Evidence of coupling between the thermal and nonthermal emission in the gamma-ray binary LS I through optical observations

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Evidence of coupling between the thermal and nonthermal emission in the gamma-ray binary LS I +61 303 through optical observations X. Paredes-Fortuny, M. Ribo, V. Bosch-Ramon, J. Casares, O. Fors, J. Nu n ez, and D. del Ser Badia Variable Galactic Gamma-ray Sources 5 May 2015, Heidelberg Heart and Soul Nebula White circle: LS I +61 303 Image credit: Fabian Neyer

Outline 1. Introduction 2. Optical photometric monitoring 3. Optical spectroscopic data 4. Results 5. Discussion X. Paredes-Fortuny (UB) Outline 2 / 19

Outline 1. Introduction 2. Optical photometric monitoring 3. Optical spectroscopic data 4. Results 5. Discussion X. Paredes-Fortuny (UB) Introduction 2 / 19

γ-ray binaries with Be star I What are Be/γ-ray binaries? Be/γ-ray binaries where the companion is a Be star. There are three Be/γ-ray binaries currently known, namely LS I +61 303, PSR B1259 63 and HESS J0632+57 (Albert et al. 2006, Hinton et al. 2009, Aharonian et al. 2005, Casares et al. 2012). What are Be stars? Are non-supergiant fast-rotating early type stars which at some time have shown emission lines (e.g. Negueruela 1998). X. Paredes-Fortuny (UB) Introduction 3 / 19

γ-ray binaries with Be star II Nonthermal photons from gamma-ray binaries: shocks+synchroton+ic Thermal photons from gamma-ray binaries: star+disk Figure 1 : Sketch of the scenario of the gamma-ray binary PSR B1259 63. From NASA. X. Paredes-Fortuny (UB) Introduction 4 / 19

γ-ray binaries with Be star II Nonthermal photons from gamma-ray binaries: shocks+synchroton+ic Thermal photons from gamma-ray binaries: star+disk Figure 1 : Density map from SPH simulation of PSR B1259-63, 11 days prior to periastron. From Takata et al. (2012), see also Okazaki et al. (2011). X. Paredes-Fortuny (UB) Introduction 4 / 19

Description of LS I +61 303 I LS I +61 303 Is a γ-ray binary composed by an optical Be (B0 Ve) star (V 10.8) and a compact companion orbiting in a highly eccentric orbit with a period of 26.496 d (Gregory 2002). Modulated emission has been detected in radio, optical photometry, Hα spectroscopy, X-rays, GeV, and TeV (see Moldón 2012 and references therein). Frail and Hjellming (1991) obtained a distance of 2.0 ± 0.2 kpc. Paredes & Figueras (1986) detected optical variability and Mendelson & Mazeh (1989) suggested a 26.5 d optical periodicity. Aragona et al. 2009 found an orbital solution that supports e = 0.54 ± 0.03. Resulting in d apa /d peri 3, with d apa = 0.64 and d peri = 0.19 X. Paredes-Fortuny (UB) Introduction 5 / 19

Description of LS I +61 303 II Orbital Phase LS I +61 303 shows a 4.6 yr superorbital modulation in Radio flux and phase of the maximum (Fig.-left; from Gregory 2002) and EW Hα flux (Fig.-right; from Zamanov et. al 2013). 432 GREGORY Vol. Orbital Phase 1 0.8 0.6 0.4 0.2 0 3.6 3.8 4 4.2 4.4 4.6 4.8 5 P 2 Cycles 0 3.6 3.8 4 4.2 4.4 4.6 4.8 5 a 250 0 mjy (10 3 days) in the gravitational field of the neutron sta true, this would require the orbital plane to be inclined w respect to the Be star disk. We will now attempt to test precession model by comparison with the measurements If the two planes are inclined, then it follows that the n tron star will intersect the disk plane at two opposite po in its orbit along the line of nodes. Because of precess the line of nodes will rotate in the orbital plane at a cons angular rate,. If the radio outbursts are associated w accretion of disk material by the neutron star at these in section points, then it follows that the outburst times wi progressively delayed, assuming the Be star rotation has same sense as the neutron star orbital motion. For a circ orbit (e ¼ 0), the delay would correspond to a constant o tal phase shift per orbit; i.e., Dh 1 = a constant. Recall f the definition of orbital phase in equation (1), h 1 = the f tion of one orbital period. The zero of 1 is by conven measured from the orbital position of the neutron star JD ¼ 2; 443; 366:775, the date of the first radio detectio the star. For an elliptical orbit D 1 will vary nonuniform as can be seen from the following argument. The a through which the line of nodes rotates in one orbital pe is a constant = P 1. Because the neutron star is mov fastest near periastron, it will take a smaller fraction o 1 This suggests that the superorbital variability 280 is related to periodic changes in the b 0.8mass-loss rate of the Be star and/or variations in the circumstellar disk. 0.6 The superorbital variability in the microquasar scenario has also been explained using 0.4 a precessing jet (see Massi & Torricelli-Ciamponi 2014 and references therein). 0.2 0 mjy X. Paredes-Fortuny (UB) Introduction 6 / 19

