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[6, nebula atce ntesronigmdu.Teoii fGeV-TeV of J1837 MAGIC origin from The rays medium. gamma surrounding ener high the of in diffusion particles the as interpreted generally are which bevdgmary ietyfo ESJ1837 HESS the from cos- explain directly to same required gamma-rays the is observed which with spectrum Secondly, production with ray rays mic matter. cosmic (proton) accelerated ambient SNR the PWN/ the of interactions nteliterature. the in h pcrlbhvo fosre am-asfo h HESS the whether from examine J1837 gamma-rays to observed of like behavior would spectral we the First, follows: as are work ossetyepanteosre MSDfo h sources the can from one SED J1837 whether EM MAGIC explore observed to the explain like consistently would we G24.7+0.6, SNR ntevcnt fPNHS J1837 HESS PWN of vicinity the in fcsi-a-luiae lu neatn ihtePWN the with J1837 interacting HESS cloud cosmic-ray-illuminated of rnsfo h W/N n urudn oeua clouds molecular surrounding and esti neu- PWN/SNR numerical and the the gamma-rays from 3, produced trinos hadronically sect. of In fluxes section. mated same the in estimated ore n usqetysuyterdtcinlikelihood observatories. neutrino detection present/upcoming their state the study the subsequently all from and fluxes sources neutrino corresponding the termine n usqetymse ftergosudrtesuyas- study the under regions J1835 the MAGIC distributions suming of gas masses The subsequently PWN/SNR. and the molecular with the interacting and PWN/SNR cloud the from gamma- fluxes the neutrino evaluating and for ray methodology the describe shall we te w ore,MGCJ1835 MAGIC sources, two other ne h icmtne,temi betvso h present the of objectives main the circumstances, the Under h lno h ae stefloig ntenx section, next the In following: the is paper the of plan The 37 − rilsi h N 2.+./PNHESS PWN G24.7+0.6/ SNR the in articles − 6 n N 2.+. a eepandb hadronic by explained be can G24.7+0.6 SNR and 069 hl ute eosrt htteobserved the that demonstrate further shall esalso htteosre gamma-rays observed the that show shall we tne ore nteglci ln nthe in plane galactic the in sources xtended 6 hudb eetdb cCb Gen-2 IceCube by detected be should 069 rytlsoe.Tesuyo e neutrino TeV of study The telescopes. -ray mary n etio rmMAGIC from neutrinos and amma-rays J1837 S t egl iiui741,India 734013, Siliguri Bengal, rth − − 6/N 2.+..W ol iet de- to like would We G24.7+0.6. 069/SNR − † 073 7 n AI J1835 MAGIC and 073 − 6 a eetderirb the by earlier detected was 069 − − 6,adMGCJ1837 MAGIC and 069, 6 sitrrtda usrwind pulsar a as interpreted is 069 − − 6 bevdi am rays gamma in observed 069 6 n MAGIC and 069 − − 7 ss a o discussed not far so is 073 7.N such No 073. wycosmic- away − 6/N 2.+. are G24.7+0.6 069/SNR − 6.We 069. − 6 ihascenario a with 069 − 7 located 073 − 6 and 069 es, gy by at d - 2 over the GeV to TeV energy range along with the observations. density of finding a cosmic ray particle at a given radius A The findings of the present work will be discussed in Sect. 4 from a PWN/SNR for an impulsive injection spectrum, after and we shall conclude finally in the same section. including the energy loss due to hadronic ??−interaction of cosmic rays in PWN/SNR, can be written as [14, 18, 19]
1 II. THE GAMMA RAYS AND NEUTRINOS PRODUCTION %( ,A,C) = exp(−( U − 1)C/g − (A/A )2) (4) ? 3/2 3 ? ? 38 5 METHODOLOGY c A38 5
where C denotes the age of the supernova explosion/PWN, The production spectrum of cosmic rays at PWN/SNR can g = = 2:f stands for represents the cosmic ray en- be represented by a power law and is given by ?? ?? ergy loss time-scale due to hadromic interaction of cos- 3= ? = −U mic rays with ambient matter of the PWN/SNR, : ∼ 0.45 ? . (1) 3 ? denotes the inelasticity of the interaction, and f?? [9] being the interaction cross-section [19]. Here, A38 5 = where U is the spectral index, is the energy of the cos- ? 2 C[exp(CX/g )− 1]/[CX/g ] is the radius of the sphere mic rays. The normalization constant is related with the ?? ?? up to which the cosmic ray particles have time to travel after supernova explosion energy via the relation [8] p B= their injection [19]. Therefore, the intensity of cosmic rays at ?,<0G 3=? a distance A from the source can be written as [10] bB= = ? 