Estimation of the effect of molecular structure on the tritium β-spectrum and the determination of neutrino mass

Kaplan, I. G.; Smutný, V.; Smelov, G. V.

doi:10.1016/0370-2693(82)91082-6

Cited by 26 publications

(4 citation statements)

References 13 publications

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“…Excitation into the continuum now becomes non-trivial, however, as was explicitly demonstrated in the case of T 2 , e.g., by Doss et al (2006). Averaged over the entire continuum spectrum, differences between several tritiumsubstituted molecules is on the order of a few eV, including atomic tritium (Kaplan et al, 1982). The spectral shape depends on W 2 0 , such that the relative error goes like 2 × σ Q /Q.…”

Section: Influence On the Q Valuementioning

confidence: 92%

“…These effects can be considered even higher-order corrections, but prove essential in, for example, the determination of the antineutrino mass in the tritium system. After comments by Bergkvist (1971), an extensive amount of literature was produced on the atomic and molecular effects on the endpoint energy of tritium (Arafune and Watanabe, 1986;Budick, 1983;Claxton et al, 1992;Durand and Lopez, 1987;Fackler et al, 1985;Froelich et al, 1993;Froelich and Saenz, 1996;Glushkov et al, 2009;Harston and Pyper, 1993;Kaplan et al, 1982;Kolos et al, 1988Kolos et al, , 1985Law, 1981;Lindhard and Hansen, 1986;Lopez and Durand, 1988;Strobel et al, 1984;Szalewicz et al, 1987;Williams and Koonin, 1983). Driven by experimental discrepancies (Backe et al, 1993;Belesev et al, 1995;Lobashev et al, 1999;Weinheimer et al, 1999), this culminated in the seminal works by Saenz and Froelich (Doss, 2007;Doss et al, 2006;Jonsell et al, 1999;Saenz and Froelich, 1997a,b;Saenz et al, 2000), describing in an ab initio and analytical way the influence of additional molecular electrons and spectator nuclei.…”

Section: F Chemical Influencesmentioning

confidence: 99%

“…Dissociation can occur for rovibrational states with a total energy larger than the dissociation energy, or through electronic excitation into a resonant continuum state. The typical energy scale of the former is of the order of a few eV Jonsell et al, 1999) while for the latter is on the order of tens to a few hundred of eV (Claxton et al, 1992;Doss et al, 2006;Jonsell et al, 1999;Kaplan et al, 1982;Saenz and Froelich, 1997b;Saenz et al, 2000). The integrated probability of the molecular continuum depends on the endpoint energy of the transition, as a higher endpoint energy implies a higher recoil energy, thereby typically ending up in the dissociative regime (Cantwell, 1956).…”

Section: Recoil Correctionsmentioning

confidence: 99%

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High precision analytical description of the allowed β spectrum shape

et al. 2018

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A fully analytical description of the allowed β spectrum shape is given in view of ongoing and planned measurements. Its study forms an invaluable tool in the search for physics beyond the standard electroweak model and the weak magnetism recoil term. Contributions stemming from finite size corrections, mass effects, and radiative corrections are reviewed. A particular focus is placed on atomic and chemical effects, where the existing description is extended and analytically provided. The effects of QCD-induced recoil terms are discussed, and cross-checks were performed for different theoretical formalisms. Special attention was given to a comparison of the treatment of nuclear structure effects in different formalisms. Corrections were derived for both Fermi and Gamow-Teller transitions, and methods of analytical evaluation thoroughly discussed. In its integrated form, calculated f values were in agreement with the most precise numerical results within the aimed for precision. We stress the need for an accurate evaluation of weak magnetism contributions, and note the possible significance of the oft-neglected induced pseudoscalar interaction. Together with improved atomic corrections, we then present an analytical description of the allowed β spectrum shape accurate to a few parts in 10 −4 down to 1 keV for low to medium Z nuclei, thereby extending the work by previous authors by nearly an order of magnitude.

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Section: Influence On the Q Valuementioning

confidence: 92%

Section: F Chemical Influencesmentioning

confidence: 99%

Section: Recoil Correctionsmentioning

confidence: 99%

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High precision analytical description of the allowed β spectrum shape

et al. 2018

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“…The spectrum of final states can be reliably calculated for the free 3H atom. This spectrum was computed for valine by Kaplan et al (55). C]learly this problem should considerably alleviated if.…”

Section: Mt He Corresponding Kurie Plot [N(e)/pef(z ]mentioning

confidence: 99%

Low-Energy Neutrino Physics and Neutrino Mass

Boehm¹,

Vogel²

1984

Annu. Rev. Nucl. Part. Sci.

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Introduction

Klein

Kryachko

Leszczyński

et al. 2012

Int J of Quantum Chemistry

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It is a great honor and privilege for the guest editors to pay tribute to the remarkable Professor Ilya G. Kaplan. One of us, E.S.K., had the privilege to be partly among Kaplan's many former graduate students and three, O.N., J.S., and J.L., have fruitfully collaborated with him. We all have been good friends of Ilya and the admirers of his work. Here, we present our tribute in a quite unusual format: a dialogue where Ilya Kaplan shares his memoirs of his path to and in science.

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Estimation of the effect of molecular structure on the tritium β-spectrum and the determination of neutrino mass

Cited by 26 publications

References 13 publications

High precision analytical description of the allowed β spectrum shape

High precision analytical description of the allowed β spectrum shape

Low-Energy Neutrino Physics and Neutrino Mass

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