dorsal/arxiv
View SchemaShell-model test of the rotational-model relation between static quadrupole moments Q(2^+_1), B(E2)'s, and orbital M1 transitions
| Authors | S. J. Q. Robinson, L. Zamick, A. Escuderos, R. W. Fearick, P. von Neumann-Cosel, A. Richter |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0506059 |
| URL | https://arxiv.org/abs/nucl-th/0506059 |
| DOI | 10.1103/PhysRevC.73.037306 |
| Journal | Phys.Rev. C73 (2006) 037306 |
Abstract
In this work, we examine critically the relation between orbital magnetic dipole (scissors mode) strength and quadrupole deformation properties. Assuming a simple K=0 ground state band in an even-even nucleus, the quantities Q(2^+_1) (i.e., the static quadrupole moment) and B(E2)_{0_1 \to 2_1} both are described by a single parameter--the intrinsic quadrupole moment Q_0. In the shell model, we can operationally define Q_0(Static) and Q_0(BE2) and see if they are the same. Following a brief excursion to the sd shell, we perform calculations in the fp shell. The nuclei we consider ({44,46,48}Ti and {48,50}Cr) are far from being perfect rotors, but we find that the calculated ratio Q_0(Static)/Q_0(BE2) is in many cases surprisingly close to one. We also discuss the collectivity of orbital magnetic dipole transitions. We find that the large orbital B(M1) strength in {44}Ti relative to {46}Ti and {48}Ti cannot be explained by simple deformation arguments.
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"abstract": "In this work, we examine critically the relation between orbital magnetic\ndipole (scissors mode) strength and quadrupole deformation properties. Assuming\na simple K=0 ground state band in an even-even nucleus, the quantities Q(2^+_1)\n(i.e., the static quadrupole moment) and B(E2)_{0_1 \\to 2_1} both are described\nby a single parameter--the intrinsic quadrupole moment Q_0. In the shell model,\nwe can operationally define Q_0(Static) and Q_0(BE2) and see if they are the\nsame. Following a brief excursion to the sd shell, we perform calculations in\nthe fp shell. The nuclei we consider ({44,46,48}Ti and {48,50}Cr) are far from\nbeing perfect rotors, but we find that the calculated ratio\nQ_0(Static)/Q_0(BE2) is in many cases surprisingly close to one. We also\ndiscuss the collectivity of orbital magnetic dipole transitions. We find that\nthe large orbital B(M1) strength in {44}Ti relative to {46}Ti and {48}Ti cannot\nbe explained by simple deformation arguments.",
"arxiv_id": "nucl-th/0506059",
"authors": [
"S. J. Q. Robinson",
"L. Zamick",
"A. Escuderos",
"R. W. Fearick",
"P. von Neumann-Cosel",
"A. Richter"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.73.037306",
"journal_ref": "Phys.Rev. C73 (2006) 037306",
"title": "Shell-model test of the rotational-model relation between static quadrupole moments Q(2^+_1), B(E2)\u0027s, and orbital M1 transitions",
"url": "https://arxiv.org/abs/nucl-th/0506059"
},
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