Interrelationship of Isospin and Angular Momentum

Details Interrelationship of Isospin and Angular Momentum Interrelationship of Isospin and Angular Momentum

2004-02-25

arxiv.org/abs/nucl-th/0402089v4

J.Korean Phys.Soc. 47 (2005) 18-22

Physics

Nuclear Physics

Nuclear Theory

7 pages

Scientific paper

It is noted that the simple interaction in isospin variables $a (1/4 - t(i)\cdot t(j))$, in a single $j$ shell calculation, can also be written with angular momentum variables. For the configuration $(j^2) J_A$ for even $J_A$ the isospin is one; for odd $J_A$ it is zero. Hence the above interaction can also be written as $a (1 - (-1)^{J_A})/2$. For the I=0 state of an even-even Ti isotope with $n$ neutrons, the hamiltonian matrix element of this interaction is $\bra [J'J']_0 |H| [JJ]_0\ket/a = (n+1) \delta_{JJ'} - (n+1) (j^n Jj|\} j^{n+1} j) (j^n J'j|\} j^{n+1} j)$. The eigenvalues of this interaction can be found by using the isospin form of the interaction. They are $(n+1)a$ for $T = |N-Z|/2$ and zero for $T = |N-Z|/2 + 2$. One can apply this to some extent to obtain the number of pairs of nucleons with given total angular momentum $J_A$ in a given Ti isotope.

Affiliated with

Also associated with

No associations

Rating

Interrelationship of Isospin and Angular Momentum does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Interrelationship of Isospin and Angular Momentum, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Interrelationship of Isospin and Angular Momentum will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-485101