Relations Involving Static Quadrupole Moments of $2^+$ states and B(E2)'s

Details Relations Involving Static Quadrupole Moments of $2^+$ states and B(E2)'s Relations Involving Static Quadrupole Moments of $2^+$ states and B(E2)'s

2008-07-29

arxiv.org/abs/0807.4679v2

Physics

Nuclear Physics

Nuclear Theory

Scientific paper

We define the ``quadrupole ratio'' $r_Q = \dfrac{Q_0(S)}{Q_0(B)}$ where $Q_0(S)$ is the intrinsic quadrupole moment obtained from the static quadrupole moment of the $2_1^+$ state of an even-even nucleus and $Q_0(B)$ the intrinsic quadrupole moment obtained from $B(E2)_{0 \to 2}$. In both cases we assume a simple rotational formula connecting the rotating frame to the laboratory frame. The quantity $r_Q$ would be one if the rotational model were perfect and the energy ratio $E(4)/E(2)$ would be 10/3. In the simple vibrational model, $r_Q$ would be zero and $E(4)/E(2)$ would be two. There are some regions where the rotational limit is almost met and fewer where the vibrational limit is also almost met. For most cases, however, it is between these two limits, i.e. $0 < r_Q < 1$. There are a few cases where $r_Q$ is bigger than one, especially for light nuclei.

Affiliated with

Also associated with

No associations

Rating

Relations Involving Static Quadrupole Moments of $2^+$ states and B(E2)'s 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 Relations Involving Static Quadrupole Moments of $2^+$ states and B(E2)'s, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relations Involving Static Quadrupole Moments of $2^+$ states and B(E2)'s will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-38927