LIGHT UNFLAVORED MESONS (S = C = B = 0) for I =1(Π, B, Ρ, A): Ud, (Uu Dd)/√2, Du; − for I =0(Η, Η′, H, H′, Ω, Φ, F , F ′): C1(U U + D D) + C2(S S)

Total Page:16

File Type:pdf, Size:1020Kb

LIGHT UNFLAVORED MESONS (S = C = B = 0) for I =1(Π, B, Ρ, A): Ud, (Uu Dd)/√2, Du; − for I =0(Η, Η′, H, H′, Ω, Φ, F , F ′): C1(U U + D D) + C2(S S) Citation: M. Tanabashi et al. (Particle Data Group), Phys. Rev. D 98, 030001 (2018) and 2019 update LIGHT UNFLAVORED MESONS (S = C = B = 0) For I =1(π, b, ρ, a): ud, (uu dd)/√2, du; − for I =0(η, η′, h, h′, ω, φ, f , f ′): c1(u u + d d) + c2(s s) ± G P π I (J )=1−(0−) Mass m = 139.57061 0.00024 MeV (S = 1.6) ± 8 Mean life τ = (2.6033 0.0005) 10− s (S=1.2) cτ = 7.8045 m ± × [a] π± ℓ± ν γ form factors ± → ± FV = 0.0254 0.0017 F = 0.0119 ± 0.0001 A ± FV slope parameter a = 0.10 0.06 +0.009 ± R = 0.059 0.008 − π− modes are charge conjugates of the modes below. For decay limits to particles which are not established, see the section on Searches for Axions and Other Very Light Bosons. p + π DECAY MODES Fraction (Γi /Γ) Confidence level (MeV/c) µ+ ν [b] (99.98770 0.00004) % 30 µ ± µ+ ν γ [c] ( 2.00 0.25 ) 10 4 30 µ ± × − e+ ν [b] ( 1.230 0.004 ) 10 4 70 e ± × − e+ ν γ [c] ( 7.39 0.05 ) 10 7 70 e ± × − e+ ν π0 ( 1.036 0.006 ) 10 8 4 e ± × − e+ ν e+ e ( 3.2 0.5 ) 10 9 70 e − ± × − e+ ν ν ν < 5 10 6 90% 70 e × − Lepton Family number (LF) or Lepton number (L) violating modes µ+ ν L [d] < 1.5 10 3 90% 30 e × − µ+ ν LF [d] < 8.0 10 3 90% 30 e × − µ e+ e+ ν LF < 1.6 10 6 90% 30 − × − 0 G PC + π I (J )=1−(0 − ) Mass m = 134.9770 0.0005 MeV (S = 1.1) ± mπ mπ0 = 4.5936 0.0005 MeV ± − ± 17 Mean life τ = (8.52 0.18) 10− s (S=1.2) cτ = 25.5 nm ± × HTTP://PDG.LBL.GOV Page1 Created: 5/22/2019 10:04 Citation: M. Tanabashi et al. (Particle Data Group), Phys. Rev. D 98, 030001 (2018) and 2019 update For decay limits to particles which are not established, see the appropriate Search sections (A0 (axion) and Other Light Boson (X 0) Searches, etc.). Scale factor/ p 0 π DECAY MODES Fraction (Γi /Γ) Confidence level (MeV/c) 2γ (98.823 0.034) % S=1.5 67 ± e+ e γ ( 1.174 0.035) % S=1.5 67 − ± γ positronium ( 1.82 0.29 ) 10 9 67 ± × − e+ e+ e e ( 3.34 0.16 ) 10 5 67 − − ± × − e+ e ( 6.46 0.33 ) 10 8 67 − ± × − 4γ < 2 10 8 CL=90% 67 × − ν ν [e] < 2.7 10 7 CL=90% 67 × − ν ν < 1.7 10 6 CL=90% 67 e e × − ν ν < 1.6 10 6 CL=90% 67 µ µ × − ν ν < 2.1 10 6 CL=90% 67 τ τ × − γ ν ν < 6 10 4 CL=90% 67 × − Charge conjugation (C) or Lepton Family number (LF ) violating modes 3γ C < 3.1 10 8 CL=90% 67 × − µ+ e LF < 3.8 10 10CL=90% 26 − × − µ e+ LF < 3.4 10 9 CL=90% 26 − × − µ+ e + µ e+ LF < 3.6 10 10CL=90% 26 − − × − G PC + + η I (J )=0 (0 − ) Mass m = 547.862 0.017 MeV ± Full width Γ = 1.31 0.05 keV ± C-nonconserving decay parameters + 0 +0.11 2 π π− π left-right asymmetry = (0.09 0.12) 10− − × π+ π π0 sextant asymmetry = (0.12+0.10) 10 2 − 0.11 × − π+ π π0 quadrant asymmetry = ( 0−.09 0.09) 10 2 − − ± × − π+ π γ left-right asymmetry = (0.9 0.4) 10 2 − ± × − π+ π γ β (D-wave) = 0.02 0.07 (S=1.3) − − ± CP-nonconserving decay parameters π+ π e+ e decay-plane asymmetry A = ( 0.6 3.1) 10 2 − − φ − ± × − Dalitz plot parameter π0 π0 π0 α = 0.0288 0.0012 (S = 1.1) − ± Parameter Λ in η ℓ+ ℓ γ decay = 0.716 0.011 GeV/c2 → − ± HTTP://PDG.LBL.GOV Page2 Created: 5/22/2019 10:04 Citation: M. Tanabashi et al. (Particle Data Group), Phys. Rev. D 98, 030001 (2018) and 2019 update Scale factor/ p η DECAY MODES Fraction (Γi /Γ) Confidence level (MeV/c) Neutral modes neutral modes (72.12 0.34) % S=1.2 – ± 2γ (39.41 0.20) % S=1.1 274 ± 3π0 (32.68 0.23) % S=1.1 179 ± π0 2γ ( 2.56 0.22) 10 4 257 ± × − 2π0 2γ < 1.2 10 3 CL=90% 238 × − 4γ < 2.8 10 4 CL=90% 274 × − invisible < 1.0 10 4 CL=90% – × − Charged modes charged modes (28.10 0.34) % S=1.2 – ± π+ π π0 (22.92 0.28) % S=1.2 174 − ± π+ π γ ( 4.22 0.08) % S=1.1 236 − ± e+ e γ ( 6.9 0.4 ) 10 3 S=1.3 274 − ± × − µ+ µ γ ( 3.1 0.4 ) 10 4 253 − ± × − e+ e < 7 10 7 CL=90% 274 − × − µ+ µ ( 5.8 0.8 ) 10 6 253 − ± × − 2e+ 2e ( 2.40 0.22) 10 5 274 − ± × − π+ π e+ e (γ) ( 2.68 0.11) 10 4 235 − − ± × − e+ e µ+ µ < 1.6 10 4 CL=90% 253 − − × − 2µ+ 2µ < 3.6 10 4 CL=90% 161 − × − µ+ µ π+ π < 3.6 10 4 CL=90% 113 − − × − π+ e ν + c.c. < 1.7 10 4 CL=90% 256 − e × − π+ π 2γ < 2.1 10 3 236 − × − π+ π π0 γ < 5 10 4 CL=90% 174 − × − π0 µ+ µ γ < 3 10 6 CL=90% 210 − × − Charge conjugation (C), Parity (P), Charge conjugation Parity (CP), or × Lepton Family number (×LF ) violating modes π0 γ C < 9 10 5 CL=90% 257 × − π+ π P,CP < 1.3 10 5 CL=90% 236 − × − 2π0 P,CP < 3.5 10 4 CL=90% 238 × − 2π0 γ C < 5 10 4 CL=90% 238 × − 3π0 γ C < 6 10 5 CL=90% 179 × − 3γ C < 1.6 10 5 CL=90% 274 × − 4π0 P,CP < 6.9 10 7 CL=90% 40 × − π0 e+ e C [f ] < 8 10 6 CL=90% 257 − × − π0 µ+ µ C [f ] < 5 10 6 CL=90% 210 − × − µ+ e + µ e+ LF < 6 10 6 CL=90% 264 − − × − HTTP://PDG.LBL.GOV Page3 Created: 5/22/2019 10:04 Citation: M. Tanabashi et al. (Particle Data Group), Phys. Rev. D 98, 030001 (2018) and 2019 update [g] G PC + + + f0(500) I (J )=0 (0 ) Mass (T-Matrix Pole √s) = (400–550) i(200–350) MeV − Mass (Breit-Wigner) = (400–550) MeV