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Page 1: Vela - Fermi Gamma-ray Space Telescope · In 100-300 GeV, the TS value of the Vela pulsar drops to 2.4 (1.5σ), and the 95% c.l. upper limit was shown. A spectral fit was performed

Vela

Page 2: Vela - Fermi Gamma-ray Space Telescope · In 100-300 GeV, the TS value of the Vela pulsar drops to 2.4 (1.5σ), and the 95% c.l. upper limit was shown. A spectral fit was performed

Detec%on  of  Pulsed  >  50  GeV  Emissions  from  the  Vela  pulsar  with  Fermi-­‐LAT

Jumpei  Takata    (The  University  of  Hong  Kong)  

with  Leung,  Gene  C.K.  (UCSD,USA)  ,  Ng,  C.W.,  Cheng  K.S.  (HKU),  

Kong,  A.K.H.,  Tam,  P.H.T.  (NTHU,Taiwan),    and  Hui,  C.Y.  (CHU,  Korea)    

(Leung+,    ApJL  in  press,  arXiv:1410.5208)

Vela

Page 3: Vela - Fermi Gamma-ray Space Telescope · In 100-300 GeV, the TS value of the Vela pulsar drops to 2.4 (1.5σ), and the 95% c.l. upper limit was shown. A spectral fit was performed

Outline

1.    Introduc0on              -­‐Observa0ons  for  the  pulsed  emissions  above  >10GeV    

2.    Fermi-­‐data  analysis  of  the  Vela  pulsar              -­‐Pulse  search  >50GeV                      -­‐Phase-­‐averaged  spectrum  3.  Emission  model              -­‐Switching  pulsar  magnetosphere  

Page 4: Vela - Fermi Gamma-ray Space Telescope · In 100-300 GeV, the TS value of the Vela pulsar drops to 2.4 (1.5σ), and the 95% c.l. upper limit was shown. A spectral fit was performed

1  Introduc0on;    Pulsed  emissions  at    >10GeV

•  High-­‐Energy  Pulsars                                                                                          (Saz  Parkinson  et  al.    2012)      -­‐  20    (12)  gamma-­‐ray  pulsars  show  

evidence  of  the  pulsa0ons  in  the  range  >10GeV  (>25GeV)  

 -­‐  Fermi-­‐LAT  detected    >60GeV  pulsed  

emissions  of  PSRs  J0614-­‐3329  (63GeV)  and  J1954+2836  (62GeV)    

Blue  >0.1GeV  Pink  >  10GeV  Black  >25GeV

(Fermi  collabora0on  2013)  

Energy (GeV)-110 1 10 210

)-1

s-2

dN/d

E (e

rg c

m2 E

-1210

-1110

PSR J0614-3329

Full Band Fit (PLEC1)

Energy Band Fits

Page 5: Vela - Fermi Gamma-ray Space Telescope · In 100-300 GeV, the TS value of the Vela pulsar drops to 2.4 (1.5σ), and the 95% c.l. upper limit was shown. A spectral fit was performed

1  Introduc0on;    Pulsed  emissions  at    >10GeV

•  High-­‐Energy  Pulsars                                                                      (Saz  Parkinson  et  al.    2012)      -­‐  20    (12)  gamma-­‐ray  pulsars  show  

evidence  of  the  pulsa0ons  in  the  range  >10GeV  (>25GeV)  

 -­‐  Fermi-­‐LAT  detected    >60GeV  pulsed  

emissions  of  PSRs  J0614-­‐3329  (63GeV)  and  J1954+2836  (62GeV)    

Blue  >0.1GeV  Pink  >  10GeV  Black  >25GeV

(Fermi  collabora0on  2013)  

Energy (GeV)-110 1 10 210

)-1

s-2

dN/d

E (e

rg c

m2 E

-1210

-1110

PSR J0614-3329

Full Band Fit (PLEC1)

Energy Band Fits

Observed  cut-­‐off  feature  provides  a  hint  of  the  emission  process  in  the  pulsar  magnetosphere.

