Write the Bethe-Weiszacker mass formula. Explain the various terms involved in it. Draw curves, between binding energy per nucleon versus mass number, which represents contribution of various terms in the semi-empirical mass formula of binding energy per nucleon.

c) (i) The experimentally observed magnetic dipole moment of deuteron is

On the basis of observed dipole moment, what are the possible

spin configurations in which neutron and proton can exist in deuteron

(ii) Justify the possible reasons for the deviation in the observed and expected

value of magnetic dipole moment of deuteron.

Given:

Consider a square well potentialObtain wavefunction of deuteron within the range of potential and outside.

Using the effective range formula, evaluate the total n-p scattering cross-section for a neutron interacting with a free proton in a laboratory at 10MeV.

Given: scattering lengths:

Effective range:

List the quantum numbers for the antiquark  State the

quark content for and p.

List the quantum numbers associated with leptons. State whether they are conserved in strong, weak and electromagnetic interactions. Hence explain whether the following reactions are allowed

: 

b) Show thats  a weak interaction decay whereas

electromagnetic decay.

On the basis of semi-empirical mass formula, explain as why there are two mass parabola for even-A nuclei and only one for A-odd nuclei.

Explain tensor potential which justifies the non – zero quadrupole moment of deuteron.