dorsal/arxiv
View SchemaCharge-independent trend of isoscalar matrix elements along the $N \sim Z$ line
| Authors | J. N. Orce, V. Velazquez |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0603030 |
| URL | https://arxiv.org/abs/nucl-th/0603030 |
| DOI | 10.1016/j.nuclphysa.2005.09.023 |
| Journal | Nucl.Phys. A764 (2006) 205-211 |
Abstract
Shell model calculations have been carried out using the m-scheme numerical code {\small ANTOINE} in order to elucidate the particular trend of the isoscalar matrix elements, $M_0$, for $A=4n+2$ isobaric triplets ranging from A=18 to A=42. The 2${_1^+}_{(T=1)}$ $\to$ 0${_1^+}_{(T=1)}$ transition energies, reduced transition probabilities and isoscalar matrix elements are predicted to a high degree of accuracy. The general agreement of $M_0$ between those from mirror pairs and those from $T_Z=0$ nuclides support our shell model calculations. The predicted results tie together recent experimental data, and the trend of $M_0$ strength along the $sd$ and beginning of the $fp$ shells is interpreted in terms of the dynamic shell structure. Certain discrepancies arise at A=18 and A=38 isobaric triplets, which might be explained in terms of core polarization effects and the low occupancy of the orbits at the extremes of the $sd$ shell.
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"abstract": "Shell model calculations have been carried out using the m-scheme numerical\ncode {\\small ANTOINE} in order to elucidate the particular trend of the\nisoscalar matrix elements, $M_0$, for $A=4n+2$ isobaric triplets ranging from\nA=18 to A=42. The 2${_1^+}_{(T=1)}$ $\\to$ 0${_1^+}_{(T=1)}$ transition\nenergies, reduced transition probabilities and isoscalar matrix elements are\npredicted to a high degree of accuracy. The general agreement of $M_0$ between\nthose from mirror pairs and those from $T_Z=0$ nuclides support our shell model\ncalculations. The predicted results tie together recent experimental data, and\nthe trend of $M_0$ strength along the $sd$ and beginning of the $fp$ shells is\ninterpreted in terms of the dynamic shell structure. Certain discrepancies\narise at A=18 and A=38 isobaric triplets, which might be explained in terms of\ncore polarization effects and the low occupancy of the orbits at the extremes\nof the $sd$ shell.",
"arxiv_id": "nucl-th/0603030",
"authors": [
"J. N. Orce",
"V. Velazquez"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/j.nuclphysa.2005.09.023",
"journal_ref": "Nucl.Phys. A764 (2006) 205-211",
"title": "Charge-independent trend of isoscalar matrix elements along the $N \\sim Z$ line",
"url": "https://arxiv.org/abs/nucl-th/0603030"
},
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