Orbital M1 versus E2 strength in deformed nuclei: A new energy weighted sum rule

Details Orbital M1 versus E2 strength in deformed nuclei: A new energy weighted sum rule Orbital M1 versus E2 strength in deformed nuclei: A new energy weighted sum rule

1993-03-16

arxiv.org/abs/nucl-th/9303011v1

Phys.Rev.C47:2604-2609,1993

Physics

Nuclear Physics

Nuclear Theory

REVTEX (3.0), 9 pages, RU9241

Scientific paper

10.1103/PhysRevC.47.2604

Within the unified model of Bohr and Mottelson we derive the following linear energy weighted sum rule for low energy orbital 1$^+$ excitations in even-even deformed nuclei $$S_{\rm LE}^{\rm lew} (M_1^{\rm orb}) \cong (6/5) \epsilon (B(E2; 0^+_1 \rightarrow 2_1^+ K=0)/Z e^2^2) \mu^2_N$$ with B(E2) the E2 strength for the transition from the ground state to the first excited state in the ground state rotational band, $$ the charge r.m.s. radius squared and $\epsilon$ the binding energy per nucleon in the nuclear ground state. It is shown that this energy weighted sum rule is in good agreement with available experimental data. The sum rule is derived using a simple ansatz for the intrinsic ground state wave function that predicts also high energy 1$^+$ strength at 2$\hbar \omega$ carrying 50\% of the total $m_1$ moment of the orbital M1 operator.

Affiliated with

Also associated with

No associations

Rating

Orbital M1 versus E2 strength in deformed nuclei: A new energy weighted sum rule 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 Orbital M1 versus E2 strength in deformed nuclei: A new energy weighted sum rule, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Orbital M1 versus E2 strength in deformed nuclei: A new energy weighted sum rule will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-560768