Hungarian LENR Researchers Respond to the Google LENR Group’s Negative Results

The following post has been submitted by Gregory Goble

Interesting paper titled “On Low-Energy Nuclear Reactions” published on arXiv, 21 June 2019, by Péter Kálmán and Tamás Keszthelyi out of Hungary.

They have been involved in LENR research for years. Review their works at LENR-CANR,org. I’ve also included a link to their Research Gate project. There you will find another paper worth reviewing published in Physical Review, May of 2019 titled, “Forbidden Nuclear Reactions”

arXiv Article – On Low-Energy Nuclear Reactions
P´eter K´alm´an and Tam´as Keszthelyi Budapest University of Technology and Economics, Institute of Physics, Budapest, Hungary


Based on our recent theoretical findings (Phys. Rev. C 99, 054620v(2019)) it is shown that proton and deuteron capture reactions of extremely low energy may have accountable rate in the case of all elements of the periodic table. Certain numerical results of rates of
nuclear reactions of two final fragments of extremely low energy are also given. New way of thinking about low-energy nuclear reactions (LENR) phenomena is suggested. Possible explanations for the contradictory observations announced between 1905-1927 and possible
reasons for negative results of ’cold fusion’ experiments published recently by the Google-organized scientific group ( are given.

From page 4


Experiments of negative results of Google-organized research group

In [14], three principal directions of research were specified: highly hydrated metals, calorimetry under extreme conditions and low-energy nuclear reactions. (This later terminology was to define a special pulsed deuterium plasma device [22] which was applied to induce
nuclear reactions of low energy.) However, nuclear transmutation [5]-[8], which is the most important phenomenon connected to LENR, was missing. It was shown above that nuclear transmutation is possible for all the elements of the periodic table therefore it is expected that traces of it must be present in all LENR observations. There exist very sensitive methods which are capable to determine small amounts of changes of chemical composition of materials and show the appearance of nuclear transmutation. Thus omission of search for nuclear transmutation is the main fault in the program of [14]. – end quotes

Research Gate Project – Low Energy Nuclear Processes
Péter Kálmán and Tamás Keszthelyi

Goal: Low energy nuclear processes that are strongly hindered by Coulomb repulsion between the reacting nuclei, are investigated in solid environment. The hindering effect may be significantly weakened (practically it disappears) if one takes into account the Coulomb
interaction of one of the reacting particles with the surroundings. If the modification of the wave function due to Coulomb interaction with charged constituents of the environment is taken into account applying standard perturbation calculation of quantum mechanics then wave
components of high momentum with small amplitude are mixed to the initial wave of small momentum. To these partial waves of high momentum much higher Coulomb factor can be attached that can drastically increase the cross section. The mechanism (called recoil assistance) opens the door to a great variety of nuclear processes that so far have been thought to have negligible rate at low energies. Low energy nuclear reactions allowed by recoil assistance lead to nuclear transmutations too.

Physical Review article – Forbidden Nuclear Reactionsálmán, Péter & Keszthelyi, Tamás. (2019).. Physical Review C. 99.

Exothermal nuclear reactions that become forbidden due to Coulomb repulsion in the ɛ→0 limit [limɛ→0σɛ=0] are investigated. [σɛ is the cross section and ɛ is the center of mass
energy.] It is found that any perturbation may mix states with small but finite amplitude to the initial state resulting in finite cross section (and rate) of the originally forbidden nuclear reaction in the ɛ→0 limit. The statement is illustrated by modification of nuclear
reactions due to impurities in a gas mix of atomic state. The change of the wave function of reacting particles in nuclear range due to their Coulomb interaction with impurity is determined using standard time-independent perturbation calculation of quantum mechanics. As an
example, cross section, rate and power densities of impurity-assisted nuclear pd reaction are numerically calculated. With the aid of astrophysical factors cross section and power densities of the impurity-assisted d(d,n)He23, d(d,p)t,d(t,n)He24, He23(d,p)He24, Li36(p,α)He23, Li36(d,α)He24, Li37(p,α)He24, Be49(p,α)Li36,Be49(p,d)Be48,Be49(α,n)C612,B510(p,α)Be47, and B511(p,α)Be48 reactions are also given. The affect of gas mix-wall interaction on the process is considered too.