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The difference between the calculated and experimentally measured masses is known as the mass defect of the atom. In the case of helium-4, the mass defect indicates a “loss” in mass of 4.0331 amu – 4.0026 amu = 0.0305 amu. The loss in mass accompanying the formation of an atom from protons, neutrons, and electrons is due to the conversion of that mass into energy that is evolved as the atom forms. The nuclear binding energy is the energy produced when the atoms’ nucleons...
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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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Nuclear relaxation restores the equilibrium population imbalance and can occur via spin–lattice or spin–spin mechanisms, which are first-order exponential decay processes.
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Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.
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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...
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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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Study of Protein Dynamics via Neutron Spin Echo Spectroscopy
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Nucleon Energy Correlators.

Xiaohui Liu1, Hua Xing Zhu2

  • 1Center of Advanced Quantum Studies, Department of Physics, Beijing Normal University, Beijing, 100875, China and Center for High Energy Physics, Peking University, Beijing 100871, China.

Physical Review Letters
|March 17, 2023
PubMed
Summary
This summary is machine-generated.

We introduce nucleon energy correlators to probe nucleon structure, complementing tomography without complex fragmentation functions. These correlators reveal phase transitions and Bjorken scaling in deep inelastic scattering experiments.

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Area of Science:

  • High-energy physics
  • Quantum chromodynamics
  • Particle physics

Background:

  • Conventional nucleon tomography relies on nonperturbative fragmentation functions and jet clustering algorithms.
  • Understanding the internal transverse dynamics and parton angular distributions of nucleons is crucial.
  • Existing methods for probing nucleon structure have limitations in capturing all microscopic details.

Purpose of the Study:

  • Introduce novel nucleon energy correlators to encode microscopic nucleon details.
  • Complement existing nucleon tomography methods without introducing fragmentation functions or jet clustering.
  • Demonstrate the measurability of these correlators in lepton-nucleon deep inelastic scattering.

Main Methods:

  • Develop the theoretical framework for nucleon energy correlators.
  • Analyze the relationship between correlators and parton distributions (angular, transverse dynamics).
  • Simulate and predict distributions in deep inelastic scattering.

Main Results:

  • Nucleon energy correlators provide access to parton angular distributions and internal transverse dynamics.
  • Predicted distributions exhibit a phase transition between perturbative and nonperturbative regimes.
  • A polar angle version of Bjorken scaling is predicted in the perturbative phase.

Conclusions:

  • Nucleon energy correlators offer a new, powerful tool for studying nucleon structure.
  • These correlators can be measured in deep inelastic scattering experiments.
  • They are expected to enhance physics discoveries at future electron ion colliders.