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In the AX proton spin system, proton A can sense the two spin states of a coupled proton X, resulting in a doublet NMR signal with two peaks of equal (1:1) intensity. When proton A is coupled to two equivalent protons (AX2 spin system), the spin states of each X can be aligned with or against the external field, creating three possible scenarios. This results in a 1:2:1  triplet signal, where the central peak corresponds to the chemical shift of A and is twice as large or intense as the...
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Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
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Irradiation of a spin-active nucleus causes an increase or decrease in the signal intensity of neighboring nuclei that are not necessarily chemically bonded or involved in J-coupling. This phenomenon, called the nuclear Overhauser enhancement (NOE), results from through-space interactions between the nuclear spins. The NOE effect decreases with increasing internuclear distance and is generally not observed beyond 4 angstroms. In NOE, dipole-dipole interactions between neighboring spin-active...
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NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of one, the...
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In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis.
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The spin state of an NMR-active nucleus can have a slight effect on its immediate electronic environment. This effect propagates through the intervening bonds and affects the electronic environments of NMR-active nuclei up to three bonds away; occasionally, even farther. This phenomenon is called spin–spin coupling or J-coupling. Coupling interactions are mutual and result in small changes in the absorption frequencies of both nuclei involved. While nuclei of the same element are involved...
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Induced Hyperon-Nucleon-Nucleon Interactions and the Hyperon Puzzle.

Roland Wirth1, Robert Roth1

  • 1Institut für Kernphysik, Technische Universität Darmstadt, Schlossgartenstraße 2, 64289 Darmstadt, Germany.

Physical Review Letters
|November 12, 2016
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We performed ab initio calculations for p-shell hypernuclei, incorporating hyperon-nucleon-nucleon (YNN) interactions. Our findings reveal repulsive YNN forces, crucial for understanding hypernuclear systems and the hyperon puzzle.

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Area of Science:

  • Nuclear Physics
  • Quantum Chromodynamics
  • Astroparticle Physics

Background:

  • Hypernuclei are exotic nuclei containing hyperons.
  • Understanding hyperon interactions is key to nuclear physics and astrophysics.
  • The hyperon puzzle in neutron stars remains unresolved.

Purpose of the Study:

  • To conduct the first ab initio calculations of p-shell hypernuclei including hyperon-nucleon-nucleon (YNN) contributions.
  • To investigate the impact of YNN interactions on hypernuclear properties.
  • To explore the connection between YNN forces and the hyperon puzzle.

Main Methods:

  • Ab initio calculations using a similarity renormalization group transformation.
  • Importance-truncated no-core model for improved convergence.
  • Chiral effective field theory for the hyperon-nucleon interaction.

Main Results:

  • Accurate reproduction of experimental hypernuclear excitation energies.
  • Overestimation of hyperon separation energies.
  • Identification of strongly repulsive induced YNN contributions.

Conclusions:

  • Induced YNN terms are crucial for hypernuclear structure calculations.
  • YNN interactions help explain the suppression of Lambda-Sigma conversion.
  • Provides a mechanism for strong LambdaNN three-baryon forces and insights into the hyperon puzzle.