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Laser Irradiated Enhancement of Atomic Electron Capture Rate For New Physics Search

Laser Irradiated Enhancement of Atomic Electron Capture Rate For New Physics Search. hep-ph 0605031 Prog. Theor. Phys. 117. Takashi Shimomura. (Saitama Univ.). In Collaboration with. Joe Sato and Takaaki Nomura. (Saitama Univ.). 1. Introduction.

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Laser Irradiated Enhancement of Atomic Electron Capture Rate For New Physics Search

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  1. Laser Irradiated Enhancement of Atomic Electron Capture Rate For New Physics Search hep-ph 0605031Prog. Theor. Phys. 117 Takashi Shimomura (Saitama Univ.) In Collaboration with Joe Sato and Takaaki Nomura (Saitama Univ.) KEKPH’07, KEK, Tsukuba

  2. 1. Introduction Electron capture processes have a potential Power to Search New Physics ! 1. Majorana nature of neutrinos 2. Lepton Flavor Violations M. Yoshimura, hep-ph/0611362 , hep-ph/0507248 Ikeda, Nakano, Sakuda, Tanaka and Yoshimura, hep-ph/0506062 3. Mono energetic neutrino beam M. Rolinec and J. Sato, hep-ph/0612148 J. Sato, Phys.Rev.Lett.95:131804,2005. KEKPH’07, KEK, Tsukuba

  3. Electron capture processes are attractive ! But • The capture rate is generally low … • LFV and LNV are rare events… To obtain a high statistics Enhance the capture processes ! KEKPH’07, KEK, Tsukuba

  4. How to enhance the capture processes? An interesting way is LASER irradiation to an atom M. Yoshimura, hep-ph/0507248 • Laser Power is • Laser Energy ～ several eV • Resonance We found another Enhance mechanism by a LASER KEKPH’07, KEK, Tsukuba

  5. Key point of our work Electron Capture Rate Wave function of the electron Amplitude of capture process with a free electron Make the electron effectively heavier ! KEKPH’07, KEK, Tsukuba

  6. Change of the mass Naïve explanation of our mechanism Wave picture Under the laser irradiation Change of the de Broglie wave length Change of the momentum Change of the energy KEKPH’07, KEK, Tsukuba

  7. 2. Non-Relativistic Equation with LASER filed Dirac equation Vector potential Coulomb potential The two identical lasers are irradiated from the both sides Average photon number density KEKPH’07, KEK, Tsukuba

  8. Effective mass Diagonalized by U KEKPH’07, KEK, Tsukuba

  9. Neglect assumptions • The wave length of the laser is much larger than the size of the atom. • the oscillation period of the laser is longer than the time interval which we consider. Ignore the position dependence of U, meff Ignore the time dependence of U, meff KEKPH’07, KEK, Tsukuba

  10. Non-Relativistic Limit • Take the direction of to z • Separate the time dependence Virial theorem KEKPH’07, KEK, Tsukuba

  11. 3. Wave Functions Solve the non-relativistic equation perturbatively In the following, we consider 1s state. 0th order KEKPH’07, KEK, Tsukuba

  12. Only l=even and m=0 states appear 1st order 2nd order KEKPH’07, KEK, Tsukuba

  13. Probability density is determined by the 0th order KEKPH’07, KEK, Tsukuba

  14. 4. Enhancement of Atomic Electron Capture Rate Capture Rate Enhancement rate Increase function of KEKPH’07, KEK, Tsukuba

  15. Intensity Dependence Enhancement Rate Enhancement rate KEKPH’07, KEK, Tsukuba

  16. Energy Dependence Enhancement Rate Enhancement rate KEKPH’07, KEK, Tsukuba

  17. 5. Summary We have investigated a mechanism to enhance atomic electron capture decay by a laser irradiation • The mass of electron becomes effectively heavier under the laser irradiation. • The non-relativistic equation with effective mass was derived. • The lower energy beam is better when the intensity is the same. • The order of magnitude enhancement can be theoretically achieved. KEKPH’07, KEK, Tsukuba

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  19. We considered the short time interval We have to consider the time dependence of the laser for more realistic situations. • We replaced the vector potential by its time average We have to calculate the time average of for longer time period. KEKPH’07, KEK, Tsukuba

  20. In the following Intensity, Energy, Static assumption is valid Å Time average KEKPH’07, KEK, Tsukuba

  21. 4. Competitive Ionizations Potential of the laser Ammosov, et al. Zh. Eksp. Teor. Fiz, 1986 Tunnel Ionization probability Coulomb electric field Laser electric field tunneling L’Huillier, et al. Phys.Rev.A, 1989 Multi-photon Absorption Ionization Cross section 0 Vector potential Large! KEKPH’07, KEK, Tsukuba

  22. Intensity Dependence KEKPH’07, KEK, Tsukuba

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  26. a wave function of a bound electron at the center amplitude of the capture process with the free electron the Lorentz invariant phase space Electron Capture Rate determined by the fundamental physics can enhance ? KEKPH’07, KEK, Tsukuba

  27. Table of Talk • Introduction • Non-Relativistic Equation with Laser Field • Probability Density • Competitive Ionizations • Enhancement of Atomic Electron Capture Rate • Summary and Future Work KEKPH’07, KEK, Tsukuba

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