Versuch einer Theorie der ?-Strahlen. I

Fermi, E.

doi:10.1007/bf01351864

Cited by 1,103 publications

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“…According to Fermi's golden rule [3], the decay constant (or transition probability) of β-decay is defined by…”

Section: Systematic Formula For β-Decay Half-livesmentioning

confidence: 99%

Systematic Studies on the β-decay Half-lives of r-process Nuclei

Zhou

et al. 2018

EPJ Web Conf.

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Abstract. Based on the accurate macroscopic-microscopic mass formula and the experimental data of β-decay half-lives of the nuclei with atomic number ranging from 20 to 190, a systematic formula has been proposed to calculate β-decay half-lives of neutron-rich nuclei. The formula is proved to reproduce the experimental β-decay half-lives of neutron-rich nuclei very well, and then is used to study the r-process nucleosynthesis in models of high-entropy mass outflows. The calculated abundances show a good agreement with the solar r-abundances around the third peak and the rare earth mass region.

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“…According to Fermi's golden rule [3], the decay constant (or transition probability) of β-decay is defined by…”

Section: Systematic Formula For β-Decay Half-livesmentioning

confidence: 99%

Systematic Studies on the β-decay Half-lives of r-process Nuclei

Zhou

et al. 2018

EPJ Web Conf.

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“…Pauli posited that a third invisible particle must be carrying away the missing energy. A more complete and predictive theory of beta decay was then provided by Enrico Fermi, who named the missing particle the neutrino [13,14].…”

Section: Brief History Of the Standard Modelmentioning

confidence: 99%

“…It follows that an expression which specifies the values of these finitevolume energies should contain information about the interactions, and thus information about scattering. 13 The relation between the finite-volume spectrum and scattering amplitudes was worked out by Martin Lüscher, for the case of a single two-particle channel with zero total momentum [127,128]. In this seminal work, Lüscher derived a relation that allows one to extract the two-pion elastic scattering phase-shift, δ J , and thus also the S-matrix,…”

Section: Finite Volumementioning

confidence: 99%

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Multi-Hadron Observables from Lattice Quantum Chromodynamics

Hansen¹

2014

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Multi-Hadron Observables from Lattice Quantum Chromodynamics Maxwell T. HansenChair of the Supervisory Committee:Professor Stephen R. Sharpe Department of PhysicsWe describe formal work that relates the finite-volume spectrum in a quantum field theory to scattering and decay amplitudes. This is of particular relevance to numerical calculations performed using Lattice Quantum Chromodynamics (LQCD). Correlators calculated using LQCD can only be determined on the Euclidean time axis. For this reason the standard method of determining scattering amplitudes via the Lehmann-Symanzik-Zimmermann reduction formula cannot be employed. By contrast, the finite-volume spectrum is directly accessible in LQCD calculations. Formalism for relating the spectrum to physical scattering observables is thus highly desirable.In this thesis we develop tools for extracting physical information from LQCD for four types of observables. First we analyze systems with multiple, strongly-coupled two-scalar channels. Here we accommodate both identical and nonidentical scalars, and in the latter case allow for degenerate as well as nondegenerate particle masses. Using relativistic field theory, and summing to all orders in perturbation theory, we derive a result relating the finite-volume spectrum to the two-to-two scattering amplitudes of the coupled-channel theory. This generalizes the formalism of Martin Lüscher for the case of single-channel scattering. Second we consider the weak decay of a single particle into multiple, coupled two-scalar channels. We show how the finite-volume matrix element extracted in LQCD is related to matrix elements of asymptotic two-particle states, and thus to decay amplitudes. This generalizes work by Laurent Lellouch and Martin Lüscher. Third we extend the method for extracting matrix elements by considering currents which insert energy, momentum and angular momentum. This allows one to extract transition matrix elements and form factors from LQCD. Finally we look beyond two-particle systems to those with three-particles in asymptotic states. Working again to all orders in relativistic field theory, we derive a relation between the spectrum and an infinite-volume three-to-three scattering quantity. This final analysis is the most complicated of the four, because the all-orders summation is more difficult for this system, and also because a number of new technical issues arise in analyzing the contributing diagrams.

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“…The (6) use of an effective interaction of the form If one calculates the cross section for the purely leptonic process (7) .,…”

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confidence: 99%

New physical phenomena at very high energies

Nauenberg¹

1973

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' Talk given to a Sigma Pi Sigma, Physics Honor Sociefy, Dec. 1973 -i Ever since Rutherford used projectiles to distover the structure of the atom by observing' the dj.stribution of the scattered particle, an enormous richness of new phenomena has been uncovered using the same technique of scattering by increasing the energy of the projectiles. These series of discoveries began with Rutherford using a few Mev alpha partic].es to discover the existence of the nucleus in an atom. Lawrence then developed the cyclctron enabling us to iucrease the energy of the projectiles to hundreds of Mev in order to study the structure of the nucleus and artificially produce pions and

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Versuch einer Theorie der ?-Strahlen. I

Cited by 1,103 publications

References 0 publications

Systematic Studies on the β-decay Half-lives of r-process Nuclei

Systematic Studies on the β-decay Half-lives of r-process Nuclei

Multi-Hadron Observables from Lattice Quantum Chromodynamics

New physical phenomena at very high energies

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