Explore how the screened Yukawa potential models short-range pion exchanges in atomic nuclei and self-interacting dark matter that shapes galactic cores.
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Explore simulations of Yukawa potentials, from pion-mediated quantum force exchange in atomic nuclei to screened electrostatic deflection and galactic dark matter core dynamics.
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The Yukawa Potential in Nuclear and Dark Matter Physics
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%% --- Subgraph 1: Foundation Space --- %%
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direction TB
Foundations["<b style='font-size:15px; color:#38BDF8'>Foundational Exploration</b><br/>Yukawa Potential V-r Mechanics<br/><i>Current Work</i>"]
NuclearBasics["<b>Nuclear Interactions</b><br/>Pion Exchange<br/>Attractive/Repulsive Wells"]
DarkMatterBasics["<b>SIDM Cosmology</b><br/>Core-Cusp Problem<br/>Scattering/Halo Smoothing"]
NumericsBasics["<b>Numerical Solvers</b><br/>FDM QM Eigenvalues<br/>Classical Scattering"]
Foundations --> NuclearBasics
Foundations --> DarkMatterBasics
Foundations --> NumericsBasics
end
%% --- Node Definitions (Advanced Orientations) --- %%
NuclearAdv["<b style='font-size:15px; color:#D8B4FE'>Orientation A: Nuclear Physics</b><br/>Detailed Strong Force Models"]
Nuclear_L["<b>Higher Angular Momentum States</b><br/>Centrifugal Barriers"]
Nuclear_Tensor["<b>Tensor Forces</b><br/>Spin-Dependent Dynamics"]
Nuclear_Relativistic["<b>Relativistic Corrections</b><br/>Klein-Gordon/Dirac<br/>Quarkonia"]
AstrophysicsAdv["<b style='font-size:15px; color:#FCD34D'>Orientation B: Astrophysics</b><br/>Many-Body & Macro Effects"]
DarkMatter_NBody["<b>3D N-Body Simulations</b><br/>Halo Core Formation"]
NeutronStar_EoS["<b>Dense Matter EoS</b><br/>TOV Equation Solvers"]
ComputingAdv["<b style='font-size:15px; color:#6EE7B7'>Orientation C: Computational Physics</b><br/>Methods & Interactives"]
Computing_Phase["<b>Quantum Scattering</b><br/>Phase Shifts & Cross-Sections"]
Computing_FEM["<b>3D FEM / Variational</b><br/>Basis Sets"]
Computing_WebGL["<b>Interactive WebGL/3D</b><br/>Wavefunction Visualizers"]
%% --- Connections & Transitions --- %%
NuclearBasics ==>|Advance To| NuclearAdv
DarkMatterBasics ==>|Scale To| AstrophysicsAdv
NumericsBasics ==>|Develop To| ComputingAdv
%% Internal Advanced Connections
NuclearAdv --> Nuclear_L
NuclearAdv --> Nuclear_Tensor
NuclearAdv --> Nuclear_Relativistic
AstrophysicsAdv --> DarkMatter_NBody
AstrophysicsAdv --> NeutronStar_EoS
ComputingAdv --> Computing_Phase
ComputingAdv --> Computing_FEM
ComputingAdv --> Computing_WebGL
%% Inter-Orientation Linking
Nuclear_Relativistic -.->|Relativistic Inputs| NeutronStar_EoS
Computing_WebGL -.->|Visualizes| Nuclear_L
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%% --- Apply Classes --- %%
class Foundations foundationCore;
class NuclearBasics,DarkMatterBasics,NumericsBasics foundationNodes;
class NuclearAdv nuclearMain;
class Nuclear_L,Nuclear_Tensor,Nuclear_Relativistic nuclearNodes;
class AstrophysicsAdv astroMain;
class DarkMatter_NBody,NeutronStar_EoS astroNodes;
class ComputingAdv compMain;
class Computing_Phase,Computing_FEM,Computing_WebGL compNodes;
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