Momentum Space Wave Functions. II. The Deuteron Ground State

AbstractWe study a few of the lowest states of the pentaquark $$uudc\overline{c}$$uudcc¯, of positive and negative parity, in a constituent quark model with an SU(4) flavor-spin hyperfine interaction. For positive parity we introduce space wave functions of appropriate permutation symmetry with one unit of orbital angular momentum in the internal motion of the four-quark subsystem or an orbital excitation between the antiquark and the four quark subsystem which remains in the ground state. We show that the lowest positive parity states $$1/2^+, 3/2^+$$1/2+,3/2+ are provided by the first alternative and are located below the $$1/2^-$$1/2- and the $$1/2^+$$1/2+ states with all quarks in the ground state. We compare our results with the LHCb three narrow pentaquark structures reported in 2019.

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Target space entanglement in quantum mechanics of fermions and matrices

Journal of High Energy Physics ◽

10.1007/jhep08(2021)046 ◽

2021 ◽

Vol 2021 (8) ◽

Author(s):

Sotaro Sugishita

Keyword(s):

Mutual Information ◽

Ground State ◽

Entanglement Entropy ◽

Algebraic Approach ◽

Upper Bounds ◽

Wave Functions ◽

Target Space ◽

Single Interval ◽

Area Law ◽

Formula Expression

Abstract We consider entanglement of first-quantized identical particles by adopting an algebraic approach. In particular, we investigate fermions whose wave functions are given by the Slater determinants, as for singlet sectors of one-matrix models. We show that the upper bounds of the general Rényi entropies are N log 2 for N particles or an N × N matrix. We compute the target space entanglement entropy and the mutual information in a free one-matrix model. We confirm the area law: the single-interval entropy for the ground state scales as $$ \frac{1}{3} $$ 1 3 log N in the large N model. We obtain an analytical $$ \mathcal{O}\left({N}^0\right) $$ O N 0 expression of the mutual information for two intervals in the large N expansion.

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Benchmark calculations of Rényi, Tsallis entropies, and Onicescu information energy for ground state helium using correlated Hylleraas wave functions

International Journal of Quantum Chemistry ◽

10.1002/qua.25928 ◽

2019 ◽

Vol 119 (14) ◽

pp. e25928 ◽

Cited By ~ 13

Author(s):

Jen‐Hao Ou ◽

Yew Kam Ho

Keyword(s):

Ground State ◽

Wave Functions ◽

Information Energy

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Electromagnetic transition form factors of baryons in a relativistic Faddeev approach

EPJ Web of Conferences ◽

10.1051/epjconf/201818101013 ◽

2018 ◽

Vol 181 ◽

pp. 01013 ◽

Cited By ~ 1

Author(s):

Reinhard Alkofer ◽

Christian S. Fischer ◽

Hèlios Sanchis-Alepuz

Keyword(s):

Ground State ◽

Bound States ◽

Body Wave ◽

Form Factors ◽

Wave Functions ◽

Electromagnetic Form Factors ◽

Transition Form ◽

Electromagnetic Transition ◽

Three Body ◽

Gluon Interaction

The covariant Faddeev approach which describes baryons as relativistic three-quark bound states and is based on the Dyson-Schwinger and Bethe-Salpeter equations of QCD is briefly reviewed. All elements, including especially the baryons’ three-body-wave-functions, the quark propagators and the dressed quark-photon vertex, are calculated from a well-established approximation for the quark-gluon interaction. Selected previous results of this approach for the spectrum and elastic electromagnetic form factors of ground-state baryons and resonances are reported. The main focus of this talk is a presentation and discussion of results from a recent investigation of the electromagnetic transition form factors between ground-state octet and decuplet baryons as well as the octet-only Σ0 to Λ transition.

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