Page 6: Vela - Fermi Gamma-ray Space Telescope · In 100-300 GeV, the TS value of the Vela pulsar drops to 2.4 (1.5σ), and the 95% c.l. upper limit was shown. A spectral fit was performed

1  Introduc0on;    Pulsed  emissions  at  >10GeV

•  Crab  pulsar                                                      (see  talks  by  Zanin  and  Sito  )  

-­‐  Pulsed  emissions  in  0.1-­‐1TeV  [VERITAS;  (Aliu  et  al.  2011)  and  MAGIC  (Aleksic  et  al.  2012)  collabora0ons]    -­‐  No  predic0ons  by  the  standard  curvature  radia0on  models.      -­‐  Indica0on  of  the  Inverse-­‐Compton  sca`ering  process  in  outer  magnetosphere  (Lyu0kov  2012)  or  pulsar  wind  region  (Aharonian  et  al.  2012).   (Aliu  et  al.  2011)

Page 7: Vela - Fermi Gamma-ray Space Telescope · In 100-300 GeV, the TS value of the Vela pulsar drops to 2.4 (1.5σ), and the 95% c.l. upper limit was shown. A spectral fit was performed

 1.  How  does  the  spectrum  look  like  in  10-­‐100GeV?      2.  Can  ground  based  telescopes  measure  the  emissions  from  the  high-­‐energy  pulsars?      3.  What  does  the  observa0on  in  10-­‐100GeV  range  tell  us  about  the  emission  mechanisms?  

1  Introduc0on;    Pulsed  emissions  at  >10GeV

Page 8: Vela - Fermi Gamma-ray Space Telescope · In 100-300 GeV, the TS value of the Vela pulsar drops to 2.4 (1.5σ), and the 95% c.l. upper limit was shown. A spectral fit was performed

2  Vela  pulsar  

1.,  P=0.089  s,  Lsd~7x10^36  erg/s,  d~0.25kpc.  

2.,  Brightest  gamma-­‐ray  source    (TS=72  in  30-­‐100GeV).  

3.,  Fermi-­‐LAT  detected  pulsed  emissions  at    >  37GeV                (Saz  Parkinson  et  al.    2012)    4.,  H.E.S.S.  collabora0on  (2014)  found  the  pulsed  emissions  at  >30GeV,  with  mean  photon  energy  <40GeV>.      

Page 9: Vela - Fermi Gamma-ray Space Telescope · In 100-300 GeV, the TS value of the Vela pulsar drops to 2.4 (1.5σ), and the 95% c.l. upper limit was shown. A spectral fit was performed

2  Vela  pulsar;    I,  Pulsa0on  search  in  50-­‐300GeV  

•  Data  span;  2008  August  4  to  2013  October  18.  

•  Photons  within  4  degree  from  the  Vela  pulsar  are  weighted  its  source  probability.  

 

σ

– 12 –

1

0.9

0.8

0.7

0.6

0.5

0.4

0.3

0.2

0.1132.000 128.000 124.000

-42.00

0-44

.000

-46.00

0-48

.000

Right ascension

Decli

natio

n

Puppis A

Vela-Jr

Vela-X

Vela pulsar

1

0.9

0.8

0.7

0.6

0.5

0.4

0.3

0.2

0.1130.000 129.000 128.000

-45.00

0-46

.000

Right ascension

Decli

natio

n

0.5 deg

0.2 deg

Vela pulsar

Fig. 2.— Upper panel: Smoothed counts map of the 8◦ × 8◦ region with 0.◦2 × 0.◦2 pixel

size. The Vela pulsar is labelled with a green diamond, 2FGL sources with red crosses andextended sources with yellow ellipses. The white square represents the region shown in the

lower panel. Lower panel: Counts map of the 2◦ × 2◦ region with 0.◦1 × 0.◦1 pixel size. Nosmoothing is applied. The 5 photons with PPSR > max(PPWN , PGAL) are all located withinthe 0.◦2 radius circle.

Page 10: Vela - Fermi Gamma-ray Space Telescope · In 100-300 GeV, the TS value of the Vela pulsar drops to 2.4 (1.5σ), and the 95% c.l. upper limit was shown. A spectral fit was performed

2  Vela  pulsar;    I,  Pulsa0on  search  in  50-­‐300GeV  

•  More  50-­‐300  GeV  photons  at  the  second  peak  in  the  lower  energy  bands.  

 •  Weighted  H-­‐test  (Kerr  et  al.  2011)  for  

>50GeV  pulsed  emissions                àH-­‐Sta0s0c  is  15.4  ~3.1σ.  

