## Nov 1, 2014

### E-Catの理論仮説・束縛中性子トンネリング1

Low Radiation Fusion Through Bound Neutron Tunneling (Proposed LENR Theory by Carl-Oscar Gullström)
に紹介されたE-Catの動作原理を推測し仮説を立てた論文の翻訳です。

(ここから)

Low radiation fusion through bound neutron tunneling

Carl-Oscar Gullström

カール·オスカーGullström

October 25, 2014

2014年10月25日

Abstract

To achieve low radiation fusion one considers bound neutron tunneling in the MeV range.

It is found that the probability for bound neutron tunneling is larger then tunneling through a coulomb barrier for Ni Li interaction below the energy for fusion conventional Ni Li fusion.

The theory from basic quantum mechanic tunneling principles are compared with the e-cat device.

It is found that bound neutron tunneling fusion could explain isotope abundance, energy production and burn rate from an e-cat test run done by a third party collaboration.

Bound neutron tunneling

Tunneling is a known process in nuclear physics.

トンネリングは、核物理学で知られているプロセスである。

Alpha decay in heavy nuclides and low energy proton capture in for example Li p interaction is explained by tunneling through a Coulomb barrier.

These examples deals with nucleon above the free energy so the particles could be free.

これらの例は、自由エネルギーを超える核子を扱っています、それ故、粒子が自由でありうるのです。

What will be considered here by the simplest quantum mechanic model is tunneling between 2 potential well created by two nucleons.

The idea is that bound neutron tunneling should be considerable larger than coulomb barrier tunneling.

アイデアは、こういうことです、束縛中性子トンネリングが、クーロン障壁トンネリングよりも大きいと考えなければならないということです。

Bound neutron tunneling should give ground state ground state interaction if the neutron energy level is close in the two considered nucleus.

To calculate the difference in tunnel-ing probabilities one could considered basic quantum mechanics.

トンネルする確率の差を計算するために、人は、基本的な量子力学を検討できた。

In the WBK approximation the transmission coe cient T for a potential barrier is given by

WBK近似における、ポテンシャル障壁のための透過係数Tは、以下で与えられる、

where m is the mass of the tunneling particle, h~ is the planck constant,
V (x) - E is the distance between the energy level and the potential and the
integration limit is between the barrier wall.

ここで、m は、トンネリング粒子の質量、h~ (hに短い横線)は、プランク定数、
V (x) - E は、エネルギーレベルと電位との距離、

In the following example interaction between Ni, Li and p is considered.

First one considered the outer wall point for different energies from coulomb interaction where the coulomb potential is given by

(訳注 1ージの終わり)

Table 1: Distance in fm between nuclides due to Coulomb repulsion

Table 2: Tunneling exp coe cients for coulomb repulsion

where Zi is the charge of the different nuclides.

ここで、 Zi は、異なる核種の帯電。

The radius for different energies in the keV-MeV range is given in 1.

keVの-MeVの範囲の異なるエネルギーのための半径は、1で与えられる。

Next one considered Coulomb barrier tunneling for the same energies if one assumes the radius of the Ni and Li nuclides to be 4 and 2 fm.

The exponential coefficient

is shown in tab. 2

は、表2で示される、

here only coefficient for particles above the coulomb barrier are set to below 0.

ここでは、上記の粒子のための係数だけで、クーロン障壁が0未満に設定されている。

For bound neutron tunneling one here consider the reactions

The potential depth is thought to be constant and calculated from differences in binding energies between the nuclides.

ポテンシャル深さは一定とされ、核種との間の束縛エネルギーの差から計算されたものと考えられる。

All binding energies are from ref. [2].

すべての束縛エネルギーは、参考文献 [2]からのものである。

For Lithium

リチウムについて、

is used while Nickel gives

が、用いられ、他方で ニッケルで与えられるのは、

The coe cients is calculated in tab. 3.

Could one then consider tunneling for protons also but there one has to ad the coulomb
barrier and also for the considered nuclides the last proton binding energy is

Table 3: Tunneling exp coe cients for -7(Li) and -8(Ni) MeV n*

(訳注 2ページの終わり)