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Then, the total potential can be written as \(V^{DF}(R) = V_D^{DF}(R) + V_{EX}^{DF}(R)\) \(V_D^{DF}(R) = \int \rho_p(r_p)\rho_t(r_t)V_D(s)d^3r_pd^3r_t, \quad s = r_t - r_p + R\) \(V_{EX}^{DF}(R) = \int \rho_p(r_p, r_p + s)\rho_t(r_t, r_t - s)V_{EX}(s)\exp\left(\frac{ik(R)s}{M}\right)d^3r_pd^3r_t\) \(K^2(R) = \frac{2M}{\hbar^2}[E_{c.m} - V_D^{DF}(R) - V_{EX}^{DF}(R) - V_c(R)]\) Here, \(M = \frac{A_p A_t}{(A_p + A_t)}\) is the reduced mass and \(E_{c.m}\) is the center of mass energy

          Then, the total potential can be written as
\(V^{DF}(R) = V_D^{DF}(R) + V_{EX}^{DF}(R)\)

\(V_D^{DF}(R) = \int \rho_p(r_p)\rho_t(r_t)V_D(s)d^3r_pd^3r_t, \quad s = r_t - r_p + R\)

\(V_{EX}^{DF}(R) = \int \rho_p(r_p, r_p + s)\rho_t(r_t, r_t - s)V_{EX}(s)\exp\left(\frac{ik(R)s}{M}\right)d^3r_pd^3r_t\)

\(K^2(R) = \frac{2M}{\hbar^2}[E_{c.m} - V_D^{DF}(R) - V_{EX}^{DF}(R) - V_c(R)]\)

Here, \(M = \frac{A_p A_t}{(A_p + A_t)}\) is the reduced mass and \(E_{c.m}\) is the center of mass energy

Then, the total potential can be written as
V^DF(R) = VD^DF(R) + VEX^DF(R)

VD^DF(R) = ∫(rp)(rt)VD(s)d^3rpd^3rt, s = rt - rp + R

VEX^DF(R) = ∫(rp, rp + s)(rt, rt - s)VEX(s)((ik(R)s)/(M))d^3rpd^3rt

K^2(R) = (2M)/(ħ^2)[Ec.m - VD^DF(R) - VEX^DF(R) - Vc(R)]

Here, M = (Ap At)/((Ap + At)) is the reduced mass and Ec.m is the center of mass energy

Added by Lorena R.

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