Extended-soft-core baryon-baryon model. I. Nucleon-nucleon scattering with the ESC04 interaction

The NN results are presented from the extended-soft-core (ESC) interactions. They consist of local and nonlocal potentials due to (i) one-boson-exchanges (OBE), which are the members of nonets of pseudoscalar, vector, scalar, and axial mesons, (ii) diffractive exchanges, (iii) two-pseudoscalar exchanges (PS-PS), and (iv) meson-pair exchanges (MPE). We describe a fit to the pp and np data for $0\le T_{\mathrm{lab}}\le 350$ MeV, having a typical ${\chi }^2/N_{\mathrm{data}}=1.155$. Here, we used ∼20 quasi-free physical parameters, which are coupling constants and cutoff masses. A remarkable feature of the couplings is that we were able to require them to follow rather closely the pattern predicted by the ${}^3{P}_0$ quark-pair-creation (QPC) model. As a result the 11 OBE couplings are rather constrained, i.e., quasi free. Also, the deuteron binding energy and the several NN scattering lengths are fitted.

Figure 1

One-boson-exchange graphs: the dashed lines with momentum $\mathbf{k}$ refers to the bosons: pseudoscalar, vector, axial-vector, or scalar mesons.

Figure 2

BW two-meson-exchange graphs: (a) planar and (b)–(d) crossed box. The dashed line with momentum $\mathbf{k}$ refers to the pion, and the dashed line with momentum ${\mathbf{k}}^{\text{'}}$ refers to one of the other (vector, scalar, or pseudoscalar) mesons. To these we have to add the mirror graphs and the graphs where we interchange the two meson lines.

Figure 3

Planar-box TMO two-meson-exchange graphs. Same notation as in Fig. 2. To these we have to add the mirror graphs and the graphs where we interchange the two meson lines.

Figure 4

One- and two-pair exchange graphs. To these we have to add the mirror graphs and the graphs where we interchange the two meson lines.

Figure 5

Solid curves, proton-proton $I=1$ phase shifts (degrees), as a function of $T_{\mathrm{lab}}$(MeV), for the ESC04 model. Dashed curves, the m.e. phases of the Nijmegen93 PW analysis [43]. Dots, s.e. phases of the Nijmegen93 PW analysis. Pentagons, Bugg s.e. [44].

Figure 6

Solid curves, proton-proton $I=1$ phase shifts (degrees), as a function of $T_{\mathrm{lab}}$(MeV), for the ESC04 model. Dashed curves, m.e. phases of the Nijmegen93 PW analysis [43]. Dots, s.e. phases of the Nijmegen93 PW analysis. Pentagons, Bugg s.e. [44].

Figure 7

Solid curves, neutron-proton $I=0$ phase shifts (degrees), as a function of $T_{\mathrm{lab}}$(MeV) for the ESC04 model. Dashed curves, m.e. phases of the Nijmegen93 PW analysis [43]. Dots, s.e. phases of the Nijmegen93 PW analysis. Pentagons, Bugg s.e. [44].

Figure 8

Solid curves, neutron-proton $I=0$ phase shifts (degrees), as a function of $T_{\mathrm{lab}}$(MeV) for the ESC04 model. Dashed curves, m.e. phases of the Nijmegen93 PW analysis [43]. Dots, s.e. phases of the Nijmegen93 PW analysis. Pentagons, Bugg s.e. [44].