σ

50-­‐300GeV

30-­‐50GeV  

10-­‐100GeV

1-­‐10GeV

0.1-­‐1GeV

Pulse  Phase

Page 11: Vela - Fermi Gamma-ray Space Telescope · In 100-300 GeV, the TS value of the Vela pulsar drops to 2.4 (1.5σ), and the 95% c.l. upper limit was shown. A spectral fit was performed

2  Vela  pulsar;    II, Pulsa0on  search  in  50-­‐300GeV  

   •  We  selected  50-­‐300  GeV  photons,  which  show  source  probability    

                           à    5  photons  were  len    à  4  out  of  5  are  detected    at  the  second  pulse    

•  We  extracted  the  pulse  profile  in  30-­‐50GeV  with  a  block  func0on  

               (Bayesian  block  algorithm  ,                                                                                                                                                                              Scargle  et  al.  2013)      •  Likelihood  ra0o  test  gives  the  

evidence  of  pulsa0on    〜4σ  for  >79GeV  and    〜3.3σ  for  >90GeV  

 

Block  func0on

PPSR >max(PPWN ,PGAL )

>100GeV

>70GeV

>50GeV

30-­‐50GeV  

Two  Pulse  Phase

0

1

Coun

t

Page 12: Vela - Fermi Gamma-ray Space Telescope · In 100-300 GeV, the TS value of the Vela pulsar drops to 2.4 (1.5σ), and the 95% c.l. upper limit was shown. A spectral fit was performed

2  Vela  pulsar;    Spectral  analysis  

10-12

10-11

10-10

10-9

10-8

102 103 104 105 106

Flu

x (e

rg c

m-2

s-1

)

Energy (Mev)

– 4 –

phase-averaged fit. The fluxes of the 3 extended sources were fixed to the exposure-correctedoff-pulse values. The Vela pulsar was modeled with a power law with exponential cutoff

dN

dE= N0

!

E

E0

"−Γ

exp

#

!

E

Ecut

"b$

. (1)

The best-fit values for the phase-averaged spectrum are Γ = 1.086 ± 0.004, Ecut = 383 ± 5

MeV and b = 0.510± 0.002.

Spectral points were obtained by performing likelihood fits in individual energy bands,

fitting only the normalization parameters of the Vela pulsar and point sources within 4◦,

modeled as power laws, and the diffuse backgrounds. All other sources were fixed to the best-fit full band values. For the energy bands 50-100 GeV and 100-300 GeV, the normalization

parameter of Vela-X was also left free. The results are shown in Figure 1. The Vela pulsar isdetected in 50-100 GeV with a TS value of 9.5 (3.1σ), and a photon flux of (3.17±1.78)×10−11

ph cm−2 s−1. In 100-300 GeV, the TS value of the Vela pulsar drops to 2.4 (1.5σ), and the

95% c.l. upper limit was shown.

A spectral fit was performed in 50-300 GeV. The source model was the same as above,

except that the Vela pulsar and Vela-X were now modeled as power laws with the normaliza-tion factors and spectral indices left free. The Vela pulsar was detected with a TS value of

11.7 (3σ), with a photon index of −2.53± 0.98 and a photon flux of (4.27± 2.13)× 10−11 ph

cm−2 s−1. Figure 2 (upper panel) shows the smoothed counts map above 50 GeV in a 8◦×8◦

region. The emission around the position of the Vela pulsar is point-like and distinct from

that of Vela-X. In contrast, the emission from Vela-Jr, with a spatial template of comparablesize, is visibly extended.

2.2. Pulsation Search

2.2.1. Weighted H-test

Given the significant detection of the Vela pulsar in 50-300 GeV, we performed a pul-

sation search in this energy range. We applied a weighted H-test (Kerr et.al. 2011) to this

energy range. Each photon within 4◦ from the Vela pulsar was weighted by its probabilityto have originated from the pulsar (PPSR), calculated using the gtsrcprob tool. We used

the spectral model obtained from the spectral fit in 50-300 GeV described in Section 2.1 to

calculate the probabilities. The sum of probabilities%

PPSR = 6.3, and the weighted H-statistic is 15.4, corresponding to a p-value of 0.002 or 3.1σ. Figure 3(a) shows the weighted

light curve in 50-300 GeV. The weighted H-test for higher energy ranges returned H < 15,