Full width (Breit-Wigner) = (400–700) MeV f0(500) DECAY MODES Fraction (Γi /Γ) p (MeV/c) π π seen – γ γ seen – [h] G PC + ρ(770) I (J )=1 (1 − −) Mass m = 775.26 0.25 MeV ± Full width Γ = 149.1 0.8 MeV ± Γ = 7.04 0.06 keV ee ± Scale factor/ p ρ(770) DECAY MODES Fraction (Γi /Γ) Confidence level (MeV/c) π π 100 % 363 ∼ ρ(770)± decays π γ ( 4.5 0.5 ) 10 4 S=2.2 375 ± ± × − π η < 6 10 3 CL=84% 152 ± × − π π+ π π0 < 2.0 10 3 CL=84% 254 ± − × − ρ(770)0 decays π+ π γ ( 9.9 1.6 ) 10 3 362 − ± × − π0 γ ( 4.7 0.6 ) 10 4 S=1.4 376 ± × − η γ ( 3.00 0.21 ) 10 4 194 ± × − π0 π0 γ ( 4.5 0.8 ) 10 5 363 ± × − µ+ µ [i] ( 4.55 0.28 ) 10 5 373 − ± × − e+ e [i] ( 4.72 0.05 ) 10 5 388 − ± × − + 0 +0.54 4 π π− π ( 1.01 0.36 0.34) 10− 323 − ± × π+ π π+ π ( 1.8 0.9 ) 10 5 251 − − ± × − π+ π π0 π0 ( 1.6 0.8 ) 10 5 257 − ± × − π0 e+ e < 1.2 10 5 CL=90% 376 − × − G PC ω(782) I (J )=0−(1 − −) Mass m = 782.65 0.12MeV (S =1.9) ± Full width Γ = 8.49 0.08 MeV ± Γ = 0.60 0.02 keV ee ± HTTP://PDG.LBL.GOV Page4 Created: 5/22/2019 10:04 Citation: M. Tanabashi et al. (Particle Data Group), Phys. Rev. D 98, 030001 (2018) and 2019 update Scale factor/ p ω(782) DECAY MODES Fraction (Γi /Γ) Confidence level (MeV/c) π+ π π0 (89.3 0.6 ) % 327 − ± π0 γ ( 8.40 0.22) % S=1.8 380 ± π+ π ( 1.53 0.06) % 366 − ± 0 +7 3 neutrals (excludingπ γ ) ( 7 4 ) 10− S=1.1 – − × η γ ( 4.5 0.4 ) 10 4 S=1.1 200 ± × − π0 e+ e ( 7.7 0.6 ) 10 4 380 − ± × − π0 µ+ µ ( 1.34 0.18) 10 4 S=1.5 349 − ± × − e+ e ( 7.36 0.15) 10 5 S=1.5 391 − ± × − π+ π π0 π0 < 2 10 4 CL=90% 262 − × − π+ π γ < 3.6 10 3 CL=95% 366 − × − π+ π π+ π < 1 10 3 CL=90% 256 − − × − π0 π0 γ ( 6.7 1.1 ) 10 5 367 ± × − η π0 γ < 3.3 10 5 CL=90% 162 × − µ+ µ ( 7.4 1.8 ) 10 5 377 − ± × − 3γ < 1.9 10 4 CL=95% 391 × − Charge conjugation (C) violating modes η π0 C < 2.2 10 4 CL=90% 162 × − 2π0 C < 2.2 10 4 CL=90% 367 × − 3π0 C < 2.3 10 4 CL=90% 330 × − invisible < 7 10 5 CL=90% – × − ′ G PC + + η (958) I (J )=0 (0 − ) Mass m = 957.78 0.06 MeV ± Full width Γ = 0.196 0.009 MeV ± p η′′(958) DECAY MODES Fraction (Γi /Γ) Confidence level (MeV/c) π+ π η (42.6 0.7 ) % 232 − ± ρ0 γ (including non-resonant (28.9 0.5 ) % 165 + ± π π− γ) π0 π0 η (22.8 0.8 ) % 239 ± ω γ ( 2.62 0.13) % 159 ± ω e+ e ( 2.0 0.4 ) 10 4 159 − ± × − γ γ ( 2.22 0.08) % 479 ± 3π0 ( 2.54 0.18) 10 3 430 ± × − µ+ µ γ ( 1.09 0.27) 10 4 467 − ± × − π+ π µ+ µ < 2.9 10 5 90% 401 − − × − π+ π π0 ( 3.61 0.17) 10 3 428 − ± × − (π+ π π0) S-wave ( 3.8 0.5 ) 10 3 428 − ± × − HTTP://PDG.LBL.GOV Page5 Created: 5/22/2019 10:04 Citation: M.
