Highly Excited Odd-Parity Resonant States of ⁶Li around $E_{x} \simeq 18 \sim 27 $MeV with the Complex-Scaled ³He + t Resonating Group Method

Di-trinucleon resonance states ofA=6systems in a microscopic cluster model

“…Note that when the y defined in Refs. [7,10] go to 1.0 (w = m and b = h), both odd-wave phase shifts agree exactly and the MH potential used here is in this case.…”

“…With the MN, FU, and MH potentials, resonance energies of the three F -wave states are 11-14 MeV while widths are 17-19 MeV for the 2 − and 3 − states and 10-11 MeV for the 4 − state. The CL potential gives smaller resonance energies (6-8 MeV) and widths (9)(10)(11)(12)(13)(14)(15)(16) in comparison with other three potentials. We would like to remark that, among the resonance parameters given in Tables I-IV, the MN and FU potentials give the lower resonance energy in the 2 − state than that in the 0 − state whereas the 2 − state has the broader width than the 0 − state has, as easily seen in Fig.…”

“…these odd states must be, in the shell model configuration, given by the 1hω excitation, where one nucleon in the p-shell excites into the sd-shell or one in the s-shell excites into the p-shell. Although the odd-wave t+t clustering state implies the s-hole dominance in the shell model configuration [10], it is known that the shell model requires much higher excitation in order to reproduce accurately a cluster model wave function for a developed clustering state [36]. The resonance parameters of T = 1 states obtained by the ACS for the different N -N interactions are given in an upper part of Tables I-IV.…”

“…I, the spin-orbit and tensor terms, which is not included in the preceding theoretical studies [7,10], are taken into account in the our effective nucleonnucleon interactions. In order to examine the roles of the spin-orbit and tensor terms in the effective nucleon-nucleon interaction for the T = 1 odd-wave resonances, we have again calculated the odd-wave phase shifts in 6 He but omitting the spin-orbit and/or tensor terms so as to compare these with those in Fig.…”

“…More recently, Ohkura et al [10] employed the complex scaling method (CSM) [11,12] in the RGM calculation in order to localize these broad P -and * Electronic address: arai@nagaoka-ct.ac.jp F -wave resonance states in 6 Li. It is to be noted that their calculations neglected the spin-orbit and tensor terms of the interaction whereas these are essential to know the spin-parity and width of the P -and F -wave resonances.…”