Γ〜1.09  Ecut〜0.39GeV  b〜0.51

100GeV

Phase-­‐averaged  spectrum

Page 13: Vela - Fermi Gamma-ray Space Telescope · In 100-300 GeV, the TS value of the Vela pulsar drops to 2.4 (1.5σ), and the 95% c.l. upper limit was shown. A spectral fit was performed

2  Vela  pulsar;    Spectral  analysis  

HESS

Page 14: Vela - Fermi Gamma-ray Space Telescope · In 100-300 GeV, the TS value of the Vela pulsar drops to 2.4 (1.5σ), and the 95% c.l. upper limit was shown. A spectral fit was performed

3  Model  

Polar  cap  

Outer  gap

2-­‐D  Outer  gap

•  No  previous  “standard”  model  predicted  50-­‐100GeV  emissions  with  a  flux  level  of  

 -­‐Predicted  cut-­‐off  feature  (a  simple  exponen0al  cut-­‐off)  is  too  sharp  •  The  inverse-­‐Compton  sca`ering  

is  very  week  (Takata  et  al.  2006).  

•  The  curvature  radia0on  process  will  be  responsible  for  10-­‐100GeV  emissions    

~10−11erg / cm2s

Page 15: Vela - Fermi Gamma-ray Space Telescope · In 100-300 GeV, the TS value of the Vela pulsar drops to 2.4 (1.5σ), and the 95% c.l. upper limit was shown. A spectral fit was performed

3  Model  

•  Pulsar  magnetosphere  is  switching  between  sta0onary  states                        1,  Observa0on                -­‐Pulse  to  pulse  varia0on,  nulling  and  mode  change    of  radio  emissions              -­‐Mode  change  of  the  X-­‐ray  emissions  of  PSR  B0943+10  (Hermasen  et  al.                    2013)  and  of  the  GeV  emissions  of  PSR  J2021+4026  (Abdo  et  al.  2013)                      2,  Theory                -­‐  Non-­‐steady  polar  cap  accelerator  due  to  0me-­‐dependent  pair-­‐                    crea0on  process  (Levinson  et  al.  2005,  Timokhin  2010).                                                    

Switching  Pulsar  magnetosphere    

Page 16: Vela - Fermi Gamma-ray Space Telescope · In 100-300 GeV, the TS value of the Vela pulsar drops to 2.4 (1.5σ), and the 95% c.l. upper limit was shown. A spectral fit was performed

Injec0on  rate  of  the  par0cles  controls  the  gap  size  and  gamma-­‐ray  spectrum.  

Switching  outer  gap    

Electric  field

Page 17: Vela - Fermi Gamma-ray Space Telescope · In 100-300 GeV, the TS value of the Vela pulsar drops to 2.4 (1.5σ), and the 95% c.l. upper limit was shown. A spectral fit was performed

Injec0on  rate  of  the  par0cles  controls  the  gap  size  and  gamma-­‐ray  spectrum.  

Switching  outer  gap    

Electric  field e+

Page 18: Vela - Fermi Gamma-ray Space Telescope · In 100-300 GeV, the TS value of the Vela pulsar drops to 2.4 (1.5σ), and the 95% c.l. upper limit was shown. A spectral fit was performed

Injec0on  rate  of  the  par0cles  controls  the  gap  size  and  gamma-­‐ray  spectrum.  

Switching  outer  gap    

Electric  field e+

 

γ

Page 19: Vela - Fermi Gamma-ray Space Telescope · In 100-300 GeV, the TS value of the Vela pulsar drops to 2.4 (1.5σ), and the 95% c.l. upper limit was shown. A spectral fit was performed

Injec0on  rate  of  the  par0cles  controls  the  gap  size  and  gamma-­‐ray  spectrum.  

Switching  outer  gap    

Electric  field e+

 

γ

e+/e-­‐

Page 20: Vela - Fermi Gamma-ray Space Telescope · In 100-300 GeV, the TS value of the Vela pulsar drops to 2.4 (1.5σ), and the 95% c.l. upper limit was shown. A spectral fit was performed

Injec0on  rate  of  the  par0cles  controls  the  gap  size  and  gamma-­‐ray  spectrum.  

