The Regulated NiCu Cycles with the new $^{57}$Cu(p,$gamma$)$^{58}$Zn reaction rate and the Influence on Type-I X-Ray Bursts: GS 1826$-$24 Clocked Burster. (arXiv:2107.11552v2 [astro-ph.HE] UPDATED)
<a href="http://arxiv.org/find/astro-ph/1/au:+Lam_Y/0/1/0/all/0/1">Yi Hua Lam</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Lu_N/0/1/0/all/0/1">Ning Lu</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Heger_A/0/1/0/all/0/1">Alexander Heger</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Jacobs_A/0/1/0/all/0/1">Adam Michael Jacobs</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Smirnova_N/0/1/0/all/0/1">Nadezda A. Smirnova</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Nieto_T/0/1/0/all/0/1">Teresa Kurtukian Nieto</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Johnston_Z/0/1/0/all/0/1">Zac Johnston</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Kubono_S/0/1/0/all/0/1">Shigeru Kubono</a>

During the X-ray bursts of GS 1826$-$24, “clocked burster”, the nuclear
reaction flow that surges through the rapid-proton capture process path has to
pass through the NiCu cycles before reaching the ZnGa cycles that moderate the
further extent of hydrogen burning in the region above germanium and selenium
isotopes. The $^{57}$Cu(p,$gamma$)$^{58}$Zn reaction located in the NiCu
cycles plays an important role in influencing the burst light curves as found
by Cyburt et al. (2016). We deduce the $^{57}$Cu(p,$gamma$)$^{58}$Zn reaction
rate based on the experimentally determined important nuclear structure
information, isobaric-multiplet-mass equation, and large-scale shell model
calculations. Based on the isobaric-multiplet-mass equation, we propose a
possible order of $1^+_1$ and $2^+_3$ dominant resonance states and constrain
the resonance energy of the $1^+_2$ state. The latter reduces the contribution
of the $1^+_2$ dominant resonance state. The new reaction rate is up to a
factor of four lower than the Forstner et al. (2001) rate recommended by JINA
REACLIB v2.2 at the temperature regime sensitive to clocked bursts of GS
1826$-$24. Using the simulation from the one-dimensional implicit hydrodynamic
code, KEPLER, to model the thermonuclear X-ray bursts of GS 1826$-$24 clocked
burster, we find that the new $^{57}$Cu(p,$gamma$)$^{58}$Zn coupled with the
latest $^{56}$Ni(p,$gamma$)$^{57}$Cu and $^{55}$Ni(p,$gamma$)$^{56}$Cu
reaction rates redistributes the reaction flow in the NiCu cycles and strongly
influences the burst ash composition, whereas the
$^{59}$Cu(p,$alpha$)$^{56}$Ni and $^{59}$Cu(p,$gamma$)$^{60}$Zn reactions
suppress the influence of the $^{57}$Cu(p,$gamma$)$^{58}$Zn reaction and
diminish the impact of nuclear reaction flow that by-passes the important
$^{56}$Ni waiting point induced by the $^{55}$Ni(p,$gamma$)$^{56}$Cu reaction
on burst light curve.

During the X-ray bursts of GS 1826$-$24, “clocked burster”, the nuclear
reaction flow that surges through the rapid-proton capture process path has to
pass through the NiCu cycles before reaching the ZnGa cycles that moderate the
further extent of hydrogen burning in the region above germanium and selenium
isotopes. The $^{57}$Cu(p,$gamma$)$^{58}$Zn reaction located in the NiCu
cycles plays an important role in influencing the burst light curves as found
by Cyburt et al. (2016). We deduce the $^{57}$Cu(p,$gamma$)$^{58}$Zn reaction
rate based on the experimentally determined important nuclear structure
information, isobaric-multiplet-mass equation, and large-scale shell model
calculations. Based on the isobaric-multiplet-mass equation, we propose a
possible order of $1^+_1$ and $2^+_3$ dominant resonance states and constrain
the resonance energy of the $1^+_2$ state. The latter reduces the contribution
of the $1^+_2$ dominant resonance state. The new reaction rate is up to a
factor of four lower than the Forstner et al. (2001) rate recommended by JINA
REACLIB v2.2 at the temperature regime sensitive to clocked bursts of GS
1826$-$24. Using the simulation from the one-dimensional implicit hydrodynamic
code, KEPLER, to model the thermonuclear X-ray bursts of GS 1826$-$24 clocked
burster, we find that the new $^{57}$Cu(p,$gamma$)$^{58}$Zn coupled with the
latest $^{56}$Ni(p,$gamma$)$^{57}$Cu and $^{55}$Ni(p,$gamma$)$^{56}$Cu
reaction rates redistributes the reaction flow in the NiCu cycles and strongly
influences the burst ash composition, whereas the
$^{59}$Cu(p,$alpha$)$^{56}$Ni and $^{59}$Cu(p,$gamma$)$^{60}$Zn reactions
suppress the influence of the $^{57}$Cu(p,$gamma$)$^{58}$Zn reaction and
diminish the impact of nuclear reaction flow that by-passes the important
$^{56}$Ni waiting point induced by the $^{55}$Ni(p,$gamma$)$^{56}$Cu reaction
on burst light curve.

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