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Improving the predictive power of empirical shell-model Hamiltonians

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arxiv 2412.09917 v2 pith:LIJBQ2IZ submitted 2024-12-13 nucl-th

Improving the predictive power of empirical shell-model Hamiltonians

classification nucl-th
keywords hamiltoniansdatadevelopmentsempiricalpowerpredictiveshell-modeladdition
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present two developments which enhance the predictive power of empirical shell-model Hamiltonians for cases in which calibration data are sparse. A recent improvement in the ab initio derivation of effective Hamiltonians leads to a much better starting point for the optimization procedure. In addition, we introduce a protocol to avoid overfitting, enabling a more reliable extrapolation beyond available data. These developments will enable more robust predictions for exotic isotopes produced at rare isotope beam facilities and in astrophysical environments.

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    A unified workflow maps realistic nuclear Hamiltonians to qubit operators and benchmarks three quantum eigenvalue algorithms, finding T-gate counts of 10^10–10^14 for valence-space QPE at hundreds of qubits.