Question

2. [7 marks] (a) Use the semi-empirical binding energy formula (above) and B to obtain the semi-empirical Zm, + Nm, mass formula (SEMF). [Assume A is odd so that the pairing term is zero.] (b) Mirror nuclei are nuclei with the same mass number A and interchanged values of N and Z, e.g. IN-Z] 1. Which terms in the above formula give rise to differences in atomic mass between a pair of mirror nuclei? (c) Calculate the predicted atomic mass difference between 11C and 1B in units of MeV/c2. From this information and any general considerations, what can you deduce about the possible decay modes for these two nuclei?

Answer 1

emiempentcal maid ghuen by M lz,A) -Zmp + CA-2) W z2 mn-awAt asA3 +a 2 + an. (A-2 2) A ne toree netween di HerentHateto e between doas mu eeons urons and protons. comsequenihy d nucear and 16 bowne Nueleus dithorevee lbettaeen too nuees Hener tne due +0 dHfenence bttween bmoton mass and Neuhron thats is 2) MI(2,A) 2 p +@ M C2A) (A-2 mp Zmn A- 2- n A (2-ng mp- (2-n)mn =Q-wa-mans as 2-m-L 09 30, Atomle mars dittenemae tom gren 1.00728-1.00 867 0.00139x 931. 5 Mev 2 .29 MN