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Protons and neutrons, collectively called nucleons, are packed together tightly in a nucleus. With a radius of about 10−15 meters, a nucleus is quite small compared to the radius of the entire atom, which is about 10−10 meters. Nuclei are extremely dense compared to bulk matter, averaging 1.8 × 1014 grams per cubic centimeter. If the earth’s density were equal to the average nuclear density, the earth’s radius would be only about 200 meters.
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All atomic particles possess an intrinsic angular momentum, or 'spin'. Electrons, protons, and neutrons each have a spin value of ½, although protons and neutrons in nuclei may have higher half-integer spins owing to energetic factors.
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All atomic nuclei are positively charged. When they have a nonzero spin, they behave like rotating charges. As a consequence of their charge and spin, these nuclei generate a magnetic field (B). This, in turn, gives rise to a magnetic moment (μ), which is randomly oriented in the absence of an external magnetic field. When an external magnetic field (B0) is applied, the magnetic moment vectors can align with the field or against it in 2 + 1 orientations. A hydrogen nucleus, which is just a...
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Finite Nuclei in the Quark-Meson Coupling Model.

J R Stone1,2, P A M Guichon3, P G Reinhard4

  • 1Department of Physics, University of Oxford, Oxford OX1 3PU, United Kingdom.

Physical Review Letters
|March 19, 2016
PubMed
Summary
This summary is machine-generated.

This study introduces the effective quark-meson coupling (QMC) energy density functional (EDF) for nuclear structure. The QMC EDF offers a novel approach to nuclear medium effects, achieving results comparable to Skyrme EDFs with fewer parameters.

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Area of Science:

  • Nuclear Physics
  • Quantum Chromodynamics
  • Hadron Structure

Background:

  • Nuclear structure calculations rely on energy density functionals (EDFs).
  • Existing EDFs, like Skyrme, often require numerous parameters and fine-tuning.
  • A microscopic approach considering nucleon structure modifications is needed.

Purpose of the Study:

  • To apply the effective quark-meson coupling (QMC) energy density functional (EDF) for the first time.
  • To investigate ground state properties of even-even nuclei using the QMC EDF.
  • To compare the performance of the QMC EDF with established Skyrme EDFs.

Main Methods:

  • Utilized the nonrelativistic Hartree-Fock+BCS framework.
  • Employed an EDF derived from a quark model of hadron structure.
  • Incorporated nuclear medium effects via modifications to nucleon internal structure.

Main Results:

  • The QMC EDF successfully studied a wide range of ground state properties for even-even nuclei.
  • Achieved agreement with experimental data comparable to representative Skyrme EDFs.
  • Demonstrated that the QMC EDF naturally derives density dependence and spin-orbit terms.

Conclusions:

  • The QMC EDF provides a promising, parameter-efficient alternative for nuclear structure studies.
  • Its microscopic derivation offers a clear physics basis for its adjustable parameters.
  • The QMC EDF shows potential for describing both finite nuclei and nuclear matter without further adjustment.