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Pulsar B1237+25 at 111~MHz: average profile, mode switching, nullings, microstructure

M. V. Popov, T. V. Smirnova

TL;DR

This study analyzes PSR B1237+25 at 111 MHz with high time resolution to elucidate its emission geometry and mode-switching behavior. Using dispersion-corrected data and Gaussian decomposition of the mean profile, it identifies two central X-mode components and a single O-mode cone for the outer/inner components, with emission heights of $R_{X}\approx80~\mathrm{km}$ and $R_{out}\approx370~\mathrm{km}$. A newly detected narrow central component and submicrosecond microstructure ($τ_μ\le0.5~μs$) support a polar-gap spark model, yielding a vacuum gap height $h_p\le750~\mathrm{cm}$ and a Lorentz factor bound $\gamma\ge260$. The analysis shows mode-dependent drift and nulling patterns, with $P_3=2.7P_1$ drift visible only in the QN, and an AB mode representing a reorganized activity-zone configuration; the observed radius-frequency scaling follows a power law with exponent $α\approx-0.16$ for both cones, consistent with hollow-cone O-mode dynamics. Overall, the results reinforce a two-cone plus core geometry with distinct O-mode and X-mode emission, offer emission-height estimates at low frequency, and demonstrate broadband nulling and mode-switching behavior tied to polar-cap discharge processes.

Abstract

The observations of B1237+25 at a frequency of 111 MHz were analyzed. For the first time in the normal radiation mode a new component in the central region in the average profile was detected. This component is manifested in all modes of pulsar emission: quiet-normal (QN), flare-normal (FN) and in the abnormal mode (AB). The subpulse drift is observed in the QN mode only in the first and last components of the average profile. The normal mode is interrupted by nullings and transitions into the abnormal AB mode. In the AB mode, the structure at the edge of the outer cone is destroyed, the distance between the inner and outer cones is almost doubled, and the distance between the inner cone and the central region is reduced.Analysis of our data has shown that the components of the outer and inner cones of the average profile are formed by an ordinary mode of radio emission (O-mode) and form a single cone radiation of the pulsar. The central components of the average profile (wide and narrow) are formed by an extraordinary mode (X-mode). Estimates of the height of the radiation output from the central region (X-mode) and the cone radiation (O-mode) are obtained: 80~km and 370~km, respectively. A microstructure with a time scale of $τ_μ\le0.5$~$μs$ has been detected. This time scale corresponds well to the time of the development of a spark discharge in the polar cap. For this value $τ_μ$, the height of the vacuum gap should be $h_p\le750$~cm. Based on the steepness of the individual pulse's trailing edge at the longitude of the first component, a limit was obtained on the value of the $γ$ factor of the relativistic secondary plasma: $γ\ge$260. The dependence of the distance between the components of the outer and inner cone of radiation on the frequency is the same and corresponds to a power law with an exponent of -0.16.

Pulsar B1237+25 at 111~MHz: average profile, mode switching, nullings, microstructure

TL;DR

This study analyzes PSR B1237+25 at 111 MHz with high time resolution to elucidate its emission geometry and mode-switching behavior. Using dispersion-corrected data and Gaussian decomposition of the mean profile, it identifies two central X-mode components and a single O-mode cone for the outer/inner components, with emission heights of and . A newly detected narrow central component and submicrosecond microstructure () support a polar-gap spark model, yielding a vacuum gap height and a Lorentz factor bound . The analysis shows mode-dependent drift and nulling patterns, with drift visible only in the QN, and an AB mode representing a reorganized activity-zone configuration; the observed radius-frequency scaling follows a power law with exponent for both cones, consistent with hollow-cone O-mode dynamics. Overall, the results reinforce a two-cone plus core geometry with distinct O-mode and X-mode emission, offer emission-height estimates at low frequency, and demonstrate broadband nulling and mode-switching behavior tied to polar-cap discharge processes.

Abstract

The observations of B1237+25 at a frequency of 111 MHz were analyzed. For the first time in the normal radiation mode a new component in the central region in the average profile was detected. This component is manifested in all modes of pulsar emission: quiet-normal (QN), flare-normal (FN) and in the abnormal mode (AB). The subpulse drift is observed in the QN mode only in the first and last components of the average profile. The normal mode is interrupted by nullings and transitions into the abnormal AB mode. In the AB mode, the structure at the edge of the outer cone is destroyed, the distance between the inner and outer cones is almost doubled, and the distance between the inner cone and the central region is reduced.Analysis of our data has shown that the components of the outer and inner cones of the average profile are formed by an ordinary mode of radio emission (O-mode) and form a single cone radiation of the pulsar. The central components of the average profile (wide and narrow) are formed by an extraordinary mode (X-mode). Estimates of the height of the radiation output from the central region (X-mode) and the cone radiation (O-mode) are obtained: 80~km and 370~km, respectively. A microstructure with a time scale of ~ has been detected. This time scale corresponds well to the time of the development of a spark discharge in the polar cap. For this value , the height of the vacuum gap should be ~cm. Based on the steepness of the individual pulse's trailing edge at the longitude of the first component, a limit was obtained on the value of the factor of the relativistic secondary plasma: 260. The dependence of the distance between the components of the outer and inner cone of radiation on the frequency is the same and corresponds to a power law with an exponent of -0.16.

Paper Structure

This paper contains 10 sections, 2 equations, 12 figures, 1 table.

Figures (12)

  • Figure 1: The average profile for all pulses (top figure), the number of averaged pulses N=10902; the average profile for the normal flare mode NF: N=2432 (second figure); the average profile for the normal quiet mode NQ: N=3040 (third), and profile for the anomalous mode AB: N=912 pulses (bottom)
  • Figure 2: Figure 2. The total profile for 25.02.24 in the normal mode (QN), increased by 5 times, S/N = 371. The squares show the distribution of the maxima of individual pulses along the longitude. x–axis is the longitude in ms, y–axis is the amplitude in relative units.
  • Figure 3: The total profile for 02.03.24 in the normal mode (FN), increased by 5 times, S/N = 66.2. The squares show the distribution of individual pulse maxima over longitude. The designation along the axes is the same as in Fig. 2.
  • Figure 4: The total profile for 01.01.24 in the abnormal mode (AB), increased by 5 times, S/N = 141. The squares show the distribution of the maxima of individual pulses along the longitude. The designation along the axes is the same as in Fig. 2.
  • Figure 5: Accumulated profiles of pulses in a limited range of amplitudes: a) the average profile for the session on 25.02.24; b) the accumulated profile of 94 pulses with amplitudes ranging from 3$\sigma_N$ to 30$\sigma_N$; c) the accumulated profile of 61 pulses with amplitudes ranging from 3$\sigma_N$ to 15$\sigma_N$. The designation along the axes is the same as in Fig. 2.
  • ...and 7 more figures