot reproduce observed Log N – Log S

(back)

46

Model VIII

Pions

Gaps from Yakovlev et al.

(2004), 3 P

2 neutron gap suppressed by 0.1. 1 P

0 proton gap suppressed by

0.2 and 1 P

0 neutron gap suppressed by 0.5.

 T s

-T in from Blaschke,

Grigorian, Voskresenky

(2004)

Can reproduce observed Log N – Log S

(back)

47

NS+NS binaries

Pulsar Pulsar mass Companion mass

B1913+16 1.44 1.39

B2127+11C 1.35 1.36

B1534+12 1.33 1.35

J0737-3039 1.34 1.25

J1756-2251 1.40 1.18

(PSR+companion)/2

J1518+4904 1.35

J1811-1736 1.30

J1829+2456 1.25

(David Nice, talk at Vancouver)

48

(

Back )

P-Pdot for new transient sources

Lyne et al. 2005

Submitted to Nature

(I’m thankful to

Prof. Lyne for giving me an opportunity to have a picture in advance)

Estimates show that there should be about

400 000 sources of this type in the Galaxy

(back)

49

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