spin_paper/archive/experimental-scripts/hadron_structure_s017_test.py

389 lines
13 KiB
Python

#!/usr/bin/env python3
"""
Hadron Structure Testing with s ≈ 0.17 Angular Momentum Constraint
Tests the discovered s ≈ 0.17 constraint (L ≈ 0.17ℏ for quarks) against:
1. Known hadron magnetic moments
2. Spin-orbit coupling in nucleons
3. Regge trajectories (mass vs angular momentum)
4. Multi-quark systems (mesons, baryons)
5. Bag model predictions
6. Experimental form factors
Author: Andre Heinecke & AI Collaborators
Date: June 2025
License: CC BY-SA 4.0
Repository: https://git.esus.name/esus/spin_paper/
"""
import numpy as np
import sys
try:
import scipy.constants as const
from scipy.constants import physical_constants
SCIPY_AVAILABLE = True
except ImportError:
SCIPY_AVAILABLE = False
# ==============================================================================
# CONSTANTS AND PARAMETERS
# ==============================================================================
def get_constants():
"""Get fundamental constants"""
if SCIPY_AVAILABLE:
return {
'hbar': const.hbar,
'c': const.c,
'e': const.e,
'me': const.m_e,
'mp': const.m_p,
'mn': const.m_n,
}
else:
return {
'hbar': 1.054571817e-34,
'c': 299792458,
'e': 1.602176634e-19,
'me': 9.1093837015e-31,
'mp': 1.67262192369e-27,
'mn': 1.67492749804e-27,
}
def get_hadron_data():
"""Known hadron properties for testing"""
# Convert units
if SCIPY_AVAILABLE:
mev_to_kg = const.e * 1e6 / const.c**2
mu_n = physical_constants['nuclear magneton'][0] # Nuclear magneton
else:
mev_to_kg = 1.602176634e-19 * 1e6 / (299792458**2)
mu_n = 5.0507837461e-27 # J/T, nuclear magneton
hadrons = {
# Baryons (qqq systems)
'proton': {
'mass': 938.3 * mev_to_kg,
'charge': 1,
'spin': 0.5,
'magnetic_moment': 2.7928 * mu_n, # Experimental value
'quarks': ['u', 'u', 'd'],
'angular_momentum': 0.5, # Total J
},
'neutron': {
'mass': 939.6 * mev_to_kg,
'charge': 0,
'spin': 0.5,
'magnetic_moment': -1.9130 * mu_n,
'quarks': ['u', 'd', 'd'],
'angular_momentum': 0.5,
},
'delta_plus': {
'mass': 1232 * mev_to_kg,
'charge': 1,
'spin': 1.5,
'magnetic_moment': None, # To be calculated
'quarks': ['u', 'u', 'd'],
'angular_momentum': 1.5,
},
# Mesons (qq̄ systems)
'pion_charged': {
'mass': 139.6 * mev_to_kg,
'charge': 1,
'spin': 0,
'magnetic_moment': None,
'quarks': ['u', ''], # or d, ū
'angular_momentum': 0,
},
'rho_meson': {
'mass': 775.3 * mev_to_kg,
'charge': 1,
'spin': 1,
'magnetic_moment': None,
'quarks': ['u', ''],
'angular_momentum': 1,
},
# Heavy quarkonia for testing
'j_psi': {
'mass': 3097 * mev_to_kg,
'charge': 0,
'spin': 1,
'magnetic_moment': None,
'quarks': ['c', ''],
'angular_momentum': 1,
}
}
return hadrons, mu_n
# ==============================================================================
# ANGULAR MOMENTUM ANALYSIS
# ==============================================================================
class HadronAngularMomentumAnalyzer:
"""Test s ≈ 0.17 constraint against hadron physics"""
def __init__(self):
self.constants = get_constants()
self.hadrons, self.mu_n = get_hadron_data()
self.s_quark = 0.17 # Discovered constraint
self.s_electron = 0.5 # Atomic reference
def calculate_quark_magnetic_moment(self, quark_type, s_factor):
"""Calculate magnetic moment with modified angular momentum"""
# Quark charges (in units of e)
quark_charges = {
'u': 2.0/3.0,
'd': -1.0/3.0,
'c': 2.0/3.0,
's': -1.0/3.0,
'b': -1.0/3.0,
't': 2.0/3.0
}
# Constituent quark masses (effective masses in hadrons)
if SCIPY_AVAILABLE:
mev_to_kg = const.e * 1e6 / const.c**2
else:
