Herschel/SPIRE map of the Barnard 5 dark cloud at 250 μm (orange scale and black contours) and IRAM 30 m map integrated intensity map of the A⁺-CH₃OH 3₀ − 2₀ transition at 145.103 GHz (white contours in step of 5σ, σ is equal to 50 mK km s^-1). The blue crosses depict the positions of the Class I protostar IRS1 and the methanol hotspot of B5. The green, red, and blue circles at the bottom right of the right map represent the size of the beams of the OSO 20 m, the IRAM 30 m, and the NRO 45 m telescopes at 3 mm, respectively. The two dense cores surrounding the methanol hotspot have the following properties: East 189: M = 0.5M_⊙, T_d = 12 K, R = 3.6 × 10^-2 pc, n_H = 3 × 10⁴ cm^-3, East 286: M = 0.7M_⊙, T_d = 9.9 K, R = 2.7 × 10^-2 pc, n_H = 1.2 × 10⁵ cm^-3.