Recommended publications
  • The Five Common Particles
    The Five Common Particles The world around you consists of only three particles: protons, neutrons, and electrons. Protons and neutrons form the nuclei of atoms, and electrons glue everything together and create chemicals and materials. Along with the photon and the neutrino, these particles are essentially the only ones that exist in our solar system, because all the other subatomic particles have half-lives of typically 10-9 second or less, and vanish almost the instant they are created by nuclear reactions in the Sun, etc. Particles interact via the four fundamental forces of nature. Some basic properties of these forces are summarized below. (Other aspects of the fundamental forces are also discussed in the Summary of Particle Physics document on this web site.) Force Range Common Particles It Affects Conserved Quantity gravity infinite neutron, proton, electron, neutrino, photon mass-energy electromagnetic infinite proton, electron, photon charge -14 strong nuclear force ≈ 10 m neutron, proton baryon number -15 weak nuclear force ≈ 10 m neutron, proton, electron, neutrino lepton number Every particle in nature has specific values of all four of the conserved quantities associated with each force. The values for the five common particles are: Particle Rest Mass1 Charge2 Baryon # Lepton # proton 938.3 MeV/c2 +1 e +1 0 neutron 939.6 MeV/c2 0 +1 0 electron 0.511 MeV/c2 -1 e 0 +1 neutrino ≈ 1 eV/c2 0 0 +1 photon 0 eV/c2 0 0 0 1) MeV = mega-electron-volt = 106 eV. It is customary in particle physics to measure the mass of a particle in terms of how much energy it would represent if it were converted via E = mc2.
    [Show full text]
  • (Anti)Proton Mass and Magnetic Moment
    FFK Conference 2019, Tihany, Hungary Precision measurements of the (anti)proton mass and magnetic moment Wolfgang Quint GSI Darmstadt and University of Heidelberg on behalf of the BASE collaboration spokesperson: Stefan Ulmer 2019 / 06 / 12 BASE – Collaboration • Mainz: Measurement of the magnetic moment of the proton, implementation of new technologies. • CERN Antiproton Decelerator: Measurement of the magnetic moment of the antiproton and proton/antiproton q/m ratio • Hannover/PTB: Laser cooling project, new technologies Institutes: RIKEN, MPI-K, CERN, University of Mainz, Tokyo University, GSI Darmstadt, University of Hannover, PTB Braunschweig C. Smorra et al., EPJ-Special Topics, The BASE Experiment, (2015) WE HAVE A PROBLEM mechanism which created the obvious baryon/antibaryon asymmetry in the Universe is not understood One strategy: Compare the fundamental properties of matter / antimatter conjugates with ultra-high precision CPT tests based on particle/antiparticle comparisons R.S. Van Dyck et al., Phys. Rev. Lett. 59 , 26 (1987). Recent B. Schwingenheuer, et al., Phys. Rev. Lett. 74, 4376 (1995). Past CERN H. Dehmelt et al., Phys. Rev. Lett. 83 , 4694 (1999). G. W. Bennett et al., Phys. Rev. D 73 , 072003 (2006). Planned M. Hori et al., Nature 475 , 485 (2011). ALICE G. Gabriesle et al., PRL 82 , 3199(1999). J. DiSciacca et al., PRL 110 , 130801 (2013). S. Ulmer et al., Nature 524 , 196-200 (2015). ALICE Collaboration, Nature Physics 11 , 811–814 (2015). M. Hori et al., Science 354 , 610 (2016). H. Nagahama et al., Nat. Comm. 8, 14084 (2017). M. Ahmadi et al., Nature 541 , 506 (2017). M. Ahmadi et al., Nature 586 , doi:10.1038/s41586-018-0017 (2018).
