The Sun does not have any scientific name like the names of plants and animals but among the billions of stars, it does fall in a particular category: Stars are classified based on their temperature and their size. Based on their temperature, they are classified into O, B, A, F, G, K and M stars with the O stars being the hottest with temperatures of about 50,000 K and the M stars being the coolest with temperatures of about 3000 K. Each group is subdivided into 10 classes (eg. O0, O1,..., O9, B0, B1,...).
Based on the size and luminosity, the stars are classified into classes Ia, Ib, II, III, IV, and V. Type I stars are supergiant stars, II means giant stars, etc. Finally class V are stars called main-sequence stars which are "normal" stars (that fuse hydrogen in their cores).
Based on this notation, our Sun is a star of spectral class G2 and luminosity class V (main sequence). So, when we can say "scientifically" that the Sun is a G2V star.
With that said I have heard it called "Sol"
Bob
R.A.C. Advisory Committee
NEAIC Co-Chairman
NEAF Advisory Committee
http://www.deer-pond-observatory.com
Warwick, New York
41.15984 -74.2541
[B]Takahashi MT 160 10" F4.5 Newt 8O
R200SS
Some kind of 127mm APO
Orion Atlas EQ-G
Losmandy G11 with Gemini
iOptron Mimi Tower
iOptrom Cube Pro
Meade DSI PRO II 8O
SBIG ST-10ME Image Source 21AU04.AS