Phase-dependent cross sections of deuteron-triton fusion in dichromatic intense fields with high-frequency limit

Abstract

We investigate the influence of strong dichromatic laser fields(i.e. 1ω −2ω and 1ω −3ω) with highfrequency limit on the cross sections of deuteron-triton(DT) fusion in Kramers-Henneberger(KH) frame. We focus on the transitions of phase-dependent effects depending on a dimensionless quantity n d , which equals the ratio of the quiver oscillation amplitude to the geometrical touching radius of the deuteron and triton as defined in our previous research. Theoretical calculations show that the angle-dependent as well as phase-dependent Coulomb barrier penetrabilities can be enhanced in dichromatic intense fields, and the corresponding angle-averaged penetrabilities and the fusion cross sections increase significantly compared with field-free case. Moreover, we find that there are twice shifts of the peak in the cross sections whenever the frequency becomes sufficiently low or the intensity sufficiently high. The reason for the first shift is the angle-dependence effects for sub-barrier fusion, while the second shift is due to the accumulation of over-barrier fusion, these mechanisms are analyzed in detail in this paper.

Resonant tunneling of deuteron-triton fusion in strong high-frequency electromagnetic fields

“…then r kh (t) = r 2 − 2rcos(θ)r e sin(ωt) + (r e sin(ωt)) 2 with r e = e 2cµ 0 I/5mω 2 can be obtained, where θ is the inclination angle between p and the polarization direction z of the electromagnetic field, ω and I are frequency and intensity of the electromagnetic field, respectively. It is useful to introduce the dimensionless quantity n d = r e /r n = 4.89 × 10 −6 √ I/( ω) 2 , where the units of I and ω are W/cm 2 and eV, respectively [9,16,20].…”

“…where P ave (E, n d ) is the angle-averaged penetrability probability through the Coulomb repulsive barrier modified by the strong electromagnetic field [16,20]. Fig.…”

“…Deuteron-triton (DT) fusion in strong electromagnetic fields is also intriguing and has attracted recent attentions [15][16][17][18][19][20][21], partly due to its potential applications as a clear, effective, and sustainable energy in the future [22,23]. In the high-frequency regime of laser fields, the tunneling probability of DT fusion could be enhanced in light of the Floquet scattering method [15] and Kramers approximation [16,20], respectively.…”

“…Deuteron-triton (DT) fusion in strong electromagnetic fields is also intriguing and has attracted recent attentions [15][16][17][18][19][20][21], partly due to its potential applications as a clear, effective, and sustainable energy in the future [22,23]. In the high-frequency regime of laser fields, the tunneling probability of DT fusion could be enhanced in light of the Floquet scattering method [15] and Kramers approximation [16,20], respectively. In the low-frequency regime of laser fields, intense lasers are highly effective in transferring field energy to the DT system and therefore enhance the fusion probabilities based on quantum Volkov state approximation [17].…”

“…Based on Gamow tunneling picture [24][25][26], the DT fusion cross section can be written as a product of geometrical cross section, the tunneling probability through the Coulomb repulsive potential and astrophysical S -factor. Previous studies * Corresponding author: jliu@gscaep.ac.cn mainly focus on the enhancement effects on tunneling probability and assume that the astrophysical S -factor keeps identical to that in the absence of strong electromagnetic fields [15][16][17][18][19][20][21]. Whether strong electromagnetic fields would change astrophysical S -factor remains unclear.…”