    [Show full text]
  • Interactions of Antiprotons with Atoms and Molecules
    University of Nebraska - Lincoln DigitalCommons@University of Nebraska - Lincoln US Department of Energy Publications U.S. Department of Energy 1988 INTERACTIONS OF ANTIPROTONS WITH ATOMS AND MOLECULES Mitio Inokuti Argonne National Laboratory Follow this and additional works at: https://digitalcommons.unl.edu/usdoepub Part of the Bioresource and Agricultural Engineering Commons Inokuti, Mitio, "INTERACTIONS OF ANTIPROTONS WITH ATOMS AND MOLECULES" (1988). US Department of Energy Publications. 89. https://digitalcommons.unl.edu/usdoepub/89 This Article is brought to you for free and open access by the U.S. Department of Energy at DigitalCommons@University of Nebraska - Lincoln. It has been accepted for inclusion in US Department of Energy Publications by an authorized administrator of DigitalCommons@University of Nebraska - Lincoln. /'Iud Tracks Radial. Meas., Vol. 16, No. 2/3, pp. 115-123, 1989 0735-245X/89 $3.00 + 0.00 Inl. J. Radial. Appl .. Ins/rum., Part D Pergamon Press pic printed in Great Bntam INTERACTIONS OF ANTIPROTONS WITH ATOMS AND MOLECULES* Mmo INOKUTI Argonne National Laboratory, Argonne, Illinois 60439, U.S.A. (Received 14 November 1988) Abstract-Antiproton beams of relatively low energies (below hundreds of MeV) have recently become available. The present article discusses the significance of those beams in the contexts of radiation physics and of atomic and molecular physics. Studies on individual collisions of antiprotons with atoms and molecules are valuable for a better understanding of collisions of protons or electrons, a subject with many applications. An antiproton is unique as' a stable, negative heavy particle without electronic structure, and it provides an excellent opportunity to study atomic collision theory.
    [Show full text]
  • Decays of the Tau Lepton*
    SLAC - 292 UC - 34D (E) DECAYS OF THE TAU LEPTON* Patricia R. Burchat Stanford Linear Accelerator Center Stanford University Stanford, California 94305 February 1986 Prepared for the Department of Energy under contract number DE-AC03-76SF00515 Printed in the United States of America. Available from the National Techni- cal Information Service, U.S. Department of Commerce, 5285 Port Royal Road, Springfield, Virginia 22161. Price: Printed Copy A07, Microfiche AOl. JC Ph.D. Dissertation. Abstract Previous measurements of the branching fractions of the tau lepton result in a discrepancy between the inclusive branching fraction and the sum of the exclusive branching fractions to final states containing one charged particle. The sum of the exclusive branching fractions is significantly smaller than the inclusive branching fraction. In this analysis, the branching fractions for all the major decay modes are measured simultaneously with the sum of the branching fractions constrained to be one. The branching fractions are measured using an unbiased sample of tau decays, with little background, selected from 207 pb-l of data accumulated with the Mark II detector at the PEP e+e- storage ring. The sample is selected using the decay products of one member of the r+~- pair produced in e+e- annihilation to identify the event and then including the opposite member of the pair in the sample. The sample is divided into subgroups according to charged and neutral particle multiplicity, and charged particle identification. The branching fractions are simultaneously measured using an unfold technique and a maximum likelihood fit. The results of this analysis indicate that the discrepancy found in previous experiments is possibly due to two sources.
    [Show full text]
  • Lepton Flavor and Number Conservation, and Physics Beyond the Standard Model
    Lepton Flavor and Number Conservation, and Physics Beyond the Standard Model Andr´ede Gouv^ea1 and Petr Vogel2 1 Department of Physics and Astronomy, Northwestern University, Evanston, Illinois, 60208, USA 2 Kellogg Radiation Laboratory, Caltech, Pasadena, California, 91125, USA April 1, 2013 Abstract The physics responsible for neutrino masses and lepton mixing remains unknown. More ex- perimental data are needed to constrain and guide possible generalizations of the standard model of particle physics, and reveal the mechanism behind nonzero neutrino masses. Here, the physics associated with searches for the violation of lepton-flavor conservation in charged-lepton processes and the violation of lepton-number conservation in nuclear physics processes is summarized. In the first part, several aspects of charged-lepton flavor violation are discussed, especially its sensitivity to new particles and interactions beyond the standard model of particle physics. The discussion concentrates mostly on rare processes involving muons and electrons. In the second part, the sta- tus of the conservation of total lepton number is discussed. The discussion here concentrates on current and future probes of this apparent law of Nature via searches for neutrinoless double beta decay, which is also the most sensitive probe of the potential Majorana nature of neutrinos. arXiv:1303.4097v2 [hep-ph] 29 Mar 2013 1 1 Introduction In the absence of interactions that lead to nonzero neutrino masses, the Standard Model Lagrangian is invariant under global U(1)e × U(1)µ × U(1)τ rotations of the lepton fields. In other words, if neutrinos are massless, individual lepton-flavor numbers { electron-number, muon-number, and tau-number { are expected to be conserved.
