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Chemical potential response of pseudoscalar meson masses in the Nambu--Jona-Lasinio model
High Energy Physics - Lattice · Submitted 15 Oct 2001
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim It means that dm/d\mu is much dependent on the mass difference between the two quarks, i.e., the u and s quarks (or even between the u and d quarks).
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The abstract, sentence by sentence
Using the Nambu--Jona-Lasinio (NJL) model we study chemical potential response of the pion and kaon masses as a function of temperature and chemical potential, i.e., dm/d\mu (T, \mu). First, we obtain the responses assuming the vector-axial vector coupling is zero (g_V=0). Then, we include a non-zero g_V and study the effects of g_V on the responses. We find that the behavior of dm/d\mu for the pion is quite different from that for the kaon. It means that dm/d\mu is much dependent on the mass difference between the two quarks, i.e., the u and s quarks (or even between the u and d quarks). Our results may give a clue to future studies of dm/d\mu on the lattice.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Using the Nambu--Jona-Lasinio (NJL) model we study chemical potential response of the pion and kaon masses as a function of temperature and chemical potential, i.e., dm/d\mu (T, \mu). | contribution 0.98 | 0.93 | 0.05 | asserted 0.91 |
| s1 | First, we obtain the responses assuming the vector-axial vector coupling is zero (g_V=0). | method 0.93 | 0.94 | 0.02 | asserted 0.97 |
| s2 | Then, we include a non-zero g_V and study the effects of g_V on the responses. | method 0.87 | 0.94 | 0.03 | asserted 0.75 |
| s3 | We find that the behavior of dm/d\mu for the pion is quite different from that for the kaon. | result 1.00 | 0.96 | 0.46 | asserted 1.00 |
| s4 | It means that dm/d\mu is much dependent on the mass difference between the two quarks, i.e., the u and s quarks (or even between the u and d quarks). | interpretation 0.99 | 0.82 | 0.60 | asserted 0.94 |
| s5 | Our results may give a clue to future studies of dm/d\mu on the lattice. | future work 0.93 | 0.35 | 0.06 | hedged possibility 1.00 |
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The paper
Original abstract
Using the Nambu--Jona-Lasinio (NJL) model we study chemical potential response of the pion and kaon masses as a function of temperature and chemical potential, i.e., dm/d\mu (T, \mu). First, we obtain the responses assuming the vector-axial vector coupling is zero (g_V=0). Then, we include a non-zero g_V and study the effects of g_V on the responses. We find that the behavior of dm/d\mu for the pion is quite different from that for the kaon. It means that dm/d\mu is much dependent on the mass difference between the two quarks, i.e., the u and s quarks (or even between the u and d quarks). Our results may give a clue to future studies of dm/d\mu on the lattice.
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