mev_to_kg = 1.602176634e-19 * 1e6 / (299792458**2)
quark_masses = {
'u': 350 * mev_to_kg,
'd': 350 * mev_to_kg,
'c': 1500 * mev_to_kg,
's': 500 * mev_to_kg,
'b': 4800 * mev_to_kg,
't': 173000 * mev_to_kg
}
q = quark_charges[quark_type] * self.constants['e']
m = quark_masses[quark_type]
# Magnetic moment: μ = q*L/(2m) where L = s*ℏ
mu = q * s_factor * self.constants['hbar'] / (2 * m)
return mu, q, m
def test_nucleon_magnetic_moments(self):
"""Test if s ≈ 0.17 can explain proton/neutron magnetic moments"""
print("NUCLEON MAGNETIC MOMENT ANALYSIS")
print("="*50)
print("Testing whether s ≈ 0.17 constraint explains experimental values")
print()
for nucleon in ['proton', 'neutron']:
data = self.hadrons[nucleon]
quarks = data['quarks']
mu_exp = data['magnetic_moment']
print(f"{nucleon.upper()} ({' '.join(quarks)}):")
print(f" Experimental μ = {mu_exp/self.mu_n:.3f} μ_N")
# Calculate with s ≈ 0.17
mu_total_s017 = 0
for quark in quarks:
quark_clean = quark.replace('̄', '') # Remove antiparticle bar
sign = -1 if '̄' in quark else 1
mu_q, q, m = self.calculate_quark_magnetic_moment(quark_clean, self.s_quark)
mu_total_s017 += sign * mu_q
print(f" Predicted (s=0.17): {mu_total_s017/self.mu_n:.3f} μ_N")
# Calculate with standard s = 0.5 for comparison
mu_total_s05 = 0
for quark in quarks:
quark_clean = quark.replace('̄', '')
sign = -1 if '̄' in quark else 1
mu_q, q, m = self.calculate_quark_magnetic_moment(quark_clean, self.s_electron)
mu_total_s05 += sign * mu_q
print(f" Standard (s=0.5): {mu_total_s05/self.mu_n:.3f} μ_N")
# Agreement ratios
ratio_s017 = (mu_total_s017 / mu_exp) if mu_exp != 0 else 0
ratio_s05 = (mu_total_s05 / mu_exp) if mu_exp != 0 else 0
print(f" Agreement s=0.17: {ratio_s017:.3f}")
print(f" Agreement s=0.5: {ratio_s05:.3f}")
print()
return mu_total_s017, mu_total_s05
def test_regge_trajectories(self):
"""Test angular momentum vs mass relationships"""
print("REGGE TRAJECTORY ANALYSIS")
print("="*40)
print("Testing mass vs angular momentum relationships")
print()
# Collect hadrons by angular momentum
j_values = {}
for name, data in self.hadrons.items():
j = data['angular_momentum']
mass = data['mass']
if j not in j_values:
j_values[j] = []
j_values[j].append((name, mass))
print(f"{'J':<5} {'Hadron':<15} {'Mass (MeV)':<12} {'s_eff implied':<12}")
print("-" * 50)
for j in sorted(j_values.keys()):
for name, mass in j_values[j]:
mass_mev = mass * self.constants['c']**2 / self.constants['e'] / 1e6
# If this were orbital angular momentum: L = J*ℏ = s_eff*ℏ
s_eff = j
print(f"{j:<5.1f} {name:<15} {mass_mev:<12.1f} {s_eff:<12.1f}")
print()
print("Note: If quarks follow s ≈ 0.17, total hadron J should reflect")
print(" combinations of individual quark angular momenta")
def test_bag_model_connection(self):
"""Test connection to MIT bag model"""
print("BAG MODEL CONNECTION")
print("="*30)
print("Testing if s ≈ 0.17 is consistent with bag confinement")
print()
# Typical bag parameters
bag_constant = 145e6 * self.constants['e'] # 145 MeV in Joules
bag_radius_proton = 0.8e-15 # 0.8 fm
# In bag model: quark angular momentum from L = sqrt(j(j+1))*ℏ
# For j = 1/2: L = sqrt(3/4)*ℏ = 0.866*ℏ
# Our s ≈ 0.17 gives L = 0.17*ℏ
j_bag_standard = 0.5 # Quark spin
L_bag_standard = np.sqrt(j_bag_standard * (j_bag_standard + 1)) * self.constants['hbar']
L_our_model = self.s_quark * self.constants['hbar']
print(f"Bag model (j=1/2): L = {L_bag_standard/self.constants['hbar']:.3f}")
print(f"Our model: L = {L_our_model/self.constants['hbar']:.3f}")
print(f"Ratio: {L_our_model/L_bag_standard:.3f}")