    [Show full text]
  • BOTTOM, STRANGE MESONS (B = ±1, S = ∓1) 0 0 ∗ Bs = Sb, Bs = S B, Similarly for Bs ’S
    Citation: P.A. Zyla et al. (Particle Data Group), Prog. Theor. Exp. Phys. 2020, 083C01 (2020) BOTTOM, STRANGE MESONS (B = ±1, S = ∓1) 0 0 ∗ Bs = sb, Bs = s b, similarly for Bs ’s 0 P − Bs I (J ) = 0(0 ) I , J, P need confirmation. Quantum numbers shown are quark-model predictions. Mass m 0 = 5366.88 ± 0.14 MeV Bs m 0 − mB = 87.38 ± 0.16 MeV Bs Mean life τ = (1.515 ± 0.004) × 10−12 s cτ = 454.2 µm 12 −1 ∆Γ 0 = Γ 0 − Γ 0 = (0.085 ± 0.004) × 10 s Bs BsL Bs H 0 0 Bs -Bs mixing parameters 12 −1 ∆m 0 = m 0 – m 0 = (17.749 ± 0.020) × 10 ¯h s Bs Bs H BsL = (1.1683 ± 0.0013) × 10−8 MeV xs = ∆m 0 /Γ 0 = 26.89 ± 0.07 Bs Bs χs = 0.499312 ± 0.000004 0 CP violation parameters in Bs 2 −3 Re(ǫ 0 )/(1+ ǫ 0 )=(−0.15 ± 0.70) × 10 Bs Bs 0 + − CKK (Bs → K K )=0.14 ± 0.11 0 + − SKK (Bs → K K )=0.30 ± 0.13 0 ∓ ± +0.10 rB(Bs → Ds K )=0.37−0.09 0 ± ∓ ◦ δB(Bs → Ds K ) = (358 ± 14) −2 CP Violation phase βs = (2.55 ± 1.15) × 10 rad λ (B0 → J/ψ(1S)φ)=1.012 ± 0.017 s λ = 0.999 ± 0.017 A, CP violation parameter = −0.75 ± 0.12 C, CP violation parameter = 0.19 ± 0.06 S, CP violation parameter = 0.17 ± 0.06 L ∗ 0 ACP (Bs → J/ψ K (892) ) = −0.05 ± 0.06 k ∗ 0 ACP (Bs → J/ψ K (892) )=0.17 ± 0.15 ⊥ ∗ 0 ACP (Bs → J/ψ K (892) ) = −0.05 ± 0.10 + − ACP (Bs → π K ) = 0.221 ± 0.015 0 + − ∗ 0 ACP (Bs → [K K ]D K (892) ) = −0.04 ± 0.07 HTTP://PDG.LBL.GOV Page1 Created:6/1/202008:28 Citation: P.A.
    [Show full text]
  • Pion and Kaon Structure at 12 Gev Jlab and EIC
    Pion and Kaon Structure at 12 GeV JLab and EIC Tanja Horn Collaboration with Ian Cloet, Rolf Ent, Roy Holt, Thia Keppel, Kijun Park, Paul Reimer, Craig Roberts, Richard Trotta, Andres Vargas Thanks to: Yulia Furletova, Elke Aschenauer and Steve Wood INT 17-3: Spatial and Momentum Tomography 28 August - 29 September 2017, of Hadrons and Nuclei INT - University of Washington Emergence of Mass in the Standard Model LHC has NOT found the “God Particle” Slide adapted from Craig Roberts (EICUGM 2017) because the Higgs boson is NOT the origin of mass – Higgs-boson only produces a little bit of mass – Higgs-generated mass-scales explain neither the proton’s mass nor the pion’s (near-)masslessness Proton is massive, i.e. the mass-scale for strong interactions is vastly different to that of electromagnetism Pion is unnaturally light (but not massless), despite being a strongly interacting composite object built from a valence-quark and valence antiquark Kaon is also light (but not massless), heavier than the pion constituted of a light valence quark and a heavier strange antiquark The strong interaction sector of the Standard Model, i.e. QCD, is the key to understanding the origin, existence and properties of (almost) all known matter Origin of Mass of QCD’s Pseudoscalar Goldstone Modes Exact statements from QCD in terms of current quark masses due to PCAC: [Phys. Rep. 87 (1982) 77; Phys. Rev. C 56 (1997) 3369; Phys. Lett. B420 (1998) 267] 2 Pseudoscalar masses are generated dynamically – If rp ≠ 0, mp ~ √mq The mass of bound states increases as √m with the mass of the constituents In contrast, in quantum mechanical models, e.g., constituent quark models, the mass of bound states rises linearly with the mass of the constituents E.g., in models with constituent quarks Q: in the nucleon mQ ~ ⅓mN ~ 310 MeV, in the pion mQ ~ ½mp ~ 70 MeV, in the kaon (with s quark) mQ ~ 200 MeV – This is not real.