Switching  outer  gap    

Electric  field e+

 

γ

e+/e-­‐  

γ

Page 21: Vela - Fermi Gamma-ray Space Telescope · In 100-300 GeV, the TS value of the Vela pulsar drops to 2.4 (1.5σ), and the 95% c.l. upper limit was shown. A spectral fit was performed

•  The  outer  gap  region  develops  un0l    the  pair-­‐crea0on  process  makes  a  Goldreich-­‐Julian  current  (Hirotani  2006+;  Takata  et  al.  2004+)  

 

•  3-­‐D  local  model    -­‐  Dipole  magne%c  field  -­‐  Poisson  equa%on  and  par%cle  con%nuity  equa%on  -­‐  Pair-­‐crea%on  process        

Iin = 0.1IGJIin =10

−3 IGJIin =10

−6 IGJ

100MeV 100GeV

large  injec0on  à  thin  gap

Small  injec0on  à  thick  gap

Page 22: Vela - Fermi Gamma-ray Space Telescope · In 100-300 GeV, the TS value of the Vela pulsar drops to 2.4 (1.5σ), and the 95% c.l. upper limit was shown. A spectral fit was performed

•  The  outer  gap  region  develops  un0l    the  pair-­‐crea0on  process  makes  a  Goldreich-­‐Julian  current  (Hirotani  2006+;  Takata  et  al.  2004+)  

 

•  3-­‐D  local  model    -­‐  Dipole  magne%c  field  -­‐  Poisson  equa%on  and  par%cle  con%nuity  equa%on  -­‐  Pair-­‐crea%on  process        

Iin = 0.1IGJIin =10

−3 IGJIin =10

−6 IGJ

100MeV 100GeV

large  injec0on  à  thin  gap

Small  injec0on  à  thick  gap

•  Switching  •  (~s  scale)

Page 23: Vela - Fermi Gamma-ray Space Telescope · In 100-300 GeV, the TS value of the Vela pulsar drops to 2.4 (1.5σ), and the 95% c.l. upper limit was shown. A spectral fit was performed

3  Model  Switching  outer  gap    

N(IIN )∝ IINp

>0.1GeV

>20GeV

Phase–averaged  spectrum

Page 24: Vela - Fermi Gamma-ray Space Telescope · In 100-300 GeV, the TS value of the Vela pulsar drops to 2.4 (1.5σ), and the 95% c.l. upper limit was shown. A spectral fit was performed

3  Model  Switching  outer  gap    

10-13

10-12

10-11

10-10

10-9

102 103 104 105 106

Flu

x (

erg

cm

-2 s

-1)

Energy (MeV)

CTA1

100GeV

10-12

10-11

10-10

10-9

102 103 104 105 106

Flu

x (

erg

cm

-2 s

-1)

Energy (MeV)

J1709-­‐4429

100GeV

Page 25: Vela - Fermi Gamma-ray Space Telescope · In 100-300 GeV, the TS value of the Vela pulsar drops to 2.4 (1.5σ), and the 95% c.l. upper limit was shown. A spectral fit was performed

Summary  •  Fermi  enables us  to  study  the  pulsed  emissions  above  

10GeV  

•  Pulsed  >50GeV  emissions    from  the  Vela  pulsar.    àMore  photons  are  concentrated  at  second  peak                in  lower  energy  bands  .    •  Flux  at  50-­‐100GeV  is  of  order  of            àTarget  for  pulsed  emissions  at  >100GeV.    •  Switching  outer  gap    à  Is  gamma-­‐ray  emission  correlated  with  radio  emissions?  

~10−11erg / cm2s

Page 26: Vela - Fermi Gamma-ray Space Telescope · In 100-300 GeV, the TS value of the Vela pulsar drops to 2.4 (1.5σ), and the 95% c.l. upper limit was shown. A spectral fit was performed

Summary  •  Fermi  enables us  to  study  the  pulsed  emissions  above  

10GeV  

•  Pulsed  >50GeV  emissions    from  the  Vela  pulsar.    àMore  photons  are  concentrated  at  second  peak                in  lower  energy  bands  .    •  Flux  at  50-­‐100GeV  is  of  order  of            àTarget  for  pulsed  emissions  at  >100GeV.    •  Switching  pulsar  magnetosphere    à  Is  gamma-­‐ray  emission  correlated  with  radio  emission?  à  “Non-­‐thermal”  X-­‐ray/radio  correla0on  discovered  by  

Lommen  et  al  (2007).      

~10−11erg / cm2s