print()
# Energy scale comparison
E_bag = bag_constant
E_geometric = self.constants['hbar']**2 * self.s_quark**2 / (
350e6 * self.constants['e'] / self.constants['c']**2 * bag_radius_proton**3
)
print(f"Bag constant: {E_bag/self.constants['e']/1e6:.0f} MeV")
print(f"Geometric energy: {E_geometric/self.constants['e']/1e6:.0f} MeV")
print(f"Scale ratio: {E_geometric/E_bag:.3f}")
def test_multi_quark_systems(self):
"""Test how s ≈ 0.17 applies to different quark combinations"""
print("\nMULTI-QUARK SYSTEM ANALYSIS")
print("="*40)
print("Testing s ≈ 0.17 in mesons vs baryons")
print()
print(f"{'System':<15} {'Quarks':<10} {'J_total':<8} {'s_individual':<12} {'Configuration'}")
print("-" * 65)
# Analyze different systems
systems = [
('Pion', 'qq̄', 0, 'Antiparallel spins'),
('Rho meson', 'qq̄', 1, 'Parallel spins + L=0'),
('Proton', 'qqq', 0.5, 'Two parallel + one anti'),
('Delta', 'qqq', 1.5, 'All parallel spins'),
]
for name, quarks, j_total, config in systems:
# For our model: each quark contributes ≈ 0.17ℏ angular momentum
n_quarks = len(quarks.replace('̄', ''))
s_individual = self.s_quark
print(f"{name:<15} {quarks:<10} {j_total:<8.1f} {s_individual:<12.2f} {config}")
print()
print("Key insight: If individual quarks have L ≈ 0.17ℏ,")
print("total hadron angular momentum comes from vector combination")
print("of reduced individual contributions plus relative motion")
def experimental_predictions(self):
"""Generate testable predictions from s ≈ 0.17 constraint"""
print("\nEXPERIMENTAL PREDICTIONS")
print("="*35)
print("Testable consequences of L_quark ≈ 0.17ℏ constraint")
print()
print("1. MAGNETIC MOMENT RATIOS:")
print(" μ_p/μ_n should scale with s ≈ 0.17 rather than s = 0.5")
print()
print("2. FORM FACTOR SLOPES:")
print(" Charge/magnetic form factors reflect reduced angular momentum")
print(" Slope parameters should differ from point-particle predictions")
print()
print("3. SPIN-ORBIT COUPLING:")
print(" Hyperfine structure in hadron spectra reflects L ≈ 0.17ℏ")
print(" Different from atomic physics (L = 0.5ℏ)")
print()
print("4. DEEP INELASTIC SCATTERING:")
print(" Parton angular momentum distributions affected")
print(" Total quark contribution to nucleon spin modified")
print()
print("5. LATTICE QCD TESTS:")
print(" Direct measurement of quark angular momentum in simulations")
print(" Should find L ≈ 0.17ℏ for individual quarks")
# ==============================================================================
# MAIN ANALYSIS
# ==============================================================================
def main():
"""Run hadron structure analysis with s ≈ 0.17 constraint"""
print("HADRON STRUCTURE ANALYSIS: s ≈ 0.17 ANGULAR MOMENTUM CONSTRAINT")
print("="*75)
print("Testing discovered quark constraint L ≈ 0.17ℏ against hadron physics")
print()
analyzer = HadronAngularMomentumAnalyzer()
# Test magnetic moments
analyzer.test_nucleon_magnetic_moments()
# Test Regge trajectories
analyzer.test_regge_trajectories()
# Test bag model connection
analyzer.test_bag_model_connection()
# Test multi-quark systems
analyzer.test_multi_quark_systems()
# Generate experimental predictions
analyzer.experimental_predictions()
print(f"\n" + "="*75)
print("ANALYSIS COMPLETE")
print("="*75)
if __name__ == "__main__":
if len(sys.argv) > 1 and sys.argv[1] in ['-h', '--help']:
print("Usage: python hadron_structure_s017_test.py")
print(" Tests s ≈ 0.17 angular momentum constraint against hadron physics")
print(" Generates experimental predictions for verification")
sys.exit(0)
main()