    [Show full text]
  • 1.1. Introduction the Phenomenon of Positron Annihilation Spectroscopy
    PRINCIPLES OF POSITRON ANNIHILATION Chapter-1 __________________________________________________________________________________________ 1.1. Introduction The phenomenon of positron annihilation spectroscopy (PAS) has been utilized as nuclear method to probe a variety of material properties as well as to research problems in solid state physics. The field of solid state investigation with positrons started in the early fifties, when it was recognized that information could be obtained about the properties of solids by studying the annihilation of a positron and an electron as given by Dumond et al. [1] and Bendetti and Roichings [2]. In particular, the discovery of the interaction of positrons with defects in crystal solids by Mckenize et al. [3] has given a strong impetus to a further elaboration of the PAS. Currently, PAS is amongst the best nuclear methods, and its most recent developments are documented in the proceedings of the latest positron annihilation conferences [4-8]. PAS is successfully applied for the investigation of electron characteristics and defect structures present in materials, magnetic structures of solids, plastic deformation at low and high temperature, and phase transformations in alloys, semiconductors, polymers, porous material, etc. Its applications extend from advanced problems of solid state physics and materials science to industrial use. It is also widely used in chemistry, biology, and medicine (e.g. locating tumors). As the process of measurement does not mostly influence the properties of the investigated sample, PAS is a non-destructive testing approach that allows the subsequent study of a sample by other methods. As experimental equipment for many applications, PAS is commercially produced and is relatively cheap, thus, increasingly more research laboratories are using PAS for basic research, diagnostics of machine parts working in hard conditions, and for characterization of high-tech materials.
    [Show full text]
  • Neutrino Opacity I. Neutrino-Lepton Scattering*
    PHYSICAL REVIEW VOLUME 136, NUMBER 4B 23 NOVEMBER 1964 Neutrino Opacity I. Neutrino-Lepton Scattering* JOHN N. BAHCALL California Institute of Technology, Pasadena, California (Received 24 June 1964) The contribution of neutrino-lepton scattering to the total neutrino opacity of matter is investigated; it is found that, contrary to previous beliefs, neutrino scattering dominates the neutrino opacity for many astro­ physically important conditions. The rates for neutrino-electron scattering and antineutrino-electron scatter­ ing are given for a variety of conditions, including both degenerate and nondegenerate gases; the rates for some related reactions are also presented. Formulas are given for the mean scattering angle and the mean energy loss in neutrino and antineutrino scattering. Applications are made to the following problems: (a) the detection of solar neutrinos; (b) the escape of neutrinos from stars; (c) neutrino scattering in cosmology; and (d) energy deposition in supernova explosions. I. INTRODUCTION only been discussed for the special situation of electrons 13 14 XPERIMENTS1·2 designed to detect solar neu­ initially at rest. · E trinos will soon provide crucial tests of the theory In this paper, we investigate the contribution of of stellar energy generation. Other neutrino experiments neutrino-lepton scattering to the total neutrino opacity have been suggested as a test3 of a possible mechanism of matter and show, contrary to previous beliefs, that for producing the high-energy electrons that are inferred neutrino-lepton scattering dominates the neutrino to exist in strong radio sources and as a means4 for opacity for many astrophysically important conditions. studying the high-energy neutrinos emitted in the decay Here, neutrino opacity is defined, analogously to photon of cosmic-ray secondaries.