Description of LS I +61 303 III Figure 2 : Orbit of the compact object (black ellipse) around the massive star LS I +61 303 (black filled circle). Small circles are plotted every 0.1 orbital phases. From Moldón (2012). X. Paredes-Fortuny (UB) Introduction 7 / 19

Description of LS I +61 303 III Figure 2 : Orbit of the compact object (black ellipse) around the massive star LS I +61 303 (black filled circle). Small circles are plotted every 0.1 orbital phases. From Moldón (2012). X. Paredes-Fortuny (UB) Introduction 7 / 19

Description of LS I +61 303 III Figure 2 : Orbit of the compact object (black ellipse) around the massive star LS I +61 303 (black filled circle). Small circles are plotted every 0.1 orbital phases. From Moldón (2012). X. Paredes-Fortuny (UB) Introduction 7 / 19

Description of LS I +61 303 III Figure 2 : Orbit of the compact object (black ellipse) around the massive star LS I +61 303 (black filled circle). Small circles are plotted every 0.1 orbital phases. From Moldón (2012). X. Paredes-Fortuny (UB) Introduction 7 / 19

Outline 1. Introduction 2. Optical photometric monitoring 3. Optical spectroscopic data 4. Results 5. Discussion X. Paredes-Fortuny (UB) Optical photometric monitoring 7 / 19

Observations with TFRM I Telescope Fabra ROA Montsec (TFRM) The optical photometic observations of this project are currently made with the robotic telescope TFRM, installed at the Observatori Astrono mic del Montsec (Lleida, Spain) (Fors et al. 2013)1. Corrector plate of 0.5 m aperture and 0.78 m primary mirror. Refurbished Baker-Nunn Camera. Focal ratio f/0.96. 4.4 4.4 field of view with a pixel scale of 3.900 /pixel. Passband filter λ > 475 nm. The QE of the CCD is 60% at 550 nm. 1 We want to thank all the TFRM team for preparing and carrying out the optical observations. X. Paredes-Fortuny (UB) Optical photometric monitoring 8 / 19

Observations with TFRM II We report data between July 2012 and March 2015 (2.6 yr), in 19 different orbital cycles. The exposure time ranges from 5.0 to 8.0 s (V 10.8). LS I +61 303 has been observed around 20 times per night. Observed in good atmospheric conditions for a total of 101 nights ( 2400 science images + calibration images!). We have used 10 reference stars (optical photometric calibration), obtaining a photometric precision of 7 mmag at 1 σ confidence level. X. Paredes-Fortuny (UB) Optical photometric monitoring 9 / 19

Reduction and analysis I We have developed a pipeline written in Python to reduce and analyze the data through differential photometry. The main steps are: image calibration, quality control, astrometric reduction and photometric extraction for all the stars in the image. X. Paredes-Fortuny (UB) Optical photometric monitoring 10 / 19

Reduction and analysis II We have used the following algorithm to correct the lightcurves: 1 For each image (i) and star (j), we compute its magnitude difference with respect to the first image: m i,j = m i,j m 1,j 2 We perform a weighted (w j = 1/σ 2 j ) average of m i,j using all the stars, obtaining: m i (image correction) 3 We correct the non-corrected photometry for each image (i) using m i 4 We compute the new σ j using the corrected photometry 5 We select the 10 reference stars with lowest σ (at angular distance < 0.4 with respect to LS I +61 303). We iterate until the selected stars do not change 6 We assign to the mean magnitude the value of 10.7 We compute nightly averages with the photometry of individual images for each night. The uncertainty is obtained with the standard deviation of the photometry of the individual images for each night. X. Paredes-Fortuny (UB) Optical photometric monitoring 11 / 19

