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Hadronic Effective Field Theory Applied to $Λ$-Hypernuclei

Jeff McIntire
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Abstract

In the present work, the approach of Furnstahl, Serot, and Tang (FST) is extended to the region of nonzero strangeness in application to single-particle states in single $Λ$-hypernuclei. To include $Λ$'s, an additional contribution to their effective lagrangian is systematically constructed within the framework of FST. The relativistic Hartree (Kohn-Sham) equations are solved numerically, and least-square fits to a series of experimental levels are preformed at various levels of truncation in the extended lagrangian. The ground-state properties of any $Λ$-hypernuclei are then predicted. In addition, ground-state $Lambda$-particle-nucleon-hole splittings are calculated where appropriate, and the apporach is calibrated against a calculation of the $s_{1/2}$-doublet splitting in the nucleus $^{32}_{15}P_{17}$.

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Jeff McIntire. 2004-08-19. Hadronic Effective Field Theory Applied to $Λ$-Hypernuclei. https://arxiv.org/abs/nucl-th/0311047

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