    [Show full text]
  • 1 the LOCALIZED QUANTUM VACUUM FIELD D. Dragoman
    1 THE LOCALIZED QUANTUM VACUUM FIELD D. Dragoman – Univ. Bucharest, Physics Dept., P.O. Box MG-11, 077125 Bucharest, Romania, e-mail: [email protected] ABSTRACT A model for the localized quantum vacuum is proposed in which the zero-point energy of the quantum electromagnetic field originates in energy- and momentum-conserving transitions of material systems from their ground state to an unstable state with negative energy. These transitions are accompanied by emissions and re-absorptions of real photons, which generate a localized quantum vacuum in the neighborhood of material systems. The model could help resolve the cosmological paradox associated to the zero-point energy of electromagnetic fields, while reclaiming quantum effects associated with quantum vacuum such as the Casimir effect and the Lamb shift; it also offers a new insight into the Zitterbewegung of material particles. 2 INTRODUCTION The zero-point energy (ZPE) of the quantum electromagnetic field is at the same time an indispensable concept of quantum field theory and a controversial issue (see [1] for an excellent review of the subject). The need of the ZPE has been recognized from the beginning of quantum theory of radiation, since only the inclusion of this term assures no first-order temperature-independent correction to the average energy of an oscillator in thermal equilibrium with blackbody radiation in the classical limit of high temperatures. A more rigorous introduction of the ZPE stems from the treatment of the electromagnetic radiation as an ensemble of harmonic quantum oscillators. Then, the total energy of the quantum electromagnetic field is given by E = åk,s hwk (nks +1/ 2) , where nks is the number of quantum oscillators (photons) in the (k,s) mode that propagate with wavevector k and frequency wk =| k | c = kc , and are characterized by the polarization index s.
    [Show full text]
  • X. Charge Conjugation and Parity in Weak Interactions →
    Charge conjugation and parity in weak interactions Particle Physics X. Charge conjugation and parity in weak interactions REMINDER: Parity The parity transformation is the transformation by reflection: → xi x'i = –xi A parity operator Pˆ is defined as Pˆ ψ()()xt, = pψ()–x, t where p = +1 Charge conjugation The charge conjugation replaces particles by their antiparticles, reversing charges and magnetic moments ˆ Ψ Ψ C a = c a where c = +1 meaning that from the particle in the initial state we go to the antiparticle in the final state. Oxana Smirnova & Vincent Hedberg Lund University 248 Charge conjugation and parity in weak interactions Particle Physics Reminder Symmetries Continuous Lorentz transformation Space-time Translation in space Symmetries Translation in time Rotation around an axis Continuous transformations that can Space-time be regarded as a series of infinitely small steps. symmetries Discrete Parity Transformations that affects the Space-time Charge conjugation space-- and time coordinates i.e. transformation of the 4-vector Symmetries Time reversal Minkowski space. Discrete transformations have only two elements i.e. two transformations. Baryon number Global Lepton number symmetries Strangeness number Isospin SU(2)flavour Internal The transformation does not depend on Isospin+Hypercharge SU(3)flavour symmetries r i.e. it is the same everywhere in space. Transformations that do not affect the space- and time- Local gauge Electric charge U(1) coordinates. symmetries Weak charge+weak isospin U(1)xSU(2) Colour SU(3) The
    [Show full text]
  • Three Lectures on Meson Mixing and CKM Phenomenology
    Three Lectures on Meson Mixing and CKM phenomenology Ulrich Nierste Institut f¨ur Theoretische Teilchenphysik Universit¨at Karlsruhe Karlsruhe Institute of Technology, D-76128 Karlsruhe, Germany I give an introduction to the theory of meson-antimeson mixing, aiming at students who plan to work at a flavour physics experiment or intend to do associated theoretical studies. I derive the formulae for the time evolution of a neutral meson system and show how the mass and width differences among the neutral meson eigenstates and the CP phase in mixing are calculated in the Standard Model. Special emphasis is laid on CP violation, which is covered in detail for K−K mixing, Bd−Bd mixing and Bs−Bs mixing. I explain the constraints on the apex (ρ, η) of the unitarity triangle implied by ǫK ,∆MBd ,∆MBd /∆MBs and various mixing-induced CP asymmetries such as aCP(Bd → J/ψKshort)(t). The impact of a future measurement of CP violation in flavour-specific Bd decays is also shown. 1 First lecture: A big-brush picture 1.1 Mesons, quarks and box diagrams The neutral K, D, Bd and Bs mesons are the only hadrons which mix with their antiparticles. These meson states are flavour eigenstates and the corresponding antimesons K, D, Bd and Bs have opposite flavour quantum numbers: K sd, D cu, B bd, B bs, ∼ ∼ d ∼ s ∼ K sd, D cu, B bd, B bs, (1) ∼ ∼ d ∼ s ∼ Here for example “Bs bs” means that the Bs meson has the same flavour quantum numbers as the quark pair (b,s), i.e.∼ the beauty and strangeness quantum numbers are B = 1 and S = 1, respectively.
    [Show full text]