arXiv subjects

Matthew Harper

Publications and source records attributed to Matthew Harper.

20 records · Page 2Linked to original sources

arXiv2015

Consequences of omitting spin-orbit partner configurations on B(E2)'s and quadrupole moments in nuclei

Calculations of B(E2)'s and quadruplole moments in the g_{9/2 region below ^{100} Sn are hampered by the fact that the inclusion of the g_{7/2}configuration leads to model spaces that are too large to handle. We therefore examine lighter nuclei if the fp region where one can easily include all the orbitals, f,{}_{7/2}, p_{3/2}, p_{1/2}and f_{5/2} . We perform such calculations but then take a step back and exclude the f_{5/2} orbital. By comparing the 2 calculations we can hope to get insight into the importance of the missing spin-orbit partner in other regions.

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arXiv2015

Wave functions of the Q.Q interaction in terms of unitary 9-j coefficients

We obtain wave functions for 2 protons and 2 neutrons in the g_{9/2} shell expressed as column vectors with amplitudes D(J_{p},J_{n}). When we use a quadrupole-quadrupole interaction (Q.Q) we get, in many cases, a very strong overlap with wave functions given by a single set of unitary 9j coefficients --U9j= ((jj)^{2j} (jj^{J_{B}} \ (jj)^{J_{p}} (jj)^{J_{n}})^{I}. Here J_{B}=9 for even I T =0 states. For both even and odd T=1 states we take JB equal to 8 whilst for odd I, T=0 we take JB to be 7. We compare the Q.Q results with those of a more realistic interaction.

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