{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T20:58:13Z","timestamp":1775077093341,"version":"3.50.1"},"reference-count":77,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2024,2,15]],"date-time":"2024-02-15T00:00:00Z","timestamp":1707955200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation of China","award":["U2031110"],"award-info":[{"award-number":["U2031110"]}]},{"name":"National Natural Science Foundation of China","award":["12275279"],"award-info":[{"award-number":["12275279"]}]},{"name":"National Natural Science Foundation of China","award":["11963004"],"award-info":[{"award-number":["11963004"]}]},{"name":"National Natural Science Foundation of China","award":["ZR2020MA095"],"award-info":[{"award-number":["ZR2020MA095"]}]},{"name":"Shandong Province Natural Science Foundation","award":["U2031110"],"award-info":[{"award-number":["U2031110"]}]},{"name":"Shandong Province Natural Science Foundation","award":["12275279"],"award-info":[{"award-number":["12275279"]}]},{"name":"Shandong Province Natural Science Foundation","award":["11963004"],"award-info":[{"award-number":["11963004"]}]},{"name":"Shandong Province Natural Science Foundation","award":["ZR2020MA095"],"award-info":[{"award-number":["ZR2020MA095"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Cosmic ray (CR) spectra and anisotropy are closely related to the distribution of CR sources, making them valuable probes for studying nearby sources. There are 12 nearby sources located within 1 kpc of the solar system, and which ones are the optimal candidates? In this work, we have selected the Geminga, Monogem, Vela, Loop I, and Cygnus SNR sources as the focus of our research, aiming to identify the optimal candidate by investigating their contribution to the energy spectra and anisotropy using the Spatially Dependent Propagation (SDP) model. Additionally, the anisotropic diffusion effect of the local regular magnetic field (LRMF) on CR particles is also considered in the SDP model. Our previous work only provided 1D anisotropy along the right ascension; this current work will further present 2D anisotropy maps along the right ascension and declination. When the injection power of different nearby sources is roughly equal, the results show that the Geminga, Momogem, and Loop I SNR sources contribute significantly to the nuclear energy spectra. Under the isotropic diffusion without considering the LRMF, the 2D anisotropy maps indicate that the phase points to the nearby source below 100 TeV. We further adjust the injection power of the Monogem SNR source in accordance with the spin-down energy of the Geminga and Monogem pulsars, and find that the contribution of the corrected Monogem SNR can be disregarded. Because the Loop I SNR source is located in the direction of the Galactic Center (GC), it cannot contribute to the excess of CRs in the anti-GC direction. Under anisotorpic diffusion with the consideration of the LRMF, the 2D anisotropy maps show that only the Geminga SNR can match the anisotropy measurement, while the other sources cannot. Finally, we conclude that the Geminga SNR source is the optimal nearby source.<\/jats:p>","DOI":"10.3390\/sym16020236","type":"journal-article","created":{"date-parts":[[2024,2,15]],"date-time":"2024-02-15T05:55:59Z","timestamp":1707976559000},"page":"236","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Cosmic Ray Anisotropy and Spectra as Probes for Nearby Sources"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4427-4866","authenticated-orcid":false,"given":"Aifeng","family":"Li","sequence":"first","affiliation":[{"name":"College of Information Science and Engineering, Shandong Agricultural University, Taian 271018, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6248-4456","authenticated-orcid":false,"given":"Wei","family":"Liu","sequence":"additional","affiliation":[{"name":"Key Laboratory of Particle Astrophysics, Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China"},{"name":"University of Chinese Academy of Sciences, Beijing 100049, China"},{"name":"TIANFU Cosmic Ray Research Center, Chengdu 610000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yiqing","family":"Guo","sequence":"additional","affiliation":[{"name":"Key Laboratory of Particle Astrophysics, Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China"},{"name":"University of Chinese Academy of Sciences, Beijing 100049, China"},{"name":"TIANFU Cosmic Ray Research Center, Chengdu 610000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,2,15]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"807","DOI":"10.1126\/science.1231160","article-title":"Detection of the Characteristic Pion-Decay Signature in Supernova Remnants","volume":"339","author":"Ackermann","year":"2013","journal-title":"Science"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"70","DOI":"10.1007\/s00159-013-0070-7","article-title":"The origin of galactic cosmic rays","volume":"21","author":"Blasi","year":"2013","journal-title":"A&A Rev."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"494","DOI":"10.3103\/S1062873807040168","article-title":"Elemental energy spectra of cosmic rays from the data of the ATIC-2 experiment","volume":"71","author":"Panov","year":"2007","journal-title":"Bull. 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