$N\text{−}d$ scattering including electromagnetic forces

The electromagnetic potential consisting in the Coulomb plus the magnetic moment interactions between two nucleons is studied in nucleon-deuteron scattering. For states in which the relative $N\text{−}d$ angular momentum $L$ has low values the three-nucleon problem has been solved using the correlated hyperspherical harmonic expansion basis. For states in which the angular momentum $L$ has large values, explicit formulas for the nucleon-deuteron magnetic moment interaction are derived and used to calculate the corresponding $T$ matrices in Born approximation. Then, the transition matrices describing $N\text{−}d$ elastic scattering have been derived including an infinite number of partial waves as required by the $1∕r^3$ behavior of the magnetic moment interaction. Appreciable effects are observed in the vector analyzing powers at low energies. The evolution of these effects by increasing the collision energy is examined.

Figure 1

The $n\text{−}d$ $A_y$ calculated using AV18 (solid line) and AV18+MM (dotted-dashed line). For the dashed line see text. Experimental points are from Ref. 20.

Figure 2

The $n\text{−}d$ $A_y$ at $E_{lab}=6.5\text{MeV}$ calculated using AV18 (solid line) and AV18+MM (dotted-dashed line). Experimental points are from Ref. 21.

Figure 3

The $p\text{−}d$ $A_y$ and $i{T}_{11}$ calculated using AV18 (solid line) and AV18+MM (dotted-dashed line). For the dashed line see text. Experimental points are from Ref. 23 ($1\text{MeV}$) and Ref. 25 ($3\text{MeV}$).

Figure 4

The $p\text{−}d$ $A_y$ and $i{T}_{11}$ calculated using AV18 (solid line) and AV18+MM (dotted-dashed line). Experimental points at $E_p=\mathrm{5,10}\text{MeV}$ and $E_d=10\text{MeV}$ are from Ref. 27, $E_d=20\text{MeV}$ are from Ref. 28.

Figure 5

Relative difference between the theoretical and experimental vector analyzing powers $A_y$ at the peak as a function of energy.

Figure 6

Relative difference between the theoretical and experimental vector analyzing powers $i{T}_{11}$ at the peak as a function of energy.

Figure 7

The differential cross section and $A_y$ at $E_{lab}=65\text{MeV}$. For explanation of the curves see text. Experimental data are from Ref. 29.

Figure 8

The deuteron analyzing power $i{T}_{11}$ and the tensor analyzing powers $T_{20},T_{21},T_{22}$ at $E_{lab}=65\text{MeV}$. For explanation of the curves see text. Experimental data are from Ref. 30.