Outline 1. Introduction 2. Optical photometric monitoring 3. Optical spectroscopic data 4. Results 5. Discussion X. Paredes-Fortuny (UB) Optical spectroscopic data 11 / 19

Data from Liverpool Telescope Liverpool Telescope We also considered contemporaneous EW Hα data obtained using the FRODOspec spectrograph on the robotic 2.0 m Liverpool telescope at the Observatorio del Roque de Los Muchachos (La Palma, Spain). LS I +61 303 has been observed with one 600 s exposure per night. The data span from July 2012 to December 2014 (2.4 yr), in 17 different orbital cycles. Observed in good atmospheric conditions for a total of 136 nights. The EW Hα precision is of 1 Å (individual EW Hα uncertanties are assumed at 10% level). The data have been obatained and reduced as in Casares et al. (2012) X. Paredes-Fortuny (UB) Optical spectroscopic data 12 / 19

Outline 1. Introduction 2. Optical photometric monitoring 3. Optical spectroscopic data 4. Results 5. Discussion X. Paredes-Fortuny (UB) Results 12 / 19

Results I Results of the Optical photometry and EW Hα spectroscopy: LS I +61 303 has been observed in 3 different observational campaigns centered at autumn of 2012, 2013 and 2014. Hereafter Seasons 1, 2 and 3, respectively. Results on Seasons 1 and 2 have already been published in Paredes-Fortuny et al. (2015). Results on Season 3 are presented here for the first time. m (mag) 10.62 10.64 10.66 10.68 10.70 10.72 10.74 10.76 56200 56400 56600 56800 57000 MJD EWHα (Å) 16 14 12 10 8 56200 56400 56600 56800 57000 MJD X. Paredes-Fortuny (UB) Results 13 / 19

Results I Results of the Optical photometry and EW Hα spectroscopy: LS I +61 303 has been observed in 3 different observational campaigns centered at autumn of 2012, 2013 and 2014. Hereafter Seasons 1, 2 and 3, respectively. Results on Seasons 1 and 2 have already been published in Paredes-Fortuny et al. (2015). Results on Season 3 are presented here for the first time. m (mag) 10.62 10.64 10.66 10.68 10.70 10.72 10.74 10.76 56200 56400 56600 56800 57000 MJD EWHα (Å) 16 14 12 10 8 56200 56400 56600 56800 57000 MJD X. Paredes-Fortuny (UB) Results 13 / 19

Results I Results of the Optical photometry and EW Hα spectroscopy: LS I +61 303 has been observed in 3 different observational campaigns centered at autumn of 2012, 2013 and 2014. Hereafter Seasons 1, 2 and 3, respectively. Results on Seasons 1 and 2 have already been published in Paredes-Fortuny et al. (2015). Results on Season 3 are presented here for the first time. m (mag) 10.62 10.64 10.66 10.68 10.70 10.72 10.74 10.76 56200 56400 56600 56800 57000 MJD EWHα (Å) 16 14 12 10 8 56200 56400 56600 56800 57000 MJD X. Paredes-Fortuny (UB) Results 13 / 19

Results II The photometry shows a broad maximum just after apastron. The EW Hα spectrocopy shows a broad maximum just before apastron. The lightcurves exhibit a large scatter. From Moldón (2012) m (mag) 10.62 10.64 10.66 10.68 10.70 10.72 10.74 10.76 0.0 0.5 1.0 1.5 2.0 φ apa PHASE EWHα (Å) 16 14 12 10 8 0.0 0.5 1.0 1.5 2.0 φ apa PHASE X. Paredes-Fortuny (UB) Results 14 / 19

Results III m (mag) 10.62 10.64 10.66 10.68 10.70 10.72 10.74 10.76 56200 56400 56600 56800 57000 MJD EWHα (Å) 16 14 12 10 8 56200 56400 56600 56800 57000 MJD m (mag) 10.62 10.64 10.66 10.68 10.70 10.72 10.74 10.76 0.0 0.5 1.0 1.5 2.0 ORBITAL PHASE (P = 26.4960 d, JD 0 = 2, 443, 366.775) EWHα (Å) 16 14 12 10 8 0.0 0.5 1.0 1.5 2.0 ORBITAL PHASE (P = 26.4960 d, JD 0 = 2, 443, 366.775) X. Paredes-Fortuny (UB) Results 15 / 19

Results III m (mag) 10.62 10.64 10.66 10.68 10.70 10.72 10.74 10.76 56200 56400 56600 56800 57000 MJD EWHα (Å) 16 14 12 10 8 56200 56400 56600 56800 57000 MJD m (mag) 10.62 10.64 10.66 10.68 10.70 10.72 10.74 10.76 0.0 0.5 1.0 1.5 2.0 ORBITAL PHASE (P = 26.4960 d, JD 0 = 2, 443, 366.775) EWHα (Å) 16 14 12 10 8 0.0 0.5 1.0 1.5 2.0 ORBITAL PHASE (P = 26.4960 d, JD 0 = 2, 443, 366.775) X. Paredes-Fortuny (UB) Results 15 / 19

Results III m (mag) 10.62 10.64 10.66 10.68 10.70 10.72 10.74 10.76 56200 56400 56600 56800 57000 MJD EWHα (Å) 16 14 12 10 8 56200 56400 56600 56800 57000 MJD m (mag) 10.62 10.64 10.66 10.68 10.70 10.72 10.74 10.76 0.0 0.5 1.0 1.5 2.0 ORBITAL PHASE (P = 26.4960 d, JD 0 = 2, 443, 366.775) EWHα (Å) 16 14 12 10 8 gap! 0.0 0.5 1.0 1.5 2.0 ORBITAL PHASE (P = 26.4960 d, JD 0 = 2, 443, 366.775) X. Paredes-Fortuny (UB) Results 15 / 19

Results IV m = Acos(2π[φ φ 0])+C Season 1: A = 0.029±0.003 mag, φ 0 = 0.69±0.02, C = 10.704±0.002 mag Season 2: A = 0.021±0.003 mag, φ 0 = 0.85±0.02, C = 10.698±0.002 mag Season 3: A = 0.029±0.003 mag, φ 0 = 0.97±0.02, C = 10.698±0.002 mag EW Hα =Acos(2π[φ φ 0 ])+C Season 1: A = 1.4±0.2 A, φ 0 = 0.54±0.02, C = 11.2±0.1 A Season 2: A = 1.3±0.2 A, φ 0 = 0.76±0.03, C = 13.0±0.2 A Season 3: A = 0.3±0.1 A, φ 0 = 0.62±0.10, C = 11.4±0.1 A m (mag) 10.62 10.64 10.66 10.68 10.70 10.72 10.74 10.76 0.0 0.5 1.0 1.5 2.0 ORBITAL PHASE (P = 26.4960 d, JD 0 = 2, 443, 366.775) EWHα (Å) 16 14 12 10 8 0.0 0.5 1.0 1.5 2.0 ORBITAL PHASE (P = 26.4960 d, JD 0 = 2, 443, 366.775) X. Paredes-Fortuny (UB) Results 16 / 19

Results IV m = Acos(2π[φ φ 0])+C Season 1: A = 0.029±0.003 mag, φ 0 = 0.69±0.02, C = 10.704±0.002 mag Season 2: A = 0.021±0.003 mag, φ 0 = 0.85±0.02, C = 10.698±0.002 mag Season 3: A = 0.029±0.003 mag, φ 0 = 0.97±0.02, C = 10.698±0.002 mag EW Hα =Acos(2π[φ φ 0 ])+C Season 1: A = 1.4±0.2 A, φ 0 = 0.54±0.02, C = 11.2±0.1 A Season 2: A = 1.3±0.2 A, φ 0 = 0.76±0.03, C = 13.0±0.2 A Season 3: A = 0.3±0.1 A, φ 0 = 0.62±0.10, C = 11.4±0.1 A m (mag) 10.62 10.64 10.66 10.68 10.70 10.72 10.74 10.76 0.0 0.5 1.0 1.5 2.0 ORBITAL PHASE (P = 26.4960 d, JD 0 = 2, 443, 366.775) EWHα (Å) 16 14 12 10 8 0.0 0.5 1.0 1.5 2.0 ORBITAL PHASE (P = 26.4960 d, JD 0 = 2, 443, 366.775) X. Paredes-Fortuny (UB) Results 16 / 19

Results IV m = Acos(2π[φ φ 0])+C Season 1: A = 0.029±0.003 mag, φ 0 = 0.69±0.02, C = 10.704±0.002 mag Season 2: A = 0.021±0.003 mag, φ 0 = 0.85±0.02, C = 10.698±0.002 mag Season 3: A = 0.029±0.003 mag, φ 0 = 0.97±0.02, C = 10.698±0.002 mag EW Hα =Acos(2π[φ2 [ φ 0 ])+C Season 1: A = 1.4±0.2 A, φ 0 = 0.54±0.02, C = 11.2±0.1 A Season 2: A = 1.3±0.2 A, φ 0 = 0.76±0.03, C = 13.0±0.2 A Season 3: A = 0.3±0.1 A, φ 0 = 0.62±0.10, C = 11.4±0.1 A m (mag) 10.62 10.64 10.66 10.68 10.70 10.72 10.74 10.76 0.0 0.5 1.0 1.5 2.0 ORBITAL PHASE (P = 26.4960 d, JD 0 = 2, 443, 366.775) EWHα (Å) 16 14 12 10 8 0.0 0.5 1.0 1.5 2.0 ORBITAL PHASE (P = 26.4960 d, JD 0 = 2, 443, 366.775) X. Paredes-Fortuny (UB) Results 16 / 19

Results V ORBITAL PHASE (P=26.4960 d, JD0=2443366.775) 1.2 1.0 0.8 0.6 0.4 0.2 MJD 56100 56300 56500 56700 56900 57100 Optical Radio EW Hα X-rays 0.0 7.6 7.7 7.8 7.9 8.0 8.1 8.2 8.3 SUPERORBITAL CYCLE (P SO =1667 d, JD 0 =2443366.775) m (mag) 10.63 10.65 10.66 10.68 10.69 10.71 10.72 10.74 10.75 ORBITAL PHASE (P=26.4960 d, JD0=2443366.775) 1.2 1.0 0.8 0.6 0.4 0.2 MJD 56100 56300 56500 56700 56900 57100 Optical Radio EW Hα X-rays 0.0 7.6 7.7 7.8 7.9 8.0 8.1 8.2 8.3 SUPERORBITAL CYCLE (P SO =1667 d, JD 0 =2443366.775) EW Hα (Å) 15.00 14.00 13.00 12.00 11.00 10.00 9.00 8.00 The red and blue crosses correspond to the phases of the maxima of the sinusoidal fits to the orbital variability of the Optical and EW Hα, respectively. The color lines represent the orbital phase drift of the emission peaks caused by the superorbital variability for the Optical, EW Hα, Radio, and X-rays. The Radio and X-ray drifts are taken from Fig. 3 of Chernyakova et al. (2012) using data of the previous superorbital cycle. X. Paredes-Fortuny (UB) Results 17 / 19

Outline 1. Introduction 2. Optical photometric monitoring 3. Optical spectroscopic data 4. Results 5. Discussion X. Paredes-Fortuny (UB) Discussion 17 / 19

Discussion I Orbital variability: The circumstellar disk is likely to be perturbed by tidal forces and the putative pulsar wind ram pressure. After periastron passage at φ per = 0.23: 1 There is first a maximum in X-rays (tracer of nonthermal emission) 2 Followed by a maximum in EW Hα (tracer of the outer disk conditions) and in Radio emission (produced mainly outside the binary system) 3 Finally a maximum in the Optical flux is observed (variability from inner circumstellar disk) ORBITAL PHASE (P=26.4960 d, JD0=2443366.775) 1.2 1.0 0.8 0.6 0.4 0.2 MJD 56100 56300 56500 56700 56900 57100 Optical Radio EW Hα X-rays 0.0 7.6 7.7 7.8 7.9 8.0 8.1 8.2 8.3 SUPERORBITAL CYCLE (P SO=1667 d, JD 0=2443366.775) m (mag) 10.63 Optical flux shows 0.06 mag modulation (in 1st season), or 6% in total flux. The Be disk represents the 35% of the flux (Casares et al. 2005). Variability is 16% in disk flux EW Hα shows 25% variability (1st season): external parts of the disk are more perturbed There is a 0.1 phase lag between the Optical and EW Hα: the external parts are perturbed (and recover) before the internal parts X. Paredes-Fortuny (UB) Discussion 18 / 19 10.65 10.66 10.68 10.69 10.71 10.72 10.74 10.75

Discussion II Superorbital variability: EW Hα superorbital variability is associated with periodic changes on the Be star (e.g., Zamanov et al. 1999) This secular evolution could be linked to the presence of a moving one-armed spiral density wave in the disk (Negueruela et al. 1998) We detect an orbital phase drift in the optical as that seen in Radio and X-rays. Empirical coupling between the thermal (optical) and nonthermal (X-ray and radio) emission Future work: Continue the observations of LS I +61 303. Build a toy model (precessing disk or densit wave) to explain the thermal behaviour. X. Paredes-Fortuny (UB) Discussion 19 / 19