- #1

patric44

- 300

- 39

- Homework Statement
- How the nuclear quadruple moment describe the deformation of the nucleus?

- Relevant Equations
- Q =1/e∫∫∫(3z^2-r^2)dV

hi guys

I have read the other day about how the nuclear quadruple moment descries the deformation of the nucleus, however i can't get my head around how is that!, I am familiar with the multiple expansion in which we can describe the potential of an arbitrary charge distribution by the following expansion

$$

\Phi(r') = \frac{1}{4\pi\epsilon_{o}}\sum_{n=0}^{\inf}\frac{1}{r^{n+1}}\int_{v}(r')^{n}P_{n}(cos\theta)\rho(r')dV

$$

and this potential is then expanded as multiple terms : monopole,dipole,quadrupole..., Now how the quadrupole term in this expansion describes a deformation in the shape of the nucleus? and : isn't quadrupole means "generaly speaking" 4 charges two of them are negative and the other is positive, arranged in a specific way, how could such term describes the only positively charged neucles?

I have many questions surrounding this point, can anyone clarify them or suggest a specific book or a set of lecture notes that would help.

thanks in advance.

I have read the other day about how the nuclear quadruple moment descries the deformation of the nucleus, however i can't get my head around how is that!, I am familiar with the multiple expansion in which we can describe the potential of an arbitrary charge distribution by the following expansion

$$

\Phi(r') = \frac{1}{4\pi\epsilon_{o}}\sum_{n=0}^{\inf}\frac{1}{r^{n+1}}\int_{v}(r')^{n}P_{n}(cos\theta)\rho(r')dV

$$

and this potential is then expanded as multiple terms : monopole,dipole,quadrupole..., Now how the quadrupole term in this expansion describes a deformation in the shape of the nucleus? and : isn't quadrupole means "generaly speaking" 4 charges two of them are negative and the other is positive, arranged in a specific way, how could such term describes the only positively charged neucles?

I have many questions surrounding this point, can anyone clarify them or suggest a specific book or a set of lecture notes that would help.

thanks in advance.