3 ? (2) ¹ 3 ? ′ ?,<8= 3=? 3=? (A, C) = %( ?,A,C) (5) where b denotes the efficiency of supernova explosion energy 3 ? 3 ? into cosmic rays, ?,<8= and ?,<0G represents the minimum and maximum energies of accelerated cosmic ray protons. where it is assumed that cosmic rays are diffusing from a point The high energy gamma-ray flux from the PWN/SNR can source. be explainedby the interactionof the shock acceleratedcosmic To explain the MAGIC collaboration observed high energy rays with the ambient matter (protons) of density = . Such gamma-rays from the source MAGIC J1835−069 and MAGIC interaction will produce gamma-rays and neutrinos after sub- J1837−073, we consider a dense molecular cloud at the center sequent decay of neutral and charged pions respectively along of this source. The cloud is continuously illuminated by run- with the other secondary particles. Here we follow Banik & away relativistic cosmic ray particles accelerated at the nearby Bhadra (2017) [8] to estimate the differential flux of high en- SNR G24.7+0.6 or the PWN HESS J1837−069. We follow ergy gamma rays reaching the Earth from the SNR G24.7+0.6. Banik & Bhadra (2017) [8] and Banik & Bhadra (2018) [10] The corresponding flux of high energy neutrinos reaching the to find out the differential flux of high energy gamma rays Earth from the direction of the SNR can be written as and neutrinos reaching the Earth from the source MAGIC 3Φ 1 J1835−069 and MAGIC J1837−073 after their production in a ( ) = & ?? ( ) (3) a 2 a a the interaction of runaway relativistic cosmic ray particles with 3a 4c3 molecular clouds. ?? where &a (a) represents the resulting neutrino emissivity Since our objective is to examine whether the observed which can be obtained by following [9, 10] and 3 denotes the gamma raysfrom MAGICJ1835−069 and MAGIC J1837−073 distance between the PWN/SNR and the Earth. are correlated with the two known high energy gamma rays After escaped away from the PWN/SNR, the accelerated SNR/PWN of nearby regions (SNR G24.7+0.6 and HESS cosmic ray protons diffuse in the interstellar medium with a J1837−069),weexcludetheleptonicoriginscenarioofgamma = ? X rays from SNR G24.7+0.6 and HESS J1837−069. The decay diffusion coefficient given by [11] 0 ( 104+ ) where 0 represents the diffusion coefficient of accelerated protons of charged pions produced in pp interactions at the molecular at 10 GeV energy (∼ 1028 cm2s−1 in our Galactic medium) cloud region will finally lead to electrons and positrons along and X indicates a constant having value between 0.3 to 0.7 with the neutrinos. The so produced electrons will give syn- [12, 13]. However, a slow diffusion has been inferred in the chrotron photons while traveling through the magnetic field of dense gaseous medium of molecular clouds [14, 15]. The the molecular cloud. However, the density of soft photons in measurement of Boron to Carbon Flux Ratio in Cosmic Rays the cloud region (synchrotron photons) will be low because of over the rigidity extent of 1.9 GV to 2.6 TV by the Alpha the weak magnetic field of the clouds. As a result, the inverse Magnetic Spectrometer (AMS-02) on the International Space Compton process is not significant in the present scenario. Station found that X is around 0.33 [16]. Becker et al. (2016) [17] have recently demonstrated that the cosmic ray budget can be likened well for a diffusion coefficient that is close A. Gas density map around SNR G24.7+0.6/PWN HESS to ∝ 0.3 by studying 21 SNRs, those are well-studied J1837−069 from radio wavelengths up to gamma-ray energies. On the other hand, if cosmic rays originated at SNRs of the galaxy, The gas distribution map of the regions, particularly in a more powerful diffusion with X = 0.5 cannot generate the the locations of SNR G24.7+0.6, PWN HESS J1837−069, observed cosmic ray energy spectrum especially at the high- MAGIC J1835−069, and MAGIC J1837−073 is studied be- energy(TeV) componentof the spectrum[17]. The probability low considering that either MAGIC J1835